Pub Date : 2017-03-16DOI: 10.1142/S0218396X17500217
Qianchu Zhang, Xinyi Guo, Li Ma
The parabolic equation approximation method is applied to build the model of the vertical spatial correlation and vertical directivity characteristics of ocean ambient noise under varying environment. The random noise sources which have the same intensity are represented by uncorrelated monopoles distributed uniformly over an infinite plane located a certain depth below the sea surface. The spatial properties of noise field are analyzed under the varying ocean environments which are the slope, seamount and varying sound speed profiles. According to the results of simulation, the varying environment changes the propagating paths of noise, so the spatial properties (correlation and directionality) of the noise field change. When the remote noise intensity increases, the noise intensity in low grazing angle and the vertical correlations of nose field become stronger. At last, the experiment’s results support the results of simulation.
{"title":"The Research of the Characteristics of the Ocean Ambient Noise Under Varying Environment","authors":"Qianchu Zhang, Xinyi Guo, Li Ma","doi":"10.1142/S0218396X17500217","DOIUrl":"https://doi.org/10.1142/S0218396X17500217","url":null,"abstract":"The parabolic equation approximation method is applied to build the model of the vertical spatial correlation and vertical directivity characteristics of ocean ambient noise under varying environment. The random noise sources which have the same intensity are represented by uncorrelated monopoles distributed uniformly over an infinite plane located a certain depth below the sea surface. The spatial properties of noise field are analyzed under the varying ocean environments which are the slope, seamount and varying sound speed profiles. According to the results of simulation, the varying environment changes the propagating paths of noise, so the spatial properties (correlation and directionality) of the noise field change. When the remote noise intensity increases, the noise intensity in low grazing angle and the vertical correlations of nose field become stronger. At last, the experiment’s results support the results of simulation.","PeriodicalId":54860,"journal":{"name":"Journal of Computational Acoustics","volume":"25 1","pages":"1750021"},"PeriodicalIF":0.0,"publicationDate":"2017-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0218396X17500217","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42748157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-03-16DOI: 10.1142/S0218396X17500205
Meijuan Yao, Licheng Lu, Li Ma, Shengming Guo
A new method of target localization based on two broadband guide sources is presented, using which only few environment information need to be known in range-independent shallow water environment. This method, based on warping trasnsform, calculates the replica field by calculating the position information and phase information of the field, respectively. Also, compared with the traditional Matched Field Processing localization method, it can avoid the dependence on environment parameters and the field model. Accurate localization results are obtained when the Signal-Noise ratio is higher than 15dB and the range of the target is less than 20km.
{"title":"Target Localization Based on Two Broadband Guide Sources","authors":"Meijuan Yao, Licheng Lu, Li Ma, Shengming Guo","doi":"10.1142/S0218396X17500205","DOIUrl":"https://doi.org/10.1142/S0218396X17500205","url":null,"abstract":"A new method of target localization based on two broadband guide sources is presented, using which only few environment information need to be known in range-independent shallow water environment. This method, based on warping trasnsform, calculates the replica field by calculating the position information and phase information of the field, respectively. Also, compared with the traditional Matched Field Processing localization method, it can avoid the dependence on environment parameters and the field model. Accurate localization results are obtained when the Signal-Noise ratio is higher than 15dB and the range of the target is less than 20km.","PeriodicalId":54860,"journal":{"name":"Journal of Computational Acoustics","volume":"25 1","pages":"1750020"},"PeriodicalIF":0.0,"publicationDate":"2017-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0218396X17500205","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45387498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-01-25DOI: 10.1142/S0218396X17500114
Z. D. Zhao, E. Shang, D. Rouseff
The acoustical properties of the sea-bottom can be described by geoacoustic (GA) parameters or by reflective parameters: P (phase shift parameter) and Q (absorption parameter). Both in GA space and in (P, Q) space, the parameters are difficult to measure and are instead estimated by inversion methods such as matched field inversion (MFI). In GA space, an assumed model is needed to mount the GA parameters for inverting (model dependent), while the reflective parameters (P, Q) are model-free. In this paper, the efficiency and quality of matched field processing (MFP) in GA space as well as in (P,Q) space are compared and the potential possibility of bottom sound-speed-profile estimation is discussed.
{"title":"The Comparison of Bottom Parameter Inversion in Geoacoustic Space and in (P,Q) Space","authors":"Z. D. Zhao, E. Shang, D. Rouseff","doi":"10.1142/S0218396X17500114","DOIUrl":"https://doi.org/10.1142/S0218396X17500114","url":null,"abstract":"The acoustical properties of the sea-bottom can be described by geoacoustic (GA) parameters or by reflective parameters: P (phase shift parameter) and Q (absorption parameter). Both in GA space and in (P, Q) space, the parameters are difficult to measure and are instead estimated by inversion methods such as matched field inversion (MFI). In GA space, an assumed model is needed to mount the GA parameters for inverting (model dependent), while the reflective parameters (P, Q) are model-free. In this paper, the efficiency and quality of matched field processing (MFP) in GA space as well as in (P,Q) space are compared and the potential possibility of bottom sound-speed-profile estimation is discussed.","PeriodicalId":54860,"journal":{"name":"Journal of Computational Acoustics","volume":"25 1","pages":"1750011"},"PeriodicalIF":0.0,"publicationDate":"2017-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0218396X17500114","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45090150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-01-25DOI: 10.1142/S0218396X17500151
M. Taroudakis, Costas Smaragdakis, N. Chapman
A method for denoising underwater acoustic signals used in applications of acoustical oceanography is presented. The method has been introduced for imaging denoising and has been modified to be applied with acoustic signals. The method keeps the energy significant part of the raw signal and reduces the effects of noise by comparing overlapping signal windows and keeping components which resemble true signal energy. It is shown by means of characteristic experiments in connection with a statistical signal characterization scheme based on wavelet transform, that using the statistical features of the wavelet sub-band coefficients of the denoised signal, tomography or geoacoustic inversions lead to a reliable estimation of the parameters of a marine environment.
{"title":"Denoising Underwater Acoustic Signals for Applications in Acoustical Oceanography","authors":"M. Taroudakis, Costas Smaragdakis, N. Chapman","doi":"10.1142/S0218396X17500151","DOIUrl":"https://doi.org/10.1142/S0218396X17500151","url":null,"abstract":"A method for denoising underwater acoustic signals used in applications of acoustical oceanography is presented. The method has been introduced for imaging denoising and has been modified to be applied with acoustic signals. The method keeps the energy significant part of the raw signal and reduces the effects of noise by comparing overlapping signal windows and keeping components which resemble true signal energy. It is shown by means of characteristic experiments in connection with a statistical signal characterization scheme based on wavelet transform, that using the statistical features of the wavelet sub-band coefficients of the denoised signal, tomography or geoacoustic inversions lead to a reliable estimation of the parameters of a marine environment.","PeriodicalId":54860,"journal":{"name":"Journal of Computational Acoustics","volume":"25 1","pages":"1750015"},"PeriodicalIF":0.0,"publicationDate":"2017-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0218396X17500151","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45723767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-12-01DOI: 10.1142/S0218396X16500132
M. Li, Huancai Lu
Spherical acoustic holography was utilized to reconstruct the interior sound field of an enclosed space with vibrating boundaries using an open spherical microphone array. The interior sound fields of vibrating shells, including a pulsating shell, a z-axis oriented oscillating shell, a partially vibrating shell and a point-excited vibrating shell, were reconstructed, and numerical simulations were carried out to examine the impact of reconstruction parameters, the radius of the microphone array, the number of microphones, the distribution of microphones on the array surface, the wave number, the number of basis functions used, and the radius of the reconstruction surface on the accuracy of reconstruction. In order to minimize the error of reconstruction caused by a variety of factors and uncertainties, such as the measurement noise, regularization treatments were introduced into the process of reconstructing, to suppress the divergent trends of the reconstruction error along with the increase of the wave number and the increase of the radius of the reconstruction surface. Results showed that a Tikhonov regularization method with generalized cross validation (GCV) could yield the least error of reconstruction among the investigated regularization methods.
{"title":"Reconstruction of Interior Sound Fields of Vibrating Shells with an Open Spherical Microphone Array","authors":"M. Li, Huancai Lu","doi":"10.1142/S0218396X16500132","DOIUrl":"https://doi.org/10.1142/S0218396X16500132","url":null,"abstract":"Spherical acoustic holography was utilized to reconstruct the interior sound field of an enclosed space with vibrating boundaries using an open spherical microphone array. The interior sound fields of vibrating shells, including a pulsating shell, a z-axis oriented oscillating shell, a partially vibrating shell and a point-excited vibrating shell, were reconstructed, and numerical simulations were carried out to examine the impact of reconstruction parameters, the radius of the microphone array, the number of microphones, the distribution of microphones on the array surface, the wave number, the number of basis functions used, and the radius of the reconstruction surface on the accuracy of reconstruction. In order to minimize the error of reconstruction caused by a variety of factors and uncertainties, such as the measurement noise, regularization treatments were introduced into the process of reconstructing, to suppress the divergent trends of the reconstruction error along with the increase of the wave number and the increase of the radius of the reconstruction surface. Results showed that a Tikhonov regularization method with generalized cross validation (GCV) could yield the least error of reconstruction among the investigated regularization methods.","PeriodicalId":54860,"journal":{"name":"Journal of Computational Acoustics","volume":"24 1","pages":"1650013"},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0218396X16500132","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64077814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-12-01DOI: 10.1142/S0218396X16500223
Katherine F. Woolfe, M. D. Collins, D. Calvo, W. Siegmann
The accuracy of the seismo-acoustic parabolic equation is tested for problems involving sloping fluid–solid interfaces. The fluid may correspond to the ocean or a sediment layer that only supports compressional waves. The solid may correspond to ice cover or a sediment layer that supports compressional and shear waves. The approach involves approximating the medium in terms of a series of range-independent regions, using a parabolic wave equation to propagate the field through each region, and applying single-scattering approximations to obtain transmitted fields across the vertical interfaces between regions. The accuracy of the parabolic equation method for range-dependent problems in seismo-acoustics was previously tested in the small slope limit. It is tested here for problems involving larger slopes using a finite-element model to generate reference solutions.
{"title":"Seismo-Acoustic Benchmark Problems Involving Sloping Fluid–Solid Interfaces","authors":"Katherine F. Woolfe, M. D. Collins, D. Calvo, W. Siegmann","doi":"10.1142/S0218396X16500223","DOIUrl":"https://doi.org/10.1142/S0218396X16500223","url":null,"abstract":"The accuracy of the seismo-acoustic parabolic equation is tested for problems involving sloping fluid–solid interfaces. The fluid may correspond to the ocean or a sediment layer that only supports compressional waves. The solid may correspond to ice cover or a sediment layer that supports compressional and shear waves. The approach involves approximating the medium in terms of a series of range-independent regions, using a parabolic wave equation to propagate the field through each region, and applying single-scattering approximations to obtain transmitted fields across the vertical interfaces between regions. The accuracy of the parabolic equation method for range-dependent problems in seismo-acoustics was previously tested in the small slope limit. It is tested here for problems involving larger slopes using a finite-element model to generate reference solutions.","PeriodicalId":54860,"journal":{"name":"Journal of Computational Acoustics","volume":"24 1","pages":"1650022"},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0218396X16500223","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64078065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-12-01DOI: 10.1142/S0218396X16500168
Hongyong Yan, Lei Yang, Xiang-Yang Li, Hong Liu
Finite-difference (FD) schemes have been used widely for solving wave equations in seismic exploration. However, the conventional FD schemes hardly guarantee high accuracy at both small and large wavenumbers. In this paper, we propose an optimal time-space domain FD scheme for acoustic vertical transversely isotropic (VTI) wave modeling. The optimal FD coefficients for the second-order spatial derivatives are derived by approaching the time-space domain dispersion relation of acoustic VTI wave equations with the combination of the Taylor-series expansion and the sampling interpolation. We perform numerical dispersion analyses and acoustic VTI modeling using the optimal time-space domain FD scheme. The numerical dispersion analyses show that the optimal FD scheme has smaller dispersion than the conventional FD scheme at large wavenumbers, and also preserves high accuracy at small wavenumbers. The acoustic VTI modeling examples also demonstrate that the optimal time-space domain FD scheme has greater accuracy compared with the conventional time-space domain FD scheme for the same modeling parameters.
{"title":"Acoustic VTI modeling using an optimal time-space domain finite-difference scheme","authors":"Hongyong Yan, Lei Yang, Xiang-Yang Li, Hong Liu","doi":"10.1142/S0218396X16500168","DOIUrl":"https://doi.org/10.1142/S0218396X16500168","url":null,"abstract":"Finite-difference (FD) schemes have been used widely for solving wave equations in seismic exploration. However, the conventional FD schemes hardly guarantee high accuracy at both small and large wavenumbers. In this paper, we propose an optimal time-space domain FD scheme for acoustic vertical transversely isotropic (VTI) wave modeling. The optimal FD coefficients for the second-order spatial derivatives are derived by approaching the time-space domain dispersion relation of acoustic VTI wave equations with the combination of the Taylor-series expansion and the sampling interpolation. We perform numerical dispersion analyses and acoustic VTI modeling using the optimal time-space domain FD scheme. The numerical dispersion analyses show that the optimal FD scheme has smaller dispersion than the conventional FD scheme at large wavenumbers, and also preserves high accuracy at small wavenumbers. The acoustic VTI modeling examples also demonstrate that the optimal time-space domain FD scheme has greater accuracy compared with the conventional time-space domain FD scheme for the same modeling parameters.","PeriodicalId":54860,"journal":{"name":"Journal of Computational Acoustics","volume":"24 1","pages":"1650016"},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0218396X16500168","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64078252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-12-01DOI: 10.1142/S0218396X16500181
W. Rdzanek, W. Rdzanek, K. Szemela
The Neumann axisymmetric boundary value problem is considered for a vibrating thin clamped circular plate embedded in the flat rigid screen in the outlet of the circular cylindrical cavity. It is assumed that the two pistons, one cylindrical and the other one annular/circular, are vibrating inside the cavity with the same single frequency and different initial phases. The pistons are the only sources of excitation of the fluid. The acoustic pressure difference on both sides of the plate forces its vibrations. The acoustic waves are radiated into the half-space above it. A rigorous theoretical analysis of sound radiation has been performed based on the exact solution of the problem of free vibrations of the plate. The system of three coupled partial differential equations is solved. They are the two Helmholtz equations for the cavity and for the half-space, and the equation of motion of the plate. Consequently, the acoustic pressure distribution in both spaces is presented as well as the acoustic power radiated.
{"title":"Sound Radiation of the Resonator in the Form of a Vibrating Circular Plate Embedded in the Outlet of the Circular Cylindrical Cavity","authors":"W. Rdzanek, W. Rdzanek, K. Szemela","doi":"10.1142/S0218396X16500181","DOIUrl":"https://doi.org/10.1142/S0218396X16500181","url":null,"abstract":"The Neumann axisymmetric boundary value problem is considered for a vibrating thin clamped circular plate embedded in the flat rigid screen in the outlet of the circular cylindrical cavity. It is assumed that the two pistons, one cylindrical and the other one annular/circular, are vibrating inside the cavity with the same single frequency and different initial phases. The pistons are the only sources of excitation of the fluid. The acoustic pressure difference on both sides of the plate forces its vibrations. The acoustic waves are radiated into the half-space above it. A rigorous theoretical analysis of sound radiation has been performed based on the exact solution of the problem of free vibrations of the plate. The system of three coupled partial differential equations is solved. They are the two Helmholtz equations for the cavity and for the half-space, and the equation of motion of the plate. Consequently, the acoustic pressure distribution in both spaces is presented as well as the acoustic power radiated.","PeriodicalId":54860,"journal":{"name":"Journal of Computational Acoustics","volume":"24 1","pages":"1650018"},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0218396X16500181","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64078340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-12-01DOI: 10.1142/S0218396X16500156
Hao-Guang Li, P. Ladevèze, H. Riou
In this paper, we consider the Weak Trefftz Discontinuous Galerkin (WTDG) method, which enables one to use at the same time the Finite Element Method (FEM) or Variational Theory of Complex Rays (VTCR) discretizations (polynoms and waves), for vibration problems. It has already been developed such that the FEM and the VTCR can be used in different adjacent subdomains in the same problem. Here, it is revisited and extended in order to allow one to use the two discretizations in the same subdomain, at the same time. Numerical examples illustrate the performances of such an approach.
{"title":"Hybrid Finite Element Method and Variational Theory of Complex Rays for Helmholtz Problems","authors":"Hao-Guang Li, P. Ladevèze, H. Riou","doi":"10.1142/S0218396X16500156","DOIUrl":"https://doi.org/10.1142/S0218396X16500156","url":null,"abstract":"In this paper, we consider the Weak Trefftz Discontinuous Galerkin (WTDG) method, which enables one to use at the same time the Finite Element Method (FEM) or Variational Theory of Complex Rays (VTCR) discretizations (polynoms and waves), for vibration problems. It has already been developed such that the FEM and the VTCR can be used in different adjacent subdomains in the same problem. Here, it is revisited and extended in order to allow one to use the two discretizations in the same subdomain, at the same time. Numerical examples illustrate the performances of such an approach.","PeriodicalId":54860,"journal":{"name":"Journal of Computational Acoustics","volume":"24 1","pages":"1650015"},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0218396X16500156","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64077722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-08-30DOI: 10.1142/S0218396X16500119
Weibin Li, M. Deng, Younho Cho
Second harmonic generation of ultrasonic waves propagating in unbounded media and plate-like structure has been vigorously studied for tracking material nonlinearity, however, second harmonic guided wave propagation in tube-like structures is rarely studied. Considering that second harmonics can provide sensitive information for structural health condition, this paper aims to study the second harmonic generation of guided waves in metallic tube-like structures with weakly nonlinearity. Perturbation method and modal analysis approach are used to analyze the acoustic field of second harmonic solutions. The conditions for generating second harmonics with cumulative effect are provided in present investigation. Flexible polyvinylidene fluoride comb transducers are used to measure fundamental wave modes and second harmonic ones. The work experimentally verifies that the second harmonics of guided waves in pipe have a cumulative effect with propagation distance. The proposed procedure of this work can be applied to detect material nonlinearity due to damage mechanism in tube-like structure.
{"title":"Cumulative Second Harmonic Generation of Ultrasonic Guided Waves Propagation in Tube-Like Structure","authors":"Weibin Li, M. Deng, Younho Cho","doi":"10.1142/S0218396X16500119","DOIUrl":"https://doi.org/10.1142/S0218396X16500119","url":null,"abstract":"Second harmonic generation of ultrasonic waves propagating in unbounded media and plate-like structure has been vigorously studied for tracking material nonlinearity, however, second harmonic guided wave propagation in tube-like structures is rarely studied. Considering that second harmonics can provide sensitive information for structural health condition, this paper aims to study the second harmonic generation of guided waves in metallic tube-like structures with weakly nonlinearity. Perturbation method and modal analysis approach are used to analyze the acoustic field of second harmonic solutions. The conditions for generating second harmonics with cumulative effect are provided in present investigation. Flexible polyvinylidene fluoride comb transducers are used to measure fundamental wave modes and second harmonic ones. The work experimentally verifies that the second harmonics of guided waves in pipe have a cumulative effect with propagation distance. The proposed procedure of this work can be applied to detect material nonlinearity due to damage mechanism in tube-like structure.","PeriodicalId":54860,"journal":{"name":"Journal of Computational Acoustics","volume":"24 1","pages":"1650011"},"PeriodicalIF":0.0,"publicationDate":"2016-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/S0218396X16500119","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64077199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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