Probabilistic approach for structural-acoustic finite element analysis

K. J. Joo*, Wing K Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)151-168
Number of pages18
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
StatePublished - Dec 1 1988

ASJC Scopus subject areas

  • Mechanical Engineering


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