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A BEM sensitivity and shape identification analysis for acoustic scattering in fluid–solid problems
Author(s) -
Mallardo V.,
Aliabadi M. H.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19980430)41:8<1527::aid-nme352>3.0.co;2-o
Subject(s) - helmholtz equation , boundary element method , sensitivity (control systems) , helmholtz free energy , mathematical analysis , boundary value problem , mathematics , boundary (topology) , finite element method , cauchy distribution , structural acoustics , acoustics , physics , structural engineering , engineering , vibration , quantum mechanics , electronic engineering
In this paper a boundary element formulation for the sensitivity analysis of structures immersed in an inviscide fluid and illuminated by harmonic incident plane waves is presented. Also presented is the sensitivity analysis coupled with an optimization procedure for analyses of flaw identification problems. The formulation developed utilizes the boundary integral equation of the Helmholtz equation for the external problem and the Cauchy–Navier equation for the internal elastic problem. The sensitivities are obtained by the implicit differentiation technique. Examples are presented to demonstrate the accuracy of the proposed formulations. © 1998 John Wiley & Sons, Ltd.