CN111707354B - Cylindrical shell sound field step-by-step combined reconstruction method based on plane test - Google Patents
Cylindrical shell sound field step-by-step combined reconstruction method based on plane test Download PDFInfo
- Publication number
- CN111707354B CN111707354B CN202010479190.5A CN202010479190A CN111707354B CN 111707354 B CN111707354 B CN 111707354B CN 202010479190 A CN202010479190 A CN 202010479190A CN 111707354 B CN111707354 B CN 111707354B
- Authority
- CN
- China
- Prior art keywords
- reconstruction
- plane
- sound source
- optimal
- cylindrical shell
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
- 238000000034 method Methods 0.000 title claims abstract description 72
- 238000012360 testing method Methods 0.000 title claims abstract description 43
- 238000006243 chemical reaction Methods 0.000 claims abstract description 59
- 230000005428 wave function Effects 0.000 claims abstract description 33
- 238000001093 holography Methods 0.000 claims abstract description 32
- 239000011159 matrix material Substances 0.000 claims description 18
- 238000012546 transfer Methods 0.000 claims description 12
- 238000002790 cross-validation Methods 0.000 claims description 2
- 238000007796 conventional method Methods 0.000 description 5
- 238000010586 diagram Methods 0.000 description 4
- 230000000694 effects Effects 0.000 description 2
- 238000012886 linear function Methods 0.000 description 2
- 230000005855 radiation Effects 0.000 description 2
- 238000001228 spectrum Methods 0.000 description 2
- 230000007704 transition Effects 0.000 description 2
- 235000015842 Hesperis Nutrition 0.000 description 1
- 235000012633 Iberis amara Nutrition 0.000 description 1
- 230000004323 axial length Effects 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000004364 calculation method Methods 0.000 description 1
- 238000000354 decomposition reaction Methods 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 238000012545 processing Methods 0.000 description 1
- 230000000644 propagated effect Effects 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 238000005070 sampling Methods 0.000 description 1
- 238000010187 selection method Methods 0.000 description 1
- 238000012795 verification Methods 0.000 description 1
Images
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01H—MEASUREMENT OF MECHANICAL VIBRATIONS OR ULTRASONIC, SONIC OR INFRASONIC WAVES
- G01H17/00—Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves, not provided for in the preceding groups
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Holo Graphy (AREA)
- Investigating Or Analyzing Materials By The Use Of Ultrasonic Waves (AREA)
- Measurement Of Mechanical Vibrations Or Ultrasonic Waves (AREA)
Abstract
The invention discloses a cylindrical shell sound field step-by-step combined reconstruction method based on plane testing, which comprises the steps of establishing an optimal middle conversion surface conformal with a cylindrical shell sound source to be tested, reasonably selecting a conformal conversion surface with a plane wave function and the minimum total reconstruction error on the basis of an optimal near-field acoustic holography statistic theory, converting plane testing sound pressure data into a cylindrical conformal conversion surface by utilizing the optimal plane near-field acoustic holography statistic, obtaining the cylindrical sound source sound pressure by utilizing the conversion surface sound pressure by utilizing the optimal cylindrical near-field acoustic holography statistic, combining the characteristics that the holographic surface test requirement of the plane wave function is simpler and the cylindrical shell sound field reconstruction precision of the cylindrical shell structure is higher, breaking through the limitation that the holographic surface and the sound source surface are required to be conformal in the traditional method so as to cause data acquisition difficulty, realizing high-precision reconstruction of the cylindrical shell structure, improving the reconstruction precision of the cylindrical shell structure, the problem that the holographic surface conformal with the shell structure is difficult to arrange in actual test is solved.
Description
Technical Field
The invention belongs to the field of mechanical structure acoustic radiation signal processing, and particularly relates to a step-by-step combination reconstruction method for a cylindrical shell sound field based on plane testing.
Background
High-end equipment generally has extremely high requirements on equipment vibration and noise, wherein a cylindrical shell structure is extremely common in large-scale high-end equipment, and high-precision equipment such as airplanes, rockets, underwater vehicles and the like take the cylindrical shell structure as a main body. The primary condition of vibration and noise reduction of cylindrical shell structure equipment is to accurately acquire a mechanical structure radiation sound field. Statistical optimal near-field acoustic holography (SONAH) is a typical method for obtaining a sound field of a sound source, especially for a large mechanical structure, a holographic surface with a small test aperture can be used for performing sound field test, and then a corresponding algorithm is used for realizing sound field reconstruction of the large mechanical structure, so that sound field information which can be used for vibration and noise reduction analysis is obtained.
However, current statistically optimal near-field acoustic holography typically employs a holographic surface that conforms to the shape of the acoustic source surface being measured for data testing. Aiming at large cylindrical shell structure equipment, the requirement that the traditional statistic optimal near field acoustic holography needs a cylindrical holographic surface to wrap the sound source to be measured and the coaxiality of the two needs to be ensured is met. In actual test, the coaxiality and the conformity of the holographic surface and the sound source surface are difficult to guarantee, and therefore large test errors can be generated. In the conventional reconstruction method, the accuracy of reconstructing the cylindrical sound source by using a single plane wave function method is low, the requirement of the single cylindrical wave function method on strict conformity of a holographic surface is extremely high, accurate holographic surface information is difficult to obtain in actual application, and an accurate sound source sound field cannot be reconstructed.
Disclosure of Invention
The invention aims to provide a stepped combination reconstruction method for a sound field of a cylindrical shell based on plane testing, which aims to solve the problem of insufficient reconstruction precision of the sound field caused by a testing method in the practical application of the existing statistical optimal near-field acoustic holography.
In order to achieve the purpose, the invention adopts the following technical scheme:
a cylindrical shell sound field step-by-step combined reconstruction method based on plane testing comprises the following steps:
step 1), establishing an optimal middle conversion surface conformal with a cylindrical shell sound source to be detected;
step 2), based on the plane test sound field information, utilizing statistical optimal plane near-field acoustic holography to obtain sound pressure information of the middle conversion surface; and according to the sound pressure information of the middle conversion surface, solving a sound source sound field by utilizing the statistical optimal cylindrical surface near-field acoustic holography, and finishing sound source sound field reconstruction.
Further, the direction of each point of the plane holographic surface, which is vertical to the plane holographic surface, is taken as the reconstruction direction of each point, the optimal near-field acoustic holographic reconstruction sound field is counted, and the position of the middle conversion surface when the middle conversion surface is intersected with the plane holographic surface is taken as the optimal middle conversion surface, namely the optimal middle conversion surface
Where zh represents the position of the plane hologram surface from the center of the sound source in the direction of the circular cross section of the sound source, and r represents the radius of the circular cross section of the sound source.
Furthermore, the sound pressure at any point in the unidirectional free space can be expressed as infinite multi-order superposition of unit plane waves generated from the sound source surface and transmitted to the sound source surface, so that the statistically optimal near-field acoustic holography reconstruction sound field is realized.
Furthermore, the cylinder conversion surface is selected to meet the requirement that the total reconstruction distance of each point is minimum, and the optimal middle conversion surface which can minimize the total error of one-time reconstruction can be obtained.
Further, the least square method obtains the position of the middle conversion surface which enables the reconstruction distance of each point to be the minimum overall, and therefore the position of the best middle conversion surface which enables the reconstruction overall error to be the minimum and conforms to the sound source of the cylindrical shell is obtained.
Further, the least square method is that the optimal function is matched by using the error square sum minimum solving data between data, the axial direction of the column sound source is defined to be parallel to the x-axis direction of the rectangular coordinate system, the center of the sound source in the projection of the circular section is the original point, the projection straight line of the plane holographic surface is parallel to the z-axis, and then the solving of the least square method is that:
where yh represents the distance between the holographic surface of the cross section plane of the column sound source and the center of the sound source, r represents the radius of the conformal conversion surface, and ziAnd the coordinate of each array point in the z direction of the plane holographic surface of the cross section of the columnar sound source is represented.
Furthermore, in the solving process of the statistical optimal near-field acoustic holography, small singular value parts sensitive to noise in the wave function transfer matrix are directly truncated according to set truncation parameters.
Further, 4% of the contribution lower than the total singular value is selected as the set truncation parameter.
Further, in the solving process of the statistical optimal near-field acoustic holography, for a large singular value part insensitive to noise in a wave function transfer matrix, a Tikhonov regularization method is adopted to correct a singular value.
Further, a generalized cross validation method is adopted to obtain the regularization parameters of the Tikhonov regularization method.
Compared with the prior art, the invention has the following beneficial technical effects:
the invention discloses a cylindrical shell sound field step-by-step combined reconstruction method based on plane testing, which comprises the steps of establishing an optimal middle conversion surface conformal with a cylindrical shell sound source to be tested, converting plane information to the optimal middle conversion surface conformal with the sound source by utilizing statistical optimal plane near-field acoustic holography with lower requirements on the position and the shape of a holographic surface based on plane testing information, and reconstructing the information of the conformal conversion surface by utilizing the statistical optimal cylindrical surface near-field acoustic holography, so that the reconstruction precision of the cylindrical shell structure is improved, and the problem that the holographic surface conformal with the shell structure is difficult to arrange in actual testing is solved.
Furthermore, on the basis of the theory of the optimal near-field acoustic holography of statistics, a conformal conversion surface with the minimum total reconstruction error of the plane wave function once reconstruction is reasonably selected, the optimal plane near-field acoustic holography of statistics is utilized to convert the plane test sound pressure data to the cylindrical conformal conversion surface, the optimal cylindrical near-field acoustic holography of statistics is utilized to obtain the cylindrical sound source sound pressure by utilizing the conversion surface sound pressure, the characteristics that the plane wave function is simple in holographic surface test requirement and the cylindrical wave function is higher in reconstruction precision of the cylindrical shell structure sound field are combined, the limitation that the holographic surface and the sound source surface are required to be conformal in the traditional method, so that the data acquisition is difficult is broken through, and the cylindrical shell structure sound field is reconstructed with.
Further, the reconstruction characteristic that the reconstruction error of the optimal plane near-field acoustic holography and the reconstruction distance form a linear function relationship under a small reconstruction distance is reasonably analyzed and counted, and the position with the minimum total reconstruction distance is selected by using a least square method, so that the position of the conversion surface with the minimum total reconstruction error is selected.
Further, a method of combining TSVD and Tikhonov regularization is adopted to limit the influence of the test error on the sound pressure conversion and the influence of the conversion reconstruction error on the sound source reconstruction error; by adopting the combined limiting method of the test error and the accumulated error, the influence of strong input noise is reduced, the large singular value parameter in the wave function transfer matrix is corrected, and the accuracy and the stability of the transfer matrix are improved, so that the accuracy of the sound field reconstruction of the cylindrical sound source is improved.
Drawings
FIG. 1 is a schematic structural diagram of a holographic surface, an intermediate conversion surface and a reconstruction surface in an embodiment of the present invention.
FIG. 2 is a graph of the total reconstructed relative error for points down-converted to a cylindrical conformal conversion surface at different conversion surface radii in an embodiment of the present invention.
Fig. 3 is a surface theoretical sound pressure diagram of a cylindrical shell sound source in an embodiment of the invention.
Fig. 4 is a graph of sound pressure on the surface of a cylindrical shell sound source reconstructed by a single plane wave function in a conventional method.
Fig. 5 is a surface sound pressure diagram of a cylindrical shell sound source reconstructed by using a single cylindrical surface wave function in a conventional method.
Fig. 6 is a sound pressure diagram of the surface of a reconstructed cylindrical shell sound source in an embodiment of the invention.
FIG. 7 is a graph of the difference in frequency of the total error of the present invention compared to the conventional reconstruction method.
FIG. 8 is a graph of the difference in noise in the overall error reconstructed by the present invention versus the prior regularization method; fig. 8(a) shows the reconstruction result by the method of the present invention, fig. 8(b) shows the reconstruction result by the TSVD method alone, fig. 8(c) shows the reconstruction result by the Tikhonov regularization method alone, and fig. 8(d) shows the direct reconstruction result.
Detailed Description
The invention is described in further detail below with reference to the accompanying drawings:
a cylindrical shell sound field step-by-step combined reconstruction method based on plane testing comprises the following steps:
step 1), establishing an optimal middle conversion surface conformal with a cylindrical shell sound source to be detected;
the method comprises the following steps of establishing an optimal middle conversion surface conformal with a cylindrical shell sound source:
taking the direction of each point of the plane holographic surface, which is vertical to the plane holographic surface, as the reconstruction direction of each point, counting an optimal near-field acoustic holographic reconstruction sound field, wherein the larger the reconstruction distance is, the larger the reconstruction error is, if the total error of one-time reconstruction from the plane holographic surface to the middle conversion surface is to be minimum, and the total minimum reconstruction distance is to be guaranteed, selecting the position of the middle conversion surface when the middle conversion surface is intersected with the plane holographic surface as the optimal middle conversion surface, namely selecting the position of the middle conversion surface when the middle conversion
Where zh represents the position of the plane hologram surface from the center of the sound source in the direction of the circular cross section of the sound source, and r represents the radius of the circular cross section of the sound source.
Based on the sound pressure at any point in the unidirectional free space, the sound pressure can be expressed as infinite multi-order superposition of unit plane waves generated from a sound source surface and transmitted to the sound source surface, and the statistically optimal near-field acoustic holography reconstruction sound field is realized.
The sound pressure at any point in the unidirectional free space is represented by discretization as follows:
wherein s represents a spatial coordinate; z is a radical ofSIndicating the position of the sound source generating surface,
represents a weighting coefficient, P (k)n) A spatial Fourier spectrum, also known as a spatial wavenumber spectrum, representing the source-plane sound pressure; phi (k)nAnd s) represents a plane wave function;
wherein, F (k)z) -weighting function of the amplitude of the elementary plane waves, typically taking F (k)z)＝1。
For a unit plane wave function phi (k) at an arbitrary point in spacenR) and plane holographic surface element plane wave function phi (k)n,rHj) Are plane waves generated by the sound source plane and propagated to the corresponding positions, so that the unit plane wave function phi (k)nR) plane wave function phi (k) of plane holographic surface unitn,rHj) Linear representation:
wherein, cj(r) is a weight coefficient of each order unit plane wave at each measurement point.
Substituting formula (3) into (1) can obtain:
wherein p isH＝[p(rH1),p(rH2),…,p(rHM)]TMeasuring the sound pressure data column vector for the holographic surface, c (r) [ c ]1(r),c2(r),…,cM(r)]TIs a weight coefficient column vector.
The formula (4) shows that the sound field at any position in the unidirectional free space can be obtained by linearly superposing the holographic surface test sound pressure, and the group of weight coefficients are also suitable for each order of unit plane waves in the sound field, so that the weight coefficients can be solved by defining the weight coefficients in the formula (3), and the reconstructed surface sound pressure is further solved.
Rewriting equation (3) to a matrix form:
a(r)≈Ac(r) (5)
wherein,
the wave matrix a (r) and the wave function transfer matrix A of the target unit cannot be in an infinite range, and k is generally takenx∈[-π/Δx,π/Δx]And k isy∈[-π/Δy,π/Δy]In which Δx,ΔyRespectively representing spatial domain sampling intervals; the highest order number of the plane wave is also limited in range, and is generally equal to (2N)x-1)(2Ny-1), wherein Nx,NyRepresenting the number of sample points in the x, y directions, respectively, typically at kx,kyThe value range is sampled at equal intervals. Equation (6) can be written as:
the sound pressure at any point r of the spatial sound field can be obtained by substituting formula (7) for formula (5) to obtain a weight coefficient matrix, and substituting formula (4) with the weight coefficient in the obtained weight coefficient matrix, namely by using the holographic surface test sound pressure data.
The statistical optimal plane near-field acoustic holography has the advantage that a holographic surface is easy to build, and in a small reconstruction distance range, a linear function relationship between a reconstruction error and a reconstruction distance can be known through verification. Based on the functional relation, the position of the middle conversion surface which enables the total reconstruction distance of each point to be minimum is obtained by a least square method, and therefore the position of the optimal middle conversion surface which enables the total reconstruction error to be minimum in one step and is conformal with the cylindrical shell sound source is obtained. The least square method is a method for solving a data matching optimum function by using the minimum sum of squared errors among data; obtaining the optimal solution with the minimum sum of squared errors:
defining the axial direction of a column sound source to be parallel to the x-axis direction of a rectangular coordinate system, taking the center of the sound source in the projection of the circular section as an original point, and taking the projection straight line of the plane holographic surface to be parallel to the z-axis, and solving by a least square method to be:
where yh represents the distance between the holographic surface of the cross section plane of the column sound source and the center of the sound source, r represents the radius of the conformal conversion surface, and ziAnd the coordinate of each array point in the z direction of the plane holographic surface of the cross section of the columnar sound source is represented.
Step 2), based on the plane test sound field information, utilizing statistical optimal plane near-field acoustic holography to obtain sound pressure information of an optimal middle conversion surface; and according to the sound pressure information of the optimal middle conversion surface, utilizing the statistical optimal cylindrical surface near-field acoustic holography to obtain a sound source sound field, and finishing sound source sound field reconstruction.
The expression of the unit cylindrical wave is:
wherein,
the first type of Hankel function with order n is shown.
The corresponding target unit wave matrix a (r) and the wave function transfer matrix a are expressed as:
for a cylindrical shell sound source, the reconstruction precision can be effectively improved by utilizing a cylindrical surface wave function. However, as can be seen from the formula (9), the unit cylindrical wave contains the first type of Hankel function, and the stability of the function is poor, so that the requirement of the statistical optimal cylindrical near-field acoustic holography on the conformality of the holographic surface and the sound source is high. In the step-by-step combination method, in the step (2), based on the plane test information, the statistical optimal plane near-field acoustic holography with lower requirements on the position and the shape of the holographic surface is utilized to convert the plane information to the optimal middle conversion surface which is conformal with a sound source, and then the statistical optimal cylinder near-field acoustic holography is utilized to reconstruct the information of the conformal conversion surface, so that the reconstruction precision of the cylindrical shell structure is improved, and the problem that the holographic surface which is conformal with the shell structure is difficult to arrange in the actual test is solved.
Finally, the wave function transfer matrix A needs to be inverted in the solving process of the statistical optimal near-field acoustic holography, the wave function transfer matrix has ill-conditioned property, and the influence of input errors can be amplified in the inverting process. Therefore, the influence of strong input noise is reduced by adopting a multi-method combined error limiting method, namely a test error and accumulated error combined limiting method; for small singular value parts sensitive to noise in a wave function transfer matrix, selecting appropriate truncation parameters (generally selecting parameters lower than 4% of total singular value contribution), and directly truncating to reduce the influence of input high noise on reconstruction accuracy; for a large singular value part insensitive to noise in the wave function transfer matrix, correcting the singular value by adopting a Tikhonov regularization method, improving the stability of the wave function matrix, reducing the influence of input errors and calculation randomness, and improving the reconstruction precision of a sound field. And (3) limiting the influence of the test error on the sound pressure conversion and the influence of the conversion reconstruction error on the sound source reconstruction error in the step (2) by adopting a method combining TSVD (Truncated Singular Value Decomposition) and Tikhonov regularization.
As shown in fig. 1, in order to verify the effectiveness of the sound field reconstruction of the cylindrical shell structure equipment of the present invention, a cylindrical shell with an axial length of 3.0m and a radius of 0.3m is used as a research object. And selecting a position where the axial center line of the holographic surface is parallel to the axis of the shell and the plane formed by the two lines is vertical to the plane where the holographic surface is located for testing, wherein the axial center line of the holographic surface is 0.5m away from the axis of the shell structure. 21 sensors are arranged in the axial direction, the interval is 0.075m, 13 sensors are arranged in the radial direction, and the radial range of the whole cylindrical shell is covered at equal intervals so as to acquire efficient holographic sound pressure data. The reconstruction surface is located at 0.01m of the surface of the sound source of the cylindrical shell, the axial direction of each point position is the same as the corresponding point position of the holographic surface, and the cross section is the same as the corresponding circumferential angle of each point of the holographic surface. The sound source arrangement, the number of sensors and the spacing of the cylindrical shell are only selected to illustrate the characteristics of the present invention, but are not specific.
As shown in FIG. 2, the radius of the cylindrical conformal transition surface is
Namely (0.50,0.58), the statistical optimal plane near-field acoustic holography is utilized to convert the plane test sound pressure to the total reconstruction relative error of each point of the cylindrical conformal conversion surface, and the total error is the minimum when the radius of the total reconstruction relative error is 0.52m, and the error is extremely small within the range of +/-0.01 m; the radius of the conformal transition surface obtained by the least squares method was 0.5265 m. The optimal conversion surface position selection method can realize the minimum total reconstruction error and greatly keep the validity of holographic surface test data.
20dB noise is added to the sound pressure of the holographic surface test. Fig. 3 shows theoretical sound pressure of a reconstruction surface of a cylindrical shell structure, and fig. 4, 5, and 6 show surface sound pressure of a cylindrical shell sound source reconstructed by using a single plane wave function in a conventional method, surface sound pressure of a cylindrical shell sound source reconstructed by using a single cylindrical wave function in a conventional method, and surface sound pressure of a cylindrical shell sound source reconstructed by the present invention, respectively. Compared with the traditional method, the method has better goodness of fit on the sound pressure value by direct reconstruction.
Fig. 7 shows a comparison of the reconstruction effect of the method of the present invention and the conventional method at different frequencies. It can be seen that the invention has better reconstruction precision in different low frequency ranges, which is improved by 10-20% compared with the reconstruction method using a single plane wave function and improved by 2-10% compared with the reconstruction method using a single cylindrical wave function. Especially in the frequency range above 300Hz, the reconstruction precision is obviously improved.
Fig. 8 shows a comparison between the error-limiting method of the present invention and the conventional single error-limiting method, where fig. 8(a) shows the reconstruction result of the method of the present invention, fig. 8(b) shows the reconstruction result using only the TSVD method, fig. 8(c) shows the reconstruction result using only the Tikhonov regularization method, and fig. 8(d) shows the direct reconstruction result. It can be seen that in different noise ranges, the error limiting method of the present invention can better ensure the reconstruction accuracy. Compared with the optimal method of a single method, the reconstruction precision can be improved by about 10%.
The method utilizes the plane test information to construct the cylindrical conformal conversion surface, combines the characteristics of the plane wave function and the cylindrical wave function, reconstructs the sound source sound field of the cylindrical shell structure step by step, and utilizes the combination error limiting method to break through the problem that the holographic surface information conformal with the cylindrical shell is difficult to obtain in the actual test.
Claims (5)
1. A cylindrical shell sound field step-by-step combined reconstruction method based on plane testing is characterized by comprising the following steps:
step 1), establishing an optimal middle conversion surface conformal with a cylindrical shell sound source to be detected; taking the direction of each point of the plane holographic surface perpendicular to the plane holographic surface as the reconstruction direction of each point, counting the optimal near-field acoustic holographic reconstruction sound field, and taking the position of the middle conversion surface when the middle conversion surface is intersected with the plane holographic surface as the optimal middle conversion surface, namely
Wherein zh represents the position of the plane holographic surface from the center of the sound source in the direction of the circular section of the sound source, and r represents the radius of the circular section of the sound source;
based on the statistical optimal plane near-field acoustic holography small-distance reconstruction characteristic, selecting a cylindrical conversion surface to meet the requirement that the overall reconstruction distance of each point is minimum, and obtaining an optimal middle conversion surface which enables the overall error of primary reconstruction to be minimum;
the position of a middle conversion surface which enables the total reconstruction distance of each point to be minimum is obtained by a least square method, and therefore the position of the optimal middle conversion surface which enables the total reconstruction error of one step to be minimum and is conformal with the sound source of the cylindrical shell is obtained;
the least square method is that the optimal function is matched by utilizing the error square sum minimum solving data among data, the axial direction of a column sound source is defined to be parallel to the x-axis direction of a rectangular coordinate system, the center of the sound source in the projection of a circular section is the original point, the projection straight line of a plane holographic surface is parallel to the z-axis, and then the least square method is used for solving:
where yh represents the distance between the holographic surface of the cross section plane of the column sound source and the center of the sound source, r represents the radius of the conformal conversion surface, and ziThe coordinate of each array point in the z direction of the plane holographic surface of the cross section of the columnar sound source is represented;
step 2), based on the plane test sound field information, utilizing statistical optimal plane near-field acoustic holography to obtain sound pressure information of the middle conversion surface; and according to the sound pressure information of the middle conversion surface, solving a sound source sound field by utilizing the statistical optimal cylindrical surface near-field acoustic holography, and finishing sound source sound field reconstruction.
2. The method for reconstructing the cylindrical shell sound field step-by-step combination based on the plane test as claimed in claim 1, wherein in the solving process of the statistical optimal near-field acoustic holography, the small singular value part sensitive to the noise in the wave function transfer matrix is directly truncated according to the set truncation parameters.
3. The method for reconstructing the sound field of the cylindrical shell based on the planar test in the step-by-step combination manner as claimed in claim 2, wherein the truncation parameters are selected to be 4% of the total singular value contribution.
4. The method for reconstructing the cylindrical shell sound field step-by-step combination based on the plane test as claimed in claim 1, wherein in the solving process of the statistical optimal near-field acoustic holography, for a large singular value part insensitive to noise in a wave function transfer matrix, a Tikhonov regularization method is adopted to correct singular values.
5. The cylindrical shell sound field step-by-step combined reconstruction method based on the plane test is characterized in that regularization parameters of a Tikhonov regularization method are obtained by adopting a generalized cross validation method.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202010479190.5A CN111707354B (en) | 2020-05-29 | 2020-05-29 | Cylindrical shell sound field step-by-step combined reconstruction method based on plane test |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202010479190.5A CN111707354B (en) | 2020-05-29 | 2020-05-29 | Cylindrical shell sound field step-by-step combined reconstruction method based on plane test |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN111707354A CN111707354A (en) | 2020-09-25 |
| CN111707354B true CN111707354B (en) | 2021-07-13 |
Family
ID=72539062
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202010479190.5A Active CN111707354B (en) | 2020-05-29 | 2020-05-29 | Cylindrical shell sound field step-by-step combined reconstruction method based on plane test |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN111707354B (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN114252148B (en) * | 2021-12-31 | 2022-12-06 | 中国人民解放军海军工程大学 | Sound field reconstruction method based on prolate ellipsoid wave superposition |
Citations (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101403634A (en) * | 2008-10-20 | 2009-04-08 | 合肥工业大学 | Method for sound field separation by pressure velocity method |
| CN101515033A (en) * | 2009-04-03 | 2009-08-26 | 合肥工业大学 | Multilayer stereoscopic grid array for recognizing noise source in a beam shaping method |
| CN101865789A (en) * | 2010-06-30 | 2010-10-20 | 上海交通大学 | Fault detecting device of near field acoustic holography sound image mode identification and detecting method thereof |
| US8316713B2 (en) * | 2003-08-12 | 2012-11-27 | Northwestern University | Scanning near field ultrasound holography |
| CN106096184A (en) * | 2016-06-24 | 2016-11-09 | 中国电力科学研究院 | A kind of noise calculation method and system of transformator multiple spot Source Model based on sound intensity technique |
| CN107566969A (en) * | 2017-07-20 | 2018-01-09 | 西北工业大学 | A kind of enclosed environment internal low-frequency Reconstruction of Sound Field method |
| WO2019166450A1 (en) * | 2018-02-27 | 2019-09-06 | Distran Ag | Estimation of the sensitivity of a detector device comprising a transducer array |
Family Cites Families (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR100621205B1 (en) * | 2004-11-10 | 2006-09-13 | 한국해양연구원 | Acoustic holography measuring method using two plane measurements |
| JP5220922B2 (en) * | 2008-07-08 | 2013-06-26 | ブリュエル アンド ケアー サウンド アンド ヴァイブレーション メジャーメント エー／エス | Sound field reconstruction |
| CN101344428B (en) * | 2008-07-22 | 2010-09-29 | 鸿远亚太科技（北京）有限公司 | Total space transformation method of sound field |
| CN101556187B (en) * | 2009-05-07 | 2012-06-27 | 广东美的电器股份有限公司 | Statistically optimal near-field acoustical holography used for visual recognition of air-conditioner noise sources and operation method thereof |
| CN109211399B (en) * | 2018-10-17 | 2020-07-28 | 西安交通大学 | Conical sound source statistic near-field acoustic holography method |
| CN109764956B (en) * | 2018-12-27 | 2020-03-31 | 西安交通大学 | Near-field acoustic holography method based on combinatorial optimization regularization method |
-
2020
- 2020-05-29 CN CN202010479190.5A patent/CN111707354B/en active Active
Patent Citations (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US8316713B2 (en) * | 2003-08-12 | 2012-11-27 | Northwestern University | Scanning near field ultrasound holography |
| CN101403634A (en) * | 2008-10-20 | 2009-04-08 | 合肥工业大学 | Method for sound field separation by pressure velocity method |
| CN101515033A (en) * | 2009-04-03 | 2009-08-26 | 合肥工业大学 | Multilayer stereoscopic grid array for recognizing noise source in a beam shaping method |
| CN101865789A (en) * | 2010-06-30 | 2010-10-20 | 上海交通大学 | Fault detecting device of near field acoustic holography sound image mode identification and detecting method thereof |
| CN106096184A (en) * | 2016-06-24 | 2016-11-09 | 中国电力科学研究院 | A kind of noise calculation method and system of transformator multiple spot Source Model based on sound intensity technique |
| CN107566969A (en) * | 2017-07-20 | 2018-01-09 | 西北工业大学 | A kind of enclosed environment internal low-frequency Reconstruction of Sound Field method |
| WO2019166450A1 (en) * | 2018-02-27 | 2019-09-06 | Distran Ag | Estimation of the sensitivity of a detector device comprising a transducer array |
Also Published As
| Publication number | Publication date |
|---|---|
| CN111707354A (en) | 2020-09-25 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Dai et al. | A sparse representation method for DOA estimation with unknown mutual coupling | |
| CN107247251B (en) | Three-dimensional sound source positioning method based on compressed sensing | |
| CN109270486B (en) | Two-dimensional direction finding method for frequency-varying signal by adopting rotation of two sensors | |
| CN107478325B (en) | Free field reduction method of unsteady planar sound source | |
| CN111707354B (en) | Cylindrical shell sound field step-by-step combined reconstruction method based on plane test | |
| CN109764956B (en) | Near-field acoustic holography method based on combinatorial optimization regularization method | |
| CN111707353B (en) | Near-field acoustic holography technology-based revolution surface sound field reconstruction method | |
| CN109870669A (en) | How soon a kind of two dimension claps mesh free compression Wave beam forming identification of sound source method | |
| CN106908754B (en) | L-type acoustic vector-sensor array column ESPRIT decorrelation LMS method for parameter estimation | |
| Arnold et al. | A directional acoustic array using silicon micromachined piezoresistive microphones | |
| Ping et al. | Compressive spherical beamforming for acoustic source identification | |
| Chen et al. | Generalized parallel coprime array for two-dimensional DOA estimation: A perspective from maximizing degree of freedom | |
| CN114252148B (en) | Sound field reconstruction method based on prolate ellipsoid wave superposition | |
| CN115267673B (en) | Sparse sound source imaging method and system considering reconstruction grid offset | |
| CN107064862B (en) | Electromagnetic vector sensor linear array decorrelation LMS MUSIC method for parameter estimation | |
| Chen et al. | A novel method to design steerable differential beamformer using linear acoustics vector sensor array | |
| CN113721184A (en) | Near-field signal source positioning method based on improved MUSIC algorithm | |
| Xu et al. | An improved algorithm for noise source localization based on equivalent source method | |
| Liu et al. | Pattern synthesis of a practical conformal hydrophone array via second-order cone programming | |
| Deboy | Acoustic centering and rotational tracking in surrounding spherical microphone arrays | |
| CN113504407B (en) | Spherical sensing device capable of being used for detecting sound intensity of vicinity of ultra-high voltage transmission line and implementation method | |
| Samarawickrama et al. | Super-resolution acoustic imaging using non-uniform spatial dictionaries | |
| CN115015633B (en) | Frequency estimation method for harmonic wave and inter-harmonic wave in power system | |
| CN107702789A (en) | Method for reconstructing transient vibration velocity of structure surface by particle vibration velocity measurement | |
| Tian et al. | DOA Estimation Based on Logistic Function for CD Sources in Impulsive Noise |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |