검색어 frequency에 대한 글을 관련성을 기준으로 정렬하여 표시합니다. 날짜순 정렬 모든 글 표시
검색어 frequency에 대한 글을 관련성을 기준으로 정렬하여 표시합니다. 날짜순 정렬 모든 글 표시

2016년 5월 5일 목요일

Receiver

Receiver

An example (AM radio) of the receiver

The receiver (じゅしんき) receives a signal among communication machines and is the device which regains the health, and restores information. In addition, the sending out side of the signal is a transmitter. I am called radio receiver, receiver, tuner, RX.

The reason of "the receiver" is "a receiver", but I include it to the sound reproduction device including the speaker when I say a receiver and it is Japanese and is usually often equivalent to "a radio" (there is the meaning called the receiver of the radiobroadcast in English radio). I may say a receiver referring to headphones to tie to the receiver. On the other hand, it may be the meaning such as "the tuner" which does not include speakers when I say a receiver and often points to the device receiving a device more full-scale than a radio, an electric wave except the general radiobroadcast again.

I refer to the radio # receiver.

Table of contents

Constitution of the receiver

The basic constitution of the receiver consists of the following. At first I receive an electric wave with an antenna (and I ground it) and take out an objective electric wave signal by a tuning circuit. Radio Frequency abbreviates here and says RF. I get a voice signal by the recovery (detect) from a signal of RF. It is said for RF for short with AF Audio Frequency. I output a signal of AF to speakers and get a sound.

The ore radio is a receiver only by this basic constitution. I pick up the amplification with the practical receiver appropriately.

The figure is constitution of the orthodox receiver of the analog era. Even problems of 無線技士試験 are seen with a thing of the I.F. two steps amplification in one step of high frequency, super-heterodyne system. It is mainly designation ぜられた with "2 in high 1" for the vacuum tube era.

2 receivers in high 1
High frequency amplifier
It is choice and a low noise amplifier to amplify with an input signal. When a signal is feeble, it can be assumed that I make a stage for the first grade at a good device of the SN ratio (SN ratio). Transistors such as the HEMT of the low noise are used now in the UHF zones. With the receivers more than a UHF zone, I am often called LNA (Low Noise Amplifier). Depending on a case and the demand specifications that an input signal has a big enough, the high frequency stage of the front end is omissible. In addition, LNA is not used with the car telephone in the 1980s because an equal receiving sensitivity is provided if I put transistor which is a low noise and small BPF of the loss together and design the mixer when there is LNA. Unwanted radio wave emission (there is a duty to hold part oscillator (local )→ mixer → high frequency amplifier → antenna) in check.from an antenna called the leak local as a secret duty of the high frequency amplifier The amplifier has a gain in the order direction, but it becomes the negative gain for the opposite direction and damps a country signal flowing backward.
Frequency changer
I am comprised of a part oscillator and a mixed container (I say a mixer or the mixer). It is the circuit which converts a reception signal into constant low frequency (there is much intermediate frequency of 455kHz in the case of medium frequency Zone (531-1602kHz) of the figure in question intermediate frequency) regardless of the frequency. The reasons to frequency-convert here are as follows and have a particularly important meaning in a reception circuit.
  • When I am going to amplify it to the level that it can demodulate as the frequency of the signal targeted for the reception, positive feedback occurs and oscillates it, and an amplifier is easy to become unstable.
  • The saturation of interference and the latter half amplifier occurs when I do not damp the signal except the signal targeted for the reception by a narrow-band filter, but it is necessary for the thing that is not easy, low frequency to convert that variableness does the tuning frequency of the narrowband filter of the high selectivity into a signal of the constant low frequency (= intermediate frequency) from making of narrowband filter and Suiko of the high selectivity.
  • Because low frequency is easy to make the circuit to receive and process of the latter half to some extent, it is necessary to convert it into constant low frequency (= intermediate frequency).
I call this a superheterodyne (it is said that it is super with a thing of once to have been abbreviated, and to frequency-convert commonly with a single supermarket.as for the thing of the twice a double supermarket) method. In 1918, it was invented by Edwin Armstrong. The frequency is converted into the frequency of differences between input signal and part oscillator output (intermediate frequency may be higher than reception frequency recently, and, in that case, the constitution of the frequency of the sum is possible, too). In addition, in the super-heterodyne system, I receive the image frequency other than frequency for the reception (image interference). It is necessary to damp image frequency by a filter enough before entering the mixer not to receive a signal of the image frequency, but an image rejection-shaped mixer comes to be used by the reception circuit of recent receiver, e.g., Bluetooth;; is not necessary.
I.F. amplifier
Variableness does an amplification rate by the strength and weakness of the input signal, and, as for the purpose of this amplifier, 1 keeps a fixed input signal level to a demodulator filter function, 3 to remove an unnecessary signal of the frequency that amplification, 2 to the level that can recover were next to; is gain control (AGC) functions automatically.
Demodulator
I include a necessary recovery function by a communication method to receive. I assumed an envelope curve wave detector here.
Low frequency amplifier
I power-amplify the audio frequency signal which is the output of the wave detector to a level to be able to sound a speaker.

Circuit method except the superheterodyne

The circuit method except the superheterodyne includes next. The current mainstream is double super-heterodyne system and a direct conversion method in the field of radio. As for AM, the FM receiver, super-heterodyne system is still mainstream.

Straight
I input to a wave detector after the amplification without frequency-converting the high frequency signal which I received without or amplifying it and get a low frequency signal. In practice, I am hardly used. I am seen in the AM radios of the electronic work kit now.
Reflex
After amplifying a high frequency signal with one vacuum tube, transistor, and having detected it, it goes back up for the input of the same vacuum tube, transistor again and amplifies the low frequency. The constitution that was seen in the receiver of the times when a vacuum tube and a transistor were expensive well. I am seen in the AM radios of the electronic work kit now.
Reproduction
A method to return a part of the high frequency signal to the input side (positive feedback). There is the fault that I oscillate when quantity of return is too strong while a high amplification degree is provided by a brief circuit. There is the method that dispensed with adjustment of the quantity of return by letting an oscillation make an intermittent continuation (quenching) intentionally and is called superregeneration. I am hardly used now. The constitution (regular three, regular four) not to have a high frequency stage becomes the unnecessary radiation that a signal is released as an electric wave by an antenna when quantity of return is excessive and oscillates it. In 1947 after the World War II defeat, the Japanese Government prohibited the production sale of the regenerative radio by the company by an advice of GHQ [1].
High frequency tuning (TRF)
A method to have a tuning circuit in front and behind a high frequency stage (and sometimes plurally), and to go along with in each. With the double tuning.
Double superheterodyne
After the IF amplifier of the superheterodyne, I prepare for a mixer and from station one more and am a method to frequency-convert already once. It is said that 1st is local by 1stIF, from station in first IF, and 2nd is local by 2ndIF, from station in the second IF. There is the merit that image interference can strengthen by the RF filter that it is easy that it is possible at 1stIF frequency highly to divide it into twice, and to cut down on frequency and can keep image frequency away. It is a method spreading most with radio machines now. In addition, in the reason top, a mixer and from station can evade image interference so as to increase it if it increases numbers, and there are triple (three times), the thing of the hoe gong pull (four times) by the number of the steps, too, but, actually, is very special enough by an RF filter now because I can drop an image. The pentapull (five times) has not yet appeared. There were the times when it was ever evaluated simply if triple is higher-performance than a double, a double than a single, but it is at the present when a filter and a semiconductor, a design technology developed, and such an evaluation does not have a meaning. 455kHz was ever often used for 2ndIF, but 450kHz may be used recently to use a standard oscillator of PLL and an oscillator of the 2nd country in common. In addition, I may compose 2ndIF filter of the active filter in the IC, and in this case lower frequency is used.
Direct conversion
A method to get audio frequency directly without making the frequency of the part oscillator approximately same as reception frequency, and using intermediate frequency. It is old and was used for single sideband (SSB), the reception of telegraphic communication (CW) by the amplitude modulation, but in late years the adoption with the cell-phone is prosperous to be able to lose big, expensive IF filter.

Example of the classic receiver

  • A receiver to receive radio receiver (radio) - radiobroadcast. The signal which regained its health converts it into sound vibration with a speaker and the earphone which are a voice signal (audio system signal) and listens.
Five pitches of supermarket radios with MT tube transformer of about 1955
It is 6BE6,6BA6,6AV6,6AR5,5MK9 from the vacuum tube (MT tube) left used for five pitches of supermarket radios mentioned above

The chart below is constitution of five pitches of supermarket radios (radio with the transformer using early miniature (MT) pipe) of (about 1955) for the vacuum tube era.

Five pitches of supermarket radios

  • Vacuum tube example of five pitches of supermarket radios
Use ST pipe GT pipe (*) With MT tube transformer MT tube transformer reply Remarks
Amplification of high frequency (UZ) 6D6 6SK7 6BA6
6BD6
(**) Only in the high-quality plane six pitches supermarket
Intermediate frequency conversion 6WC5 6SA7 6BE6 12BE6
The intermediate frequency amplification (UZ) 6D6 6SK7 6BA6
6BD6
12BA6
Detection, the low frequency amplification 6ZDH3A 6SQ7 6AV6 12AV6
Power amplification (UZ) 42
6ZP1
6F6
6V6
6AR5
6AQ5
30A5
35C5
Rectify (KX) 80
(KX) 12F
6X5
5Y3
5MK9
6X4
35W4
  • (*) The GT pipe was not common in Japan.
  • (**) When reduction in cost was given priority to over the MT tube transformer reply as a product of the last years of vacuum tube from about 1958, there is not most of the amplification of high frequency from circuital limitation.

General coverage receiver (wideband receiver)

The radio having the plural RF part was called outcome "all-frequency" before the war when the use of the radio spread with a long wave, medium frequency, a short wave to cover those all bands. Such radio which even the possibility that could intercept the information from the foreign countries and sometimes military communication was was regulated in wartime (by the political situation, it is similar now depending on a country).

I set intermediate frequency well and, by a technological change, did it using PLL synthesizer as a part oscillator not an analog oscillation circuit and was able to receive ultra high frequency from a long wave continually (depending on a design without a band change). General coverage (ゼネカバ) receiver or a wideband receiver means this. There are an expensive receiver for business use and the small handy receiver which in late years is consumer as a reception function of the amateur radio communications machine supporting many bands in the early days.

RZ-1 of Kenwood, FRG-965 of YAESU MUSEN, standard (Marantz Japan) AX700 convert a tuner for the CATV for foreign countries made in SHARP. I take 1stIF near frequency of the personal radio communications service with part oscillatory frequency as approximately 1-2GHz, and SR001 (a reception frequency range: 25-1000MHz) of the Nobukazu communication machine converts the reception circuit of the personal radio communications service machine. This receiver was able to receive the circuitry top from a long wave, but it is said that I wore a mask because I cannot guarantee performance.

Receiver of the new method

Direct or, in the 2000s, input the signal which I received into analog - digital conversion circuit after frequency conversion, and I calculate it, and the DSP method with the output is put to practical use, too. Such a receiver is called a software receiver or a software radio, abbreviated designation SDR (Software Defined Radio).

Software receiver using the PC

After having done down-converting (I frequency-convert) to the frequency that the sound card of the PC can handle, I input the reception signal which I caught with an antenna into the sound card of the PC, and the experiment of the method that selects it, and processes the recovery is performed by software.

Footnote

[Help]
  1. For ^ well edge Kazumasa (いばたかずまさ) "story "CQ ham radio" April, 2009 issue of a breast or the series intermediate frequency", CQ publishing company, 2,009 years, it is 144-145 pages.

Allied item

Outside link

This article is taken from the Japanese Wikipedia Receiver

This article is distributed by cc-by-sa or GFDL license in accordance with the provisions of Wikipedia.

Wikipedia and Tranpedia does not guarantee the accuracy of this document. See our disclaimer for more information.

In addition, Tranpedia is simply not responsible for any show is only by translating the writings of foreign licenses that are compatible with CC-BY-SA license information.

2017년 5월 28일 일요일

Gold drop brewing

Gold drop brewing

Gold drop brewing Co., Ltd.
Kind Company
The head office location Japanese flag Japan
073-1103
71-7, Chuo, Shintotsukawa-cho, Kabato-gun, Hokkaido

The establishment 1906
Type of industry Food
Business contents Refined sake production, sale
Representative Isao Tsurube [1]
Capital 15 million yen
Outside link kinteki.co.jp
I display a template

Gold drop brewing Co., Ltd. (きんてきしゅぞう) is a brewing maker of Shintotsukawa-cho, Kabato-gun, Hokkaido.

Table of contents

History

  • It is founded "Shintotsugawa brewing Co., Ltd." (1906) on 90 September 10 in 1906 by (nine promoters). The liquor signature at the time the "virtue Tomikawa" "drop of the flower."
  • Increase the capital to 30,000 yen with capital (1918) in October 1917, and do a liquor signature with the "gold drop" "silver drop" "drop of the flower"; is an abolished signature in "virtue Tomikawa". I impress the name from a flow of the Isago River drifting from the Mt. ピンネシリ.
  • It merges three companies of Hirobe brewing, now brewing, the Igarashi brewing under control in the wartime in 1944.
  • A company name is renamed in November, 1951 to "gold drop brewing Co., Ltd.".
  • It is application application of Civil Rehabilitation Law in the Sapporo District Court on April 15, 2008. The obligation had sales of approximately 500 million yen in the golden age when it is caused by approximately 612 million yen, poor sales of the refined sake (Teikoku Databank), but I make a profit afterwards and dwindle. Sales have a deficit to 198 million yen for a fall, the current term of approximately 32 million yen for September, 07 period.

List of products

Enumeration order, the mention content is based on official page product information as of October, 2016. For details, refer to an official product introduction.

  • "Gold drop comet particularly pure Chinese sake" [2]
    • It is pure Chinese sake particularly
    • A rice cleaning rate: 55%
    • The alcohol frequency: 17-18%
    • Sake degree : +4.5
    • Raw materials: Rice (100% of Sorachi, Hokkaido rice produced in "comets"), the U.S. malted rice (Hokkaido rice produced in) 
  • "The drop that purely U.S. brewing sake from the finest rice home brew came"
    • Purely U.S. brewing sake from the finest rice home brew
    • A rice cleaning rate: 55%
    • The alcohol frequency: 17-18%
    • Raw materials: Rice (Shintotsugawa product "drop 100% which came"), the U.S. malted rice (Shintotsugawa rice produced in)
  • Liquor "大吟醸郷思村愛" of the 110th anniversary of the establishment of a business
    • Great brewing sake from the finest rice
    • A rice cleaning rate: 35%
    • The alcohol frequency: 16-17%
    • Raw materials: Rice ("吟風" 100% from Shintotsukawa, Hokkaido), United States malted rice (Hokkaido rice produced in), brewing alcohol
  • Liquor "brewing sake from the finest rice home brew 110 years" of the 110th anniversary of the establishment of a business [3]
    • Brewing sake from the finest rice home brew
    • A rice cleaning rate: 50%
    • The alcohol frequency: 17-18%
    • Raw materials: Rice (brewing suitable rice [4] from Hokkaido), United States malted rice (Hokkaido rice produced in), brewing alcohol
  • "Gold drop size brewing sake from the finest rice"
    • Large quality sake brewed from the finest rice
    • A rice cleaning rate: 35%
    • The alcohol frequency: 16-17%
    • A sake degree: +1.5
    • Raw materials: Rice ("吟風" 100% from Shintotsukawa, Hokkaido), United States malted rice (Hokkaido rice produced in), brewing alcohol
  • "Gold drop pure rice size quality sake brewed from the finest rice"
    • Pure rice size brewing sake from the finest rice
    • A rice cleaning rate: 40%
    • The alcohol frequency: 16-17%
    • A sake degree: +-0
    • Raw materials: Rice ("吟風" 100% from Hokkaido), the U.S. malted rice (Hokkaido rice produced in)
  • "Gold drop purely U.S. brewing sake from the finest rice"
    • The purely U.S. brewing sake from the finest rice
    • A rice cleaning rate: 55%
    • The alcohol frequency: It is 16% 15
    • A sake degree: +2
    • Raw materials: Rice (brewing suitable rice from Hokkaido), the U.S. malted rice (Hokkaido rice produced in)
  • "A gold drop pure purse"
    • This brewing (gold leaf liquor [5])
    • A rice cleaning rate: 70%
    • The alcohol frequency: It is 16% 15
    • A sake degree: +2.5%
    • Raw materials: Rice (brewing suitable rice from Hokkaido), United States malted rice (Hokkaido rice produced in), brewing alcohol
  • "A smile of the purely U.S. brewing sake from the finest rice north"
    • The purely U.S. quality sake brewed from the finest rice
    • A rice cleaning rate: 55%
    • The alcohol frequency: 15-16%
    • A sake degree: +2
    • Raw materials: Rice (brewing suitable rice from Hokkaido), the U.S. malted rice (Hokkaido rice produced in)
  • "Especially pure Chinese sake Shintotsugawa"
    • It is pure Chinese sake particularly
    • -55% of rice cleaning rates
    • Alcohol frequency - 15-16%
    • A sake degree: +3
    • Raw materials: Rice (brewing suitable rice from Hokkaido), the U.S. malted rice (Hokkaido rice produced in)
  • "North pure Chinese sake"
    • Pure Chinese sake
    • A rice cleaning rate: 60%
    • 15-16% of alcohol frequency
    • A sake degree: +3
    • Raw materials: Rice (brewing suitable rice from Hokkaido), the U.S. malted rice (Hokkaido rice produced in)
  • "本醸造上撰金冠金滴" [6]
    • This brewing
    • A rice cleaning rate: 70%
    • The alcohol frequency: 15-16%
    • A sake degree: +2.5
    • Raw materials: Rice (Hokkaido rice produced in), United States malted rice (Hokkaido rice produced in), brewing alcohol
  • "This brewing Zuiho"
    • This brewing
    • A rice cleaning rate: 70%
    • The alcohol frequency: 14-15%
    • A sake degree: +1
    • Raw materials: Rice (Hokkaido rice produced in), United States malted rice (Hokkaido rice produced in), brewing alcohol
  • "Dream bookmaking of Mr. purely U.S. brewing sake from the finest rice company"
    • The purely U.S. quality sake brewed from the finest rice
    • A rice cleaning rate: 60%
    • The alcohol frequency: 15.3%
    • A sake degree: +3
    • Raw materials: Rice (all supply of provisions rice produced in), the U.S. malted rice (domestic rice)
  • "The poetry story of the purely U.S. brewing sake from the finest rice village"
    • The purely U.S. brewing sake from the finest rice
    • A rice cleaning rate: 60%
    • The alcohol frequency: 13-14%
    • A sake degree: +2
    • Raw materials: Rice (domestic rice), the U.S. malted rice (domestic rice)
  • "A poetry story of this brewing company"
    • This brewing
    • A rice cleaning rate: 70%
    • The alcohol frequency: 13-14%
    • A sake degree: +2.5
    • Raw materials: Rice (domestic rice), United States malted rice (domestic rice), brewing alcohol
  • "180 ml of purely U.S. cups"
    • Pure Chinese sake (cup liquor)
    • A rice cleaning rate: 60%
    • The alcohol frequency: 15-16%
    • A sake degree: +3
    • Raw materials: Rice (Hokkaido rice produced in), the U.S. malted rice (Hokkaido rice produced in)
  • "The Dharma doll of the snowy district"
    • This brewing (snowman-shaped 陶器入)
    • A rice cleaning rate: 70%
    • The alcohol frequency: 14-15%
    • A sake degree: +1
    • Raw materials: Rice (Hokkaido rice produced in), United States malted rice (Hokkaido rice produced in), brewing alcohol
  • "Purely U.S. brewing sake from the finest rice Hokkaido Shinkansen opening of business memory liquor"
    • The purely U.S. quality sake brewed from the finest rice
    • A rice cleaning rate: 55%
    • The alcohol frequency: 15-16%
    • A sake degree: +2%
    • Raw materials: Rice (gross quantity Hokkaido rice produced in), the U.S. malted rice (Hokkaido rice produced in)
  • "本造酒北海道新幹線開業記念酒"
    • This brewing (cup liquor)
    • A rice cleaning rate: 70%
    • The alcohol frequency: 15-16%
    • A sake degree: +1.5
    • Raw materials: Rice (Hokkaido rice produced in), United States malted rice (Hokkaido rice produced in), brewing alcohol

Visit to sake brewery

  • I can observe it.
    • But, a reservation required, in - around March, impossible of a visit in around October [7].
      • A holiday: No fixed holiday [8] when Saturdays, Sundays, and holidays become the suspension of business basically
        • About the stand, do business during (from 10:00 to 16:00) on Saturdays, Sundays, and holidays; the New Year holidays first three days of a new year a stand regular holiday [8].
  • Storehouse difference: "Sake brewery Festival"
    • Once a year holding. In 2016, I hold it in June [9].

Company concerned

Explanatory note

  1. ^ well bucket 勲公式 website - Hokkaido congressist, Sorachi Subprefectural Office jurisdiction election, Liberal Democratic Party well bucket 勳
  2. As of ^ October, 2016, I am enumerated in a list and the gold drop mail order page of the official product information by a list, and drop mail order page / is a pure Chinese sake page particularly, and there is a product publication, but, in this "drop comet," it is in "404 Not Found" in the page as the individual treatment product.
  3. As of ^ October, 2016, there is a product publication in the formal product information page, but, for this "brewing sake from the finest rice home brew 110 years," there is not a publication on the mail order page.
  4. Bean knowledge "brewing suitable rice - Hokkaido brewing association of the ^ liquor from Hokkaido"
  5. I know ^ and enjoy it> I know the skill to arouse> Various sake> Sake with gold leaf - Laurel crownCompany
  6. In the ^ mail order page, I am introduced by the name "this brewing gold crown gold drop".
  7. Sightseeing in sightseeing in ^ sake - Hokkaido official site "GoodDay Hokkaido "nonprofit foundation Hokkaido promotion mechanism
  8. ^ a b c Company profile - gold drop brewing Co., Ltd.
  9. ^ event guide> Gold drop sake brewery Festival - jalan
  10. ^ Sapporo National Tax Agency> Information about the liquor> Lists of such as new acquisitor names licenses> Lists of such as new acquisitor names alcoholic beverages dealership licenses> Lists of alcoholic beverages dealership licenses (Hokkaido) such as new acquisitor names> Lists of alcoholic beverages dealership licenses (for November, 2015) such as new acquisitor names - The National Tax Agency. According to this link, an alcoholic beverages dealership license about wholesale, the import and export was issued newly from Sapporo south taxation office on November 10, 2015.
  11. ^ support company - ever plus planning Co., Ltd. In August, 2015, I establish it in Eniwa-shi, Hokkaido.

Allied item

Outside link

This article is taken from the Japanese Wikipedia Gold drop brewing

This article is distributed by cc-by-sa or GFDL license in accordance with the provisions of Wikipedia.

Wikipedia and Tranpedia does not guarantee the accuracy of this document. See our disclaimer for more information.

In addition, Tranpedia is simply not responsible for any show is only by translating the writings of foreign licenses that are compatible with CC-BY-SA license information.

2016년 11월 7일 월요일

Growl

Growl

With growl (growl),


Two waves which are slightly different from growl (English: beat) in the physics in number of vibrations (or frequency) interfere it and say a phenomenon to produce the composition wave that the amplitude turns into periodically slowly [1].

For example, the strength and weakness of the sound are asked in a period equivalent to a difference of the frequency of each fundamental tone when two sound waves that slightly vary in pace sound. I hear two sounds then to be one sound, but hear both as a two sound of the distinction when pace leaves it to some extent.

Table of contents

Mathematical explanation

As the simplest case, I think about the composition of two signatures wave that are equal to both strength and phase. When only width 2 α composes two sound sin (ω-α)t and sin (ω+α)t (in t time) where were out of an angular frequency back and forth, mainly on angular frequency ω [note 1], the composition sound is as follows (the transformation of the expression refers to a trigonometric function).

 

As a result, the synthetic sound becomes the wave pattern that the amplitude of the sound of angular frequency ω fluctuates in angular frequency 2 α [note 2].

Example

 
At first I oscillate a sine wave of 442Hz in a sine wave of 438Hz next from the right side from the left side. I let you oscillate both at the same time and produce a growl afterwards.

When cannot watch this sound and picture well; Help: Please see the reproduction of a sound, the animation.

For example, frequency cannot understand a conjugation of the sound pressure of one one between the people for a sound of 440Hz. However, frequency of the growls of 438Hz and 442Hz is 4Hz (four times a second); can be reasonable easily.

 

Green is the wave which a wave, blue of frequency 104Hz put on top of one another a wave of frequency 110Hz red, and a growl of 6Hz is seen in the upper figure.

Footnote

  1. I used angular frequency ω to become easy to see a numerical formula ^ here, but am the same because frequency f has a relationship of angular frequency and ω = 2πf even if I think at frequency.
  2. A factor of ^ cos is plus, but even minus number is careful about showing the same effect as the amplitude.

References

  1. For ^ Zensuke Tokuoka edition "physics outline bottom" arts and sciences book publishing company, 1,988 years, it is page 31. ISBN 4-87361-022-2. 
  • Serway, R. A., Vuille, C. College Physics. Volume 1, Ninth Edition, Cengage Learning, 2011, p. 499.

Allied item

This article is taken from the Japanese Wikipedia Growl

This article is distributed by cc-by-sa or GFDL license in accordance with the provisions of Wikipedia.

Wikipedia and Tranpedia does not guarantee the accuracy of this document. See our disclaimer for more information.

In addition, Tranpedia is simply not responsible for any show is only by translating the writings of foreign licenses that are compatible with CC-BY-SA license information.

2016년 9월 17일 토요일

Lamb wave

Lamb wave

The lamb wave (British: Lamb waves) is a kind of the elastic wave propagation mode to propagate the whole sheet of the elastic body which is homogeneous equal one. The speed dispersibility that phase velocity changes by frequency and innumerable propagation mode have the existing polymodal nature. Dispersion relations were led in 1917 by Horace Lamb [1].

As for the lamb wave, the plane of vibration points to the thing which is perpendicular to the board surface in a guide wave propagating the whole board which is homogeneous equal one. In addition, a plane of vibration is called a board wave by the SH wave by the parallel thing for the board surface.

Table of contents

Basic equation

Dispersion expression of relations

I assume that the length of the perpendicular direction is infinite for a propagation direction. The dispersion relations (relations of angular frequency ω and cycle k) of the lamb wave that primary wave speed cL, one of side wave speed cT propagate the board of the one elastic body for thickness 2h put during a vacuum then are expressed as follows. When I assume the wavelength for the propagation direction of the lamb wave λ, cycle k is quantity expressed in k=λ/(2π) here.

This expression is called Reilly = lamb frequency equation in particular. But p,q in a ceremony expresses the cycle ingredient of the direction of a primary wave and the side wave out of the plane each,

I take であり, a real number or a purely imaginary number. The Reilly = lamb frequency equation has cycle k of a real number or the complex number in a solution for angular frequency ω of real number generally. In the case of a real number, k is called propagation mode by the lamb wave to be able to propagate a long distance. Because the amplitude damps according to propagation exponentially, in the case of complex number or a purely imaginary number, k becomes the non-propagation mode. It is all a lamb wave in the meaning to satisfy Reilly = lamb frequency equation, but may call lamb wave propagation mode with a lamb wave depending on context. The Reilly = lamb frequency equation includes a dispersion expression of relations of the Rayleigh wave as an infinite limit of the board thickness or the frequency. I show the property (speed dispersibility, the polymodal nature) as the lamb wave which board thickness in particular stated above for the wavelength of the elastic wave at the same level conspicuously.

Displacement distribution and symmetry, antisymmetric mode

I assume one point on the vertical plane the origin in a board, and the displacement place of the lamb wave is the following expressions, and a propagation direction is expressed using fixed number A, B, C, D when I assume x direction, a board thickness direction z.

A,B,C,D is any fixed number to express the amplitude,

I satisfy を. When I satisfy ΩS=0 in the upper dispersion expression of relations, I can take the solution except the own lucid explanation that A,B becomes 0 together (either or both sides can take non-zero A,B). The displacement ground is called a symmetry mode by the lamb wave propagation mode having such displacement ground for an aspect of z=0 in particular then to become symmetric.

Similarly, I can take the solution except the own lucid explanation that C,D becomes 0 together when I satisfy ΩA=0 (either or both sides can take non-zero C,D). The displacement ground is called a particularly antisymmetric mode by the lamb wave propagation mode having such displacement ground for an aspect of z=0 then to become antisymmetric.

Phase velocity, group speed and dispersion curve

Phase velocity cp of the lamb wave is referred to cp=ω/k. For example, the speed that phase in the surface goes ahead for a propagation direction agrees in this phase velocity cp when a lamb wave of the single frequency propagates a sheet. In addition, I can define cg= ∂ ω/ ∂ k by considering angular frequency ω of the lamb wave to be function ω(k) of cycle k. This cg is called the group speed of the lamb wave, and the wave packet of the lamb wave copes with speed to propagate.

A dispersion curve about the phase velocity. The blue or red line shows a symmetric and antisymmetric mode each. In addition, a solid line and the dotted line show two kinds of different dispersion curves of materials of Poisson ratio σ.

I take frequency on the cross axle, and call the figure which took phase velocity or the group speed in a vertical axis with a dispersion curve and play an important role in knowing the property of the lamb wave. The figure shows a dispersion curve about the phase velocity. A cross axle, the vertical axis are normalized by dividing angular frequency ω and board thickness d(=2h), phase velocity cp (in a figure v) each in side wave speed cT (in a figure vs). The blue or red line shows a symmetric and antisymmetric mode each. In addition, a solid line and the dotted line show two kinds of different dispersion curves of materials of the Poisson ratio.

Property

When I activate an elastic wave from a trembler of the limited size, I spread in the direction except the propagation distance direction. Therefore, the elastic wave damps according to distance generally. Because the energy that the lamb wave is dynamic is shut in in a board, the decrement by this effect is lower than a primary wave and a side wave propagating an infinite medium. In addition, this is a general characteristic of the guide wave having a property to propagate along a border.

The lamb wave has strong speed dispersibility generally unless it is special. Therefore, a wave pattern changes according to propagation when I activate the wave which is broadband. In addition, plural modes can exist at the single frequency.

Extreme

The zeroth symmetric antisymmetric mode satisfies Reilly = lamb frequency equation at any frequency and becomes the propagation mode. The phase velocity and group of the zeroth modes speed accords at propagation speed of the Rayleigh wave in an infinite limit of frequency f or board thickness d(=2h). In addition, the phase velocity of the antisymmetric mode and the group speed agree at the propagation speed of the side wave in an infinite limit of frequency f or board thickness d(=2h) the primary above-mentioned symmetry.

The antisymmetric mode meets Reilly = lamb frequency equation only in higher than a certain frequency the primary above-mentioned symmetry. Therefore, among solutions satisfying Reilly = lamb frequency equation, I call the frequency in the limit of k → 0 of cycle k cut-off frequency [2]. Because the propagation mode of the lamb wave increases whenever frequency exceeds this cut-off frequency (quite), it is the frequency that is important in analysis in practical use. Mode symmetric at the limit of k → 0, angular frequency ωcutoff of the antisymmetric mode each,

I satisfy を. In addition, cut-off frequency ωcutoff may not become the smallest frequency in this lamb wave propagation mode closely because the cut-off frequency in a certain mode is a limit of k → 0 to the last. In other words, ωcr <ωcutoff and the case that it is exist when I assume the smallest frequency ωcr in same lamb wave propagation mode.


References

  1. ^ Lamb, H. "On Waves in an Elastic Plate." Proc. Roy. Soc. London, Ser. A 93, 114–128, 1917.
  2. ^ Graff, K. F. "Wave Motion in Elastic Solids," "Chapter 8 Wave propagation in plates and rods," Dover, New York, 1975
  • Viktorov, I. A. "Rayleigh and Lamb Waves: Physical Theory and Applications," Plenum Press, New York, 1967.
  • Rose, J. L., "Ultrasonic Waves in Solid Media," Cambridge University Press, 1999.

This article is taken from the Japanese Wikipedia Lamb wave

This article is distributed by cc-by-sa or GFDL license in accordance with the provisions of Wikipedia.

Wikipedia and Tranpedia does not guarantee the accuracy of this document. See our disclaimer for more information.

In addition, Tranpedia is simply not responsible for any show is only by translating the writings of foreign licenses that are compatible with CC-BY-SA license information.