Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Geometry of radiation problem

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Geometry of the impulsively accelerated sphere and the measurement surface H. The origin of the spherical coordinate system O(r,θ,φ) is located at the center of the sphere. The radius of the sphere is 0.1 m. The source surface Γ is the surface of the sphere. The measurement surface H is a spherical surface whose radius is 0.1181 m.

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Time axes for IDTBEM. New initial time is defined on the measurement surface (receiver surface in the DTBEM).

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Time axes for DTBEM. There is a retarded time between source surface and receiver surface.

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Schematic view of the minimum and maximum distances between source point and field point

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Time domain waveform comparisons of reconstructed pressures (dotted solid line) with the TSVD and analytical pressures (solid line) at (a) point (0.1 m, 0 rad, 0 rad) and (b) point (0.1 m, 0.5416 rad, 0.7854 rad)

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Spatial distributions of analytical pressures at t=0.39969 ms (a) and t=0.53292 ms (b) and reconstructed pressures at t=0.39969 ms (c) and t=0.53292 ms (d) on the source surface

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Time domain waveform comparisons of reconstructed pressures (dotted dot line) without using regularization and analytical pressures (solid line) at (a) point (0.1 m, 0 rad, 0 rad) and (b) point (0.1 m, 0.5416 rad, 0.7854 rad)

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Geometry of the vibrating cylinder and the measurement surface H. The origin of the Cartesian coordinate system O(x,y,z) is located at the center of the cylinder. The diameter of the cylinder is dc=0.064 m, and the length of the cylinder is hc=0.02 m. The source surface Γ is the surface of the cylinder. The diameter and length of the measurement surface H are dm=0.0789 m and hm=0.0349 m, respectively.

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Time domain waveform comparisons of reconstructed pressures (dotted solid line) and analytical pressures (solid line) at (a) point (0.0288, 0.01, −0.0139) m and (b) point (−0.0112, 0.01, −0.0178) m

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Spatial distributions of analytical pressures at t=1.4616 ms (a) and t=2.0029 ms (b) and reconstructed pressures at t=1.4616 ms (c) and t=2.0029 ms (d) on the source surface

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: The simplified car model and the mesh of the surface with 1155 elements and 1139 nodes. The origin of the Cartesian coordinate system O(x,y,z) is located at the geometrical center of the car model. The size of the car is 5.8×2.4×1.5 m3. The marked patches indicate the location where the flux initiated.

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Time domain waveform comparisons of reconstructed pressures (dotted solid line) and analytical pressures (solid line) at (a) point (1.1152, −0.7789, −0.2665) m and (b) point (0.3186, 1.203, 0.6122) m

Date of download: 11/3/2017 Copyright © ASME. All rights reserved. From: An Inverse Direct Time Domain Boundary Element Method for the Reconstruction of Transient Acoustic Field J. Vib. Acoust. 2017;139(2):021013-021013-8. doi:10.1115/1.4035381 Figure Legend: Spatial distributions of analytical pressures at t=45.464 ms (a) and t=53.884 ms (b) and reconstructed pressures at t=45.464 ms (c) and t=53.884 ms (d) on the source surface