Dynamic sensitivity analysis for acoustics-structure coupled systems with sealed cavities
  Revised:October 13, 2003
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DOI:10.7511/jslx20055109
KeyWord:Acoustics-structure coupled system,FEM,sensitivity,conjugate subspace iteration method,
SUN Gan-yun  WANG Yue-fang~*
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Abstract:
      An approach for dynamic analysis and sensitivity computation of sealed cavities is presented as a part of theoretical preparation for optimal acoustic performance designs.The structure and the sound field are discretized with 4-node thin plate element and 6-node isoparametric hexahedral elements,respectively.The governing finite element equation of the coupled system is derived with unsymmetrical system coefficient matrices.An eigenvalue problem is analyzed through the conjugate subspace iteration method to obtain the natural frequencies and normalized modal vectors of the coupled system.The method of modal superposition is used for solution of structural displacements and sound pressures.For the sensitivities of natural frequencies and sound pressures,the efficient semi-analytical method is used to determine the derivatives of frequencies and sound pressures with respect to size variables.The aforementioned approach has been implemented into JIFEX,a large-scale finite element analysis and structural optimization system.In the numerical examples,the accuracies of sensitivities of natural frequencies and sound pressure levels are compared with the ones through the global difference approach.In addition,errors of sound pressure sensitivities are presented with various numbers of terms used in the modal superposition method.