Transient Interaction of an Acoustic Wave with a Circular Cylindrical Elastic Shell

1960 ◽  
Vol 32 (6) ◽  
pp. 722-729 ◽  
Author(s):  
R. G. Payton
Keyword(s):  
Acoustic Wave ◽  
Elastic Shell ◽  
Transient Interaction

Modelling the transient interaction of a thin elastic shell with an exterior acoustic field

2008 ◽  
Vol 75 (3) ◽  
pp. 275-290 ◽  
Author(s):  
David J. Chappell ◽  
Paul J. Harris ◽  
David Henwood ◽  
Roma Chakrabarti
Keyword(s):  
Acoustic Field ◽  
Elastic Shell ◽  
Thin Elastic Shell ◽  
Transient Interaction

An Exact Analysis of the Transient Interaction of Acoustic Plane Waves With a Cylindrical Elastic Shell

1970 ◽  
Vol 37 (4) ◽  
pp. 1091-1099 ◽  
Author(s):  
H. Huang
Keyword(s):  
Integral Equations ◽  
Acoustic Waves ◽  
Linear Problem ◽  
Elastic Shell ◽  
Plane Waves ◽  
Integration Scheme ◽  
Elastic Cylindrical Shell ◽  
Governing System ◽  
Roundoff Errors ◽  
Transient Interaction

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.

scholarly journals Neoclassical Solution of Transient Interaction of Plane Acoustic Waves with a Spherical Elastic Shell

1996 ◽  
Vol 3 (2) ◽  
pp. 85-98 ◽  
Author(s):  
Hanson Huang ◽  
Hans U. Mair
Keyword(s):  
Laplace Transform ◽  
Acoustic Waves ◽  
Separation Of Variables ◽  
Elastic Shell ◽  
Time Derivative ◽  
Time History ◽  
Inverse Laplace Transform ◽  
Transient Interaction ◽  
Time Histories ◽  
Spherical Elastic Shell

A detailed solution to the transient interaction of plane acoustic waves with a spherical elastic shell was obtained more than a quarter of a century ago based on the classical separation of variables, series expansion, and Laplace transform techniques. An eight-term summation of the time history series was sufficient for the convergence of the shell deflection and strain, and to a lesser degree, the shell velocity. Since then, the results have been used routinely for validation of solution techniques and computer methods for the evaluation of underwater explosion response of submerged structures. By utilizing modern algorithms and exploiting recent advances of computer capacities and floating point mathematics, sufficient terms of the inverse Laplace transform series solution can now be accurately computed. Together with the application of the Cesaro summation using up to 70 terms of the series, two primary deficiencies of the previous solution are now remedied: meaningful time histories of higher time derivative data such as acceleration and pressure are now generated using a sufficient number of terms in the series; and uniform convergence around the discontinuous step wave front is now obtained, completely eradicating spurious oscillations due to the Gibbs' phenomenon. New results of time histories of response items of interest are presented.

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