Early‐Time Interaction of Spherical Acoustic Waves and a Cylindrical Elastic Shell

1971 ◽  
Vol 50 (3B) ◽  
pp. 885-891 ◽  
Author(s):  
H. Huang ◽  
Y. F. Wang
2005 ◽  
Vol 118 (1) ◽  
pp. 124-128 ◽  
Author(s):  
A. C. Ahyi ◽  
Hui Cao ◽  
P. K. Raju ◽  
Herbert Überall
Keyword(s):  

1986 ◽  
Vol 91 (A2) ◽  
pp. 1333 ◽  
Author(s):  
A. T. Y. Lui ◽  
C. C. Goodrich ◽  
A. Mankofsky ◽  
K. Papadopoulos

1970 ◽  
Vol 37 (4) ◽  
pp. 1091-1099 ◽  
Author(s):  
H. Huang

The governing system of differential equations for the linear problem of the transient interaction of plane acoustic waves and a submerged elastic cylindrical shell is transformed into a system of Volterra integral equations of the second kind. The integral equations are solved by a step-by-step integration scheme and numerical results to the problem are obtained exactly within the limit of series solution imposed by the Gibb’s phenomenon and within the limit of numerical truncation and roundoff errors. Detailed features of the transient response of the shell were revealed.


2019 ◽  
Vol 142 (1) ◽  
Author(s):  
Gregory Bunting ◽  
Scott T. Miller

Abstract We expand the second-order fluid–structure coupling scheme of Farhat et al. (1998, “Load and Motion Transfer Algorithms for 19 Fluid/Structure Interaction Problems With Non-Matching Discrete Interfaces: Momentum and Energy Conservation, Optimal Discretization and Application to Aeroelasticity,” Comput. Methods Appl. Mech. Eng., 157(1–2), pp. 95–114; 2006, “Provably Second-Order Time-Accurate Loosely-Coupled Solution Algorithms for Transient Nonlinear Computational Aeroelasticity,” Comput. Methods Appl. Mech. Eng., 195(17), pp. 1973–2001) to structural acoustics. The staggered structural acoustics solution method is demonstrated to be second-order accurate in time, and numerical results are compared to a monolithically coupled system. The partitioned coupling method is implemented in the Sierra Mechanics software suite, allowing for the loose coupling of time domain acoustics in sierra/sd to structural dynamics (sierra/sd) or solid mechanics (sierra/sm). The coupling is demonstrated to work for nonconforming meshes. Results are verified for a one-dimensional piston, and the staggered and monolithic results are compared to an exact solution. Huang, H. (1969, “Transient Interaction of Plane Acoustic Waves With a Spherical Elastic Shell,” J. Acoust. Soc. Am., 45(3), pp. 661–670) sphere scattering problem with a spherically spreading acoustic load demonstrates parallel capability on a complex problem. Our numerical results compare well for a bronze plate submerged in water and sinusoidally excited (Fahnline and Shepherd, 2017, “Transient Finite Element/Equivalent Sources Using Direct Coupling and Treating the Acoustic Coupling Matrix as Sparse,” J. Acoust. Soc. Am., 142(2), pp. 1011–1024).


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