TY - JOUR

T1 - Probabilistic approach for structural-acoustic finite element analysis

AU - Joo, K. J.

AU - Liu, Wing K

PY - 1988/12/1

Y1 - 1988/12/1

N2 - A probabilistic finite element method (PFEM) for the structure acoustic fluid interaction problem is presented. The formulation is developed by applying the second-order perturbation technique to the weak form of the governing equations with the scattering pressures and the structural displacements as random functions. The material properties, geometric imperfections and loadings are modeled as uncertainties by discretizing their respective random functions. The Kuhn-Tucker necessary conditions, by which the formulation can be extended to calculate reliability, are presented. A frequency domain procedure, which employs the 'derived Ritz vectors', is presented for solving the resulting probabilistic finite element equations.

AB - A probabilistic finite element method (PFEM) for the structure acoustic fluid interaction problem is presented. The formulation is developed by applying the second-order perturbation technique to the weak form of the governing equations with the scattering pressures and the structural displacements as random functions. The material properties, geometric imperfections and loadings are modeled as uncertainties by discretizing their respective random functions. The Kuhn-Tucker necessary conditions, by which the formulation can be extended to calculate reliability, are presented. A frequency domain procedure, which employs the 'derived Ritz vectors', is presented for solving the resulting probabilistic finite element equations.

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M3 - Article

AN - SCOPUS:0024175087

VL - 93

SP - 151

EP - 168

JO - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

JF - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

SN - 0160-8835

ER -