CN103869163B - A kind of method of measurement transducer array mutual radiation impedance in non-anechoic tank, and its system - Google Patents

Abstract

The present invention provides a kind of method and system of measurement transducer array mutual radiation impedance, and described method comprises：Step 101）Measure the resonant frequency in the aerial resonant frequency of each transducer and water；Step 102）Q is selected to lay a little in non-acoustic filter pond, for laying transducer pair to be measured；Step 103）By transducer to be measured on certain point being laid in above-mentioned laying a little, resonant frequency homophase and during anti-phase work in first transducer and second transducer are with first transducer air resonance frequency and water, obtains resistance under various working conditions for the first transducer and reactance；Step 104）Repeat the above steps 103）Until completing above-mentioned transducer to be measured to the resistance at all Q lay and reactance measurement；Step 105）Obtain transducer to be measured to resist in the mutual radiation resistance of each point and mutual radiation, Q individual mutually radiation resistance is obtained and mutual radiation resists, mutually radiation resistance or anti-average respectively as the final mutual radiation resistance measuring or resist for calculating Q.

Description

A kind of method of measurement transducer array mutual radiation impedance in non-anechoic tank, and its System

Technical field

The present invention proposes a kind of method of measurement transducer array mutual radiation impedance in non-anechoic tank, its objective is It is applied in the measurement of transducer array parameter, measure in array between each transducer in the case of there is reflection sound wave Mutual radiation impedance.The present invention give also the system of measurement transducer array mutual radiation impedance in non-anechoic tank,.

Background technology

Preferably the measurement of transducer array mutual radiation impedance should be carried out in free field, in general, on lake and sea The environment of first-class field trial is very close to free field.But because the preparation of field trial is loaded down with trivial details, field condition is complicated, implements Difficulty, test period length, costly.Transducer array mutual radiation impedance value is the key factor of impact transducer array performance, Need will measure in the R＆D process of array, and if such measurement carry out in outfield, its cost is excessively high, Thus under prior art conditions, the measurement of transducer array mutual radiation impedance generally completes in pond.

Anechoic tank, is provided that the environment similar to free field, but for those operating frequencies not within the scope of eliminating the noise Transducer array, anechoic tank, still cannot provide satisfied measuring environment, and anechoic tank, in this case deteriorates to one Common non-anechoic tank,.In addition, anechoic tank, cost is extremely high, not all of underwater sound research institution all has the ability to hold Load, what they were used mostly is non-anechoic tank,.Therefore, how to carry out transducer array in non-anechoic tank, mutual for research The measurement of radiation impedance is a need for.

Content of the invention

It is an object of the invention to, for overcoming the problems referred to above, the present invention provides a kind of mutual radiation resistance of measurement transducer array Anti- method and system.

To achieve these goals, the present invention provides a kind of method of measurement transducer array mutual radiation impedance, the method Being capable of measurement performance and the similar piezoelectric ceramic transducer array of parameter in non-anechoic tank, in water tank or in acoustic filter pond In two transducers composition transducer pair mutual radiation impedance parameter, described method comprises：

Step 101）Measure aerial resonant frequency f of each transducer_a, static susceptance value B of transducer₀In water Resonant frequency f_w；

Step 102）Select Q to lay a little in non-acoustic filter pond, in water tank or in anechoic tank, be used for laying to be measured The transducer pair of amount；

Step 103）By transducer to be measured on certain point being laid in above-mentioned laying a little, by transducer centering to be measured First transducer and second transducer with resonant frequency homophase in first transducer air resonance frequency and water and anti-phase work When making, obtain resistance under various working conditions for the first transducer and reactance；

Step 104）Repeat the above steps 103）Until completing above-mentioned transducer centering first transducer to be measured at all Q Resistance at laying and reactance measurement；

Step 105）According to transducer to be measured to the resistance calculations at the premises transducer to be measured in each point Mutually radiation resistance, is obtained Q mutually radiation resistance；And according to transducer to be measured to the reactance at the premises and transducer pair to be measured In any one transducer static susceptance value, it is anti-to mutually radiating in each point to calculate transducer to be measured, and Q mutually spoke is obtained Penetrate anti-；

The average calculating Q mutual radiation resistance is the mutual radiation resistance of the transducer pair to be measured that measurement obtains, and calculates Q mutually radiation The average of impedance is that the mutual radiation of the transducer pair to be measured that measurement obtains resists, and completes the measurement of the mutual radiation impedance of transducer pair.

Above-mentioned steps 101）Comprise further：

Step 101-1）The admittance obtaining in the aerial mechanical admittance curves figure of each transducer and water in transducer array is bent Line chart；

Step 101-2）Obtain resonant frequency f of in the air from the mechanical admittance curves in figure of in the air_αStatic state with transducer Susceptance value B₀, and the mechanical admittance curves in figure from water obtains resonant frequency f in water_w, wherein read resonance from mechanical admittance curves in figure Frequency approach is：Search the maximum of points of conductance plots, its corresponding frequency is exactly resonant frequency f_r, if in the air Mechanical admittance curves figure, then f_rResonant frequency f in the air_a；If the mechanical admittance curves figure in water, then f_rFor the resonance in water intaking Frequency f_w.

Above-mentioned steps 102）Comprise further：

Randomly choose Q to lay a little in non-anechoic tank,；

Or

Select any transducer k in array, calculate the wavelength of its radiative acoustic wave in water, be：

Wherein, c₀Speed for underwater acoustic wave；

The cubical area of a λ × λ × λ is specified in non-anechoic tank, on this cube face and its internal Q=M is uniformly taken in region³Position as laying a little, wherein M >=4.

Above-mentioned steps 103）Specifically comprise：

Under conditions of being located at first transducer u and the work of second transducer v laying on a little, according to the measurement of following methods The resistance of transducer first transducer u and reactance：

A) producing frequency isSignal, be carried in first transducer u and second transducer v, measure first transducer The resistance of uAnd reactance

b）Producing frequency isSignal, be carried in first transducer u, and 180 ° of the phase change by this signal, plus It is loaded in second transducer v, measure the resistance of first transducer uAnd reactance

c）Producing frequency isSignal, be carried in first transducer u and second transducer v, measure the first transducing The resistance of device uAnd reactance

d）Producing frequency isSignal, be carried in first transducer u, 180 ° of the phase change of this signal load In second transducer v, measure the resistance of first transducer uAnd reactance

Wherein,Represent resonant frequency in water for first transducer u,Represent that first transducer u is aerial Resonant frequency.

Above-mentioned steps 105）Using the mutual radiation resistance between equation below calculating first transducer and second transducer with mutually Radiation is anti-：

Transducer to be measured is in the mutual radiation resistance of each point：

Transducer to be measured resists in the mutual radiation of each point：

Transducer to be measured mutual radiation resistance to corresponding final measurement：

Transducer to be measured mutually radiates anti-to corresponding final measurement：

Wherein,Represent the static susceptance value of first transducer u, Q represents the quantity laying a little of setting, q is Q cloth Any one in putting a little lays a little,For the mutual radiation resistance of first transducer u,Mutual radiation for first transducer u resists.

Based on said method present invention also offers a kind of system of measurement transducer array mutual radiation impedance, this system energy The transducing of two transducer compositions in enough measurement performance and the similar piezoelectric ceramic transducer array of parameter in non-anechoic tank, The mutual radiation impedance parameter of device pair, described system comprises：Transducer static parameter measuring apparatus, transducer array mutual radiation impedance Measurement apparatus, processing meanss and lay setting and a mobile device；

Described transducer static parameter measuring apparatus, for measuring aerial resonant frequency f of each transducer_a, transducing Static susceptance value B of device₀And resonant frequency f in water_w, and each parameter input mutual radiation impedance measurement apparatus setting that side is obtained The frequency of signal source；

The signal that signal source exports is given two branch roads by described transducer array mutual radiation impedance measurement apparatus, and wherein One branch road comprises to be sequentially connected in series：First power amplifier, power analyzer and first transducer array element；Second branch road according to Secondary comprise to be connected in series：Phase shifter, the second power amplifier and second transducer；And first power amplifier and phase shifter divide It is not connected with signal source output terminal, described first transducer and second transducer are transducer pair to be measured；Described signal source For generating aerial resonant frequency f of first transducer respectively_αAnd resonant frequency f in water_w；Described power analyzer is used Resistance and reactance in the first transducer measuring under the first power amplifier drives；

The resistance that described processing meanss foundation transducer array mutual radiation impedance measurement apparatus measurement obtains and reactance calculate Obtain the mutual radiation resistance of measurement of transducer pair to be measured and measurement mutually radiates and resists；

Described lay sets and a mobile device, places a transducer pair to be measured for setting Q and laying, and mobile Transducer to be measured is to laying position a little.

Above-mentioned transducer static parameter measuring apparatus tool adopts and passes through holding wire between electric impedance analyzer and first transducer Connect, obtain aerial resonant frequency f of first transducer_a, static susceptance value B of transducer₀With the resonant frequency in water f_w.

Above-mentioned processing meanss comprise further：

Memory element, for depositing what the first transducer array element in transducer array element to be measured obtained when difference lays Resistance and reactance；

First process memory element, for being calculated transducer pair to be measured according to the resistance of memory element storage and reactance Resist and stored in the mutual radiation resistance respectively laying on a little and mutual radiation；

Second processing unit, the mutual radiation resistance for each point according to first processing units storage and mutual radiation resist to be treated The mutual radiation resistance of measurement of transducer array element pair of measurement and measurement mutually radiate and resist.

Described above lay sets and a mobile device：

Lay an arranging unit, for selecting Q point to lay position a little；

Mobile detector unit, completes transducer to be measured for detection and lays resistance a little and reactance measurement at certain；

Mobile unit, when mobile detector unit connect side lay to certain a little move transducer to be measured when being measured Lay a little to Q remaining laying a little.

Above-mentioned second processing unit adopts equation below calculating mutual radiation resistance to be measured and measurement, and mutually radiation is anti-：

Measure mutual radiation resistance：

Measurement mutually radiates anti-：

Wherein, Q is the quantity laying a little, and any one during q lays a little for Q lays a little,For first transducer u Mutually radiation resistance,Mutual radiation for first transducer u resists.

Compared with prior art, the present invention's it is a technical advantage that：

The technical scheme that the present invention provides can substitute outfield experiments or anechoic tank, experiment, surveys in non-free sound field Measure the mutual radiation impedance of transducer array, need when effectively solving using prior art to carry out outfield experiments or needs Using the anechoic tank, that cost is high.

Brief description

Fig. 1 is present invention measurement each transducer aerial static parameter measurement apparatus schematic diagram；

Fig. 2 is present invention measurement static parameter measurement apparatus schematic diagram in water for each transducer；

Fig. 3 is the transducer array mutual radiation impedance measurement apparatus composition frame chart that the present invention provides；

Fig. 4 is the mechanical admittance curves figure of certain transducer in the transducer array that measurement obtains；

Fig. 5 is the flow chart of the method for measurement transducer array mutual radiation impedance that the present invention provides.

Specific embodiment

The present invention is further described with reference to the accompanying drawings and examples.

The purpose of the present invention is to propose to a kind of method of measurement transducer array mutual radiation impedance in non-anechoic tank, and Its system.

The present invention is directed to the problem of reflection sound wave impact measurement in non-anechoic tank, it is proposed that a kind of mutual spoke of transducer array Penetrate impedance measurement method.The method of the present invention is applied to carry out the parameter measurement of transducer array in pond.

Transducer array mutual radiation impedance measuring method of the present invention be applied to performance and parameter similar piezoelectricity pottery Porcelain transducer array, its technical scheme is：

For an array being made up of N number of transducer, in each aerial resonant frequency of transducer 1 and water Resonant frequency and static capacitance value pass through electric impedance analyzer（2）Record, transducer u（3）With transducer v（4）（U, v=1,2, 3 ..., N, u ＜ v）Between mutual radiation impedance pass through signal source（5）, power amplifier 1（6）, the phase shifter（7）, power amplifier 2（8）And power analyzer（9）In non-anechoic tank,（9）Middle realizing measurement, comprise the steps：

Step 1, use electric impedance analyzer（2）, in atmosphere with water in respectively to each transducer（1）Carry out impedance survey Amount, obtains the mechanical admittance curves figure in the mechanical admittance curves figure and water of in the air.

Step 2, obtain resonant frequency f of in the air from the mechanical admittance curves in figure of in the air_αStatic susceptance with transducer Value B₀, mechanical admittance curves in figure from water obtains resonant frequency f in water_w.

Mechanical admittance curves figure as shown in figure 4, therefrom read resonant frequency method be：Search the maximum of points of conductance plots, its Corresponding frequency is exactly resonant frequency f_r.If the mechanical admittance curves figure of in the air, then f_rResonant frequency f in the air_a； If the mechanical admittance curves figure in water, then f_rFor resonant frequency f in water intaking_w.

Obtain the static susceptance value of transducer from the mechanical admittance curves in figure of in the air：Aerial mechanical admittance curves in figure, Read f_aValue B of place's susceptance curve₀.

For i-th transducer in array（I=1,2,3 ..., N）, the resonant frequency of its in the air is designated asIn water Resonant frequency be designated asStatic susceptance value is designated as

Step 3, design transducer array lay a position.Laying a little regioselective principle is：Select one group of number relatively Many lay a little, when transducer array be listed in difference lay at work when, the impact to array performance for the reflection sound wave is different. Can be used but not limited to below scheme：

Scheme one, non-anechoic tank, randomly chooses Q lay a little（Q≥60）.

Scheme two, any transducer k selecting in array, calculate the wavelength of its radiative acoustic wave in water, are：

Wherein, c₀Speed for underwater acoustic wave.The cubical area of a λ × λ × λ is specified in non-anechoic tank, Q=M is uniformly taken on this cube face and its in interior zone³Position（M≥4）As laying a little.

Step 4, lay on a little in all Q, as follows transducer array is measured：

1., transducer array is laid according to modes of emplacement during its work, array center lays a little for q-th（Q=1, 2,3 ..., Q）.

2., two transducer transducer u are specified（3）With transducer v（4）（U, v=1,2,3 ..., N, u ＜ v）, work( Rate amplifier 1（6）Connect transducer u（3）, power amplifier 2（8）Connect transducer v（4）, power amplifier 1（6）And power Amplifier 2（8）Amplification is equal, and removes transducer u（3）With transducer v（4）Outside other each transducers are not all in array Work.In the case of following four, using power analyzer（9）Measurement transducer u（3）Impedance：

Situation I, signal source（5）Producing frequency isSignal, the phase shifter（7）Do not change signal phase, divided using power Analyzer（9）Measure transducer u（3）ResistanceAnd reactance（U, v represent two transducers, and q represents and lay a little, I represents Different signal parameter facilities, similarly hereinafter）.

Situation II, signal source（5）Producing frequency isSignal, the phase shifter（7）Change 180 ° of signal phase, using work( Rate analyser（9）Measure transducer u（3）ResistanceAnd reactance

Situation III, signal source（5）Producing frequency isSignal, the phase shifter（7）Do not change signal phase, using power Analyser（9）Measure transducer u（3）ResistanceAnd reactance

Situation IV, signal source（5）Producing frequency isSignal, the phase shifter（7）Change 180 ° of signal phase, using work( Rate analyser（9）Measure transducer u（3）ResistanceAnd reactance

3., lay on a little at each, according to 2. measuring all of transducer to combination.

4., according to 1. 3. measuring all situations about laying a little.

Step 5, calculate each and lay the interaction between a little upper each pair of transducer.Mutually radiation resistance is：

Mutually radiate to resist and be：

Wherein, u, v=1,2,3 ..., N, u ＜ v, q=1,2,3 ..., Q.

Step 6, calculate mutual radiation resistance between each pair of transducer：

Mutually radiate anti-：

Wherein, u, v=1,2,3 ..., N, u ＜ v.

r_u,vAnd x_u,vIt is transducer u（3）With transducer v（4）Between mutual radiation resistance and mutual radiate anti-（U, v=1,2, 3 ..., N, u ＜ v）.

The system that the method for above-mentioned measurement transducer array mutual radiation impedance in non-anechoic tank, is adopted is non-noise elimination Transducer array mutual radiation impedance measuring system in pond.This system includes：Transducer static parameter measurement part and transducer Array mutual radiation impedance measures part.

Transducer static parameter measurement part includes electric impedance analyzer（2）, the transducer to be measured with parameter（1）Between pass through Holding wire connects.

Transducer array mutual radiation impedance Measurement portion is divided including signal source（5）, power amplifier 1（6）, the phase shifter（7）, work( Rate amplifier 2（8）And power analyzer（9）.Signal source（5）Output port pass through holding wire and power amplifier 1（6）Defeated Inbound port and phase shifter（7）Input port be connected；Power amplifier 1（6）Output port pass through holding wire and transducer u （3）It is connected, middle access power analyser（9）；Phase shifter（7）Output port pass through holding wire and power amplifier 2（8）'s Input port is connected；Power amplifier 2（8）Output port pass through holding wire and transducer v（4）It is connected.

Electric impedance analyzer（2）Can be with mechanical admittance curves in the range of certain frequency for the measurement transducer, for measurement transducer Impedance operator.

Signal source（5）For generating the signal of assigned frequency.

Phase shifter（7）For the requirement according to measuring method, do not change or reverse signal source（5）Generate the phase of signal Position.

Power amplifier 1（6）With power amplifier 2（8）For amplifying signal.

Power analyzer（9）For measuring power amplifier 1（6）Transducer u under driving（3）Resistance and reactance.

In a word, a kind of method of measurement transducer array mutual radiation impedance in non-anechoic tank, of the present invention is： The resonant frequency of each of array transducer and static susceptance value are measured by electric impedance analyzer；In array each to transducer Mutual radiation impedance in resonant frequency is surveyed by signal source, power amplifier 1, phase shifter, power amplifier 2 and power analyzer Fixed.In non-anechoic tank, of the present invention, transducer array mutual radiation impedance measuring system includes signal source, power amplifier 1st, phase shifter, power amplifier 2 and power analyzer, signal source is connected with power amplifier 1 and phase shifter by holding wire, moves Phase device is connected with power amplifier 2 by holding wire, and power amplifier 1 and power amplifier 2 are to be measured by holding wire respectively Transducer is connected, access power analyser between power amplifier 1 and corresponding transducer.

It is pointed out that the foregoing is only the high-speed transfer that the present invention accesses data of magnetic disk array in polycaryon processor Preferred embodiment in Implementation Technology, is not used for limiting the practical range of the present invention, has the skill of professional knowledge base Art personnel can realize the present invention by above embodiment, therefore every according to appointing of being done within the spirit and principles in the present invention What change, modification and improvement, are all covered by the scope of the claims of the present invention.

Claims (10)

1. a kind of method of measurement transducer array mutual radiation impedance, the method or can disappear in non-anechoic tank, in water tank In measurement performance and the similar piezoelectric ceramic transducer array of parameter in sound pond, the transducer pair of two transducer compositions is mutual Radiation impedance parameter, described method comprises：

Step 101) measure aerial resonant frequency f of each transducer_a, static susceptance value B of transducer₀With humorous in water Vibration frequency f_w；

Step 102) select Q to lay a little, for laying to be measured changing in non-anechoic tank, in water tank or in anechoic tank, Can device pair；

Step 103) by transducer to be measured on certain point being laid in above-mentioned laying a little, by the of transducer centering to be measured One transducer and second transducer with when resonant frequency homophase in first transducer air resonance frequency and water and anti-phase work, Obtain resistance under various working conditions for the first transducer and reactance；

Step 104) repeat the above steps 103) until completing the first transducer of above-mentioned transducer centering to be measured in all Q cloth Resistance at putting and reactance measurement；

Step 105) according to transducer to be measured to the resistance calculations at the premises transducer to be measured to the mutual spoke in each point Penetrate resistance, Q mutually radiation resistance is obtained；And according to transducer to be measured to the reactance at the premises and transducer centering to be measured The static susceptance value of any one transducer, calculates transducer to be measured and resists to mutually radiating in each point, be obtained Q and mutually radiate Anti-；

The average calculating the individual mutual radiation resistance of Q is to measure the mutual radiation resistance of the transducer pair to be measured obtaining, and calculates what Q mutual radiation resisted Average is that the mutual radiation of the transducer pair to be measured that measurement obtains resists, and completes the measurement of the mutual radiation impedance of transducer pair.

2. the method for measurement transducer array mutual radiation impedance according to claim 1 is it is characterised in that described step 101) comprise further：

Step 101-1) obtain mechanical admittance curves figure in the aerial mechanical admittance curves figure of each transducer and water in transducer array；

Step 101-2) resonant frequency f of in the air is obtained from the mechanical admittance curves in figure of in the air_aStatic susceptance value with transducer B₀, and the mechanical admittance curves in figure from water obtains resonant frequency f in water_w, wherein read resonant frequency side from mechanical admittance curves in figure Method is：Search the maximum of points of conductance plots, its corresponding frequency is exactly resonant frequency f_r, if the admittance of in the air is bent Line chart, then f_rResonant frequency f in the air_a；If the mechanical admittance curves figure in water, then f_rFor resonant frequency f in water intaking_w.

3. the method for measurement transducer array mutual radiation impedance according to claim 1 is it is characterised in that described step 102) comprise further：

Randomly choose Q to lay a little in non-anechoic tank,；

Or

Select any transducer k in array, calculate the wavelength of its radiative acoustic wave in water, be：

$\mathrm{\λ}=\frac{c_0}{f_w^{\left(k\right)}}$

Wherein, c₀For the speed of underwater acoustic wave, f_w ^(k)For resonant frequency in water for the transducer k；

Specify the cubical area of a λ × λ × λ in non-anechoic tank, on this cube face and its interior zone Inside uniformly take Q=M³Position as laying a little, wherein M >=4.

4. the method for measurement transducer array mutual radiation impedance according to claim 1 is it is characterised in that described step 103) specifically comprise：

Under conditions of working positioned at first transducer u laying on a little and second transducer v, according to the measurement of following methods simultaneously The resistance of transducer first transducer u and reactance：

A) producing frequency isSignal, be carried in first transducer u and second transducer v, measurement first transducer u ResistanceAnd reactance

B) producing frequency isSignal, be carried in first transducer u, and 180 ° of the phase change by this signal, be carried in In second transducer v, measure the resistance of first transducer uAnd reactance

C) producing frequency isSignal, be carried in first transducer u and second transducer v, measure first transducer u ResistanceAnd reactance

D) producing frequency isSignal, be carried in first transducer u, 180 ° of the phase change of this signal be carried in On two transducer v, measure the resistance of first transducer uAnd reactance

Wherein,Represent resonant frequency in water for first transducer u,Represent the aerial resonance of first transducer u Frequency, any one during q lays a little for Q lays a little.

5. the method for measurement transducer array mutual radiation impedance according to claim 4 is it is characterised in that described step 105) equation below is adopted to calculate the mutual radiation resistance between first transducer and second transducer and mutually radiate anti-：

Transducer to be measured is in the mutual radiation resistance of each point：

$r_{u,v}^{\left(q\right)}=\frac{R_{u,v}^{\left(q,I\right)}\·\left\{{\[R_{u,v}^{\left(q,II\right)}\]}^2+{\[X_{u,v}^{\left(q,II\right)}\]}^2\right\}-R_{u,v}^{\left(q,II\right)}\·\left\{{\[R_{u,v}^{\left(q,I\right)}\]}^2+{\[X_{u,v}^{\left(q,I\right)}\]}^2\right\}}{2R_{u,v}^{\left(q,I\right)}{R}_{u,v}^{\left(q,II\right)}}$

Transducer to be measured resists in the mutual radiation of each point：

$x_{u,v}^{\left(q\right)}=\frac{1}{2}\{\frac{X_{u,v}^{\left(q,III\right)}\[1+B_0^{\left(u\right)}{X}_{u,v}^{\left(q,III\right)}\]+B_0^{\left(u\right)}{\[R_{u,v}^{\left(q,III\right)}\]}^2}{{\[1+B_0^{\left(u\right)}{X}_{u,v}^{\left(q,III\right)}\]}^2+{\[B_0^{\left(u\right)}{R}_{u,v}^{\left(q,III\right)}\]}^2}-\frac{X_{u,v}^{\left(q,IV\right)}\[1+B_0^{\left(u\right)}{X}_{u,v}^{\left(q,IV\right)}\]+B_0^{\left(u\right)}{\[R_{u,v}^{\left(q,IV\right)}\]}^2}{{\[1+B_0^{\left(u\right)}{X}_{u,v}^{\left(q,IV\right)}\]}^2+{\[B_0^{\left(u\right)}{R}_{u,v}^{\left(q,IV\right)}\]}^2}\}$

Transducer to be measured mutual radiation resistance to corresponding final measurement：

$r_{u,v}=\frac{1}{Q}\underset{q=1}{\overset{Q}{\Σ}}{r}_{u,v}^{\left(q\right)}$

Transducer to be measured mutually radiates anti-to corresponding final measurement：

$x_{u,v}=\frac{1}{Q}\underset{q=1}{\overset{Q}{\Σ}}{x}_{u,v}^{\left(q\right)}$

Wherein,Represent the static susceptance value of first transducer u, Q represents the quantity laying a little of setting, q is Q and lays a little In any one lay a little,For the mutual radiation resistance of first transducer u,Mutual radiation for first transducer u resists.

6. a kind of system of measurement transducer array mutual radiation impedance, this system can in non-anechoic tank, measurement performance and ginseng The mutual radiation impedance parameter of the transducer pair of two transducer compositions, described system in the similar piezoelectric ceramic transducer array of number Comprise：Transducer static parameter measuring apparatus, transducer array mutual radiation impedance measurement apparatus, processing meanss and lay setting And mobile device；

Described transducer static parameter measuring apparatus, for measuring aerial resonant frequency f of each transducer_a, transducer quiet State susceptance value B₀And resonant frequency f in water_w, and each parameter recording is inputted mutual radiation impedance measurement apparatus setting signal source Frequency；

The signal that signal source exports is given two branch roads by described transducer array mutual radiation impedance measurement apparatus, wherein first Road comprises to be sequentially connected in series：First power amplifier, power analyzer and first transducer；Second branch road comprises to go here and there successively Connection connects：Phase shifter, the second power amplifier and second transducer；And first power amplifier and phase shifter respectively with signal Source output terminal is connected, and described first transducer and second transducer are transducer pair to be measured；Described signal source is used for respectively Generate aerial resonant frequency f of first transducer_aAnd resonant frequency f in water_w；Described power analyzer is used for mensure the The resistance of first transducer under one power amplifier driving and reactance；

The resistance that described processing meanss foundation transducer array mutual radiation impedance measurement apparatus measurement obtains and reactance are calculated The mutual radiation resistance of measurement of transducer pair to be measured and measurement mutually radiate and resist；

Described lay sets and a mobile device, places a transducer pair to be measured for setting Q and laying, and movement is to be measured Amount transducer is to laying position a little.

7. the system of measurement transducer array mutual radiation impedance according to claim 6 is it is characterised in that described transducer Static parameter measurement apparatus include electric impedance analyzer, are connected by holding wire between first transducer, obtain first transducer Aerial resonant frequency f_a, static susceptance value B of transducer₀With resonant frequency f in water_w.

8. the system of measurement transducer array mutual radiation impedance according to claim 6 is it is characterised in that described process fills Put and comprise further：

Memory element, for depositing resistance and the electricity that the first transducer of transducer centering to be measured obtains when difference lays Anti-；

First process memory element, for being calculated transducer to be measured to each according to the resistance of memory element storage and reactance Lay the mutual radiation resistance on a little and mutual radiation resists and stored；

Second processing unit, the mutual radiation resistance for each point according to first processing units storage and mutual radiate anti-obtain to be measured The mutual radiation resistance of measurement of transducer pair and measurement mutually radiate anti-.

9. the system of measurement transducer array mutual radiation impedance according to claim 8 is it is characterised in that described lay a little Set and mobile device includes：

Lay an arranging unit, for selecting the Q position laying a little；

Mobile detector unit, completes transducer to be measured for detection and lays resistance a little and reactance measurement at certain；

Mobile unit, when mobile detector unit detect certain lay a little when being measured, move transducer pair to be measured Lay a little to Q remaining laying a little.

10. the system of measurement transducer array mutual radiation impedance according to claim 8 is it is characterised in that described second Processing unit adopts equation below calculating mutual radiation resistance to be measured and measurement, and mutually radiation is anti-：

Measure mutual radiation resistance：

$r_{u,v}=\frac{1}{Q}\underset{q=1}{\overset{Q}{\Σ}}{r}_{u,v}^{\left(q\right)}$

Measurement mutually radiates anti-：

$x_{u,v}=\frac{1}{Q}\underset{q=1}{\overset{Q}{\Σ}}{x}_{u,v}^{\left(q\right)}$

Wherein, Q is the quantity laying a little, and any one during q lays a little for Q lays a little,Mutual spoke for first transducer u Penetrate resistance,Mutual radiation for first transducer u resists.