Isogeometric modeling and vibroacoustic analysis of a symmetrically laminated thin plate coupled with an acoustic cavity.

Abstract

This study presents vibroacoustic modeling and analysis of symmetrically laminated thin plate-cavity coupled systems. The plate, cavity, and their coupling are characterized by classical plate theory, the Helmholtz equation, and a displacement-pressure formulation, respectively. The governing equations for plate-cavity coupled systems are derived using non-uniform rational B-splines (NURBS) and variational formulations. The isogeometric analysis (IGA) approach is employed to construct exact geometric models and solve the discretized governing equations of laminated plate-cavity coupled systems for the first time. Numerical results, validated against other available data, reveal the convergence and accuracy of the present method. The study explores the vibroacoustic characteristics of two specific systems: a rectangular plate-trapezoid cavity coupled system and an elliptical plate-cavity coupled system. Parametric investigations examine the effects of geometric shapes, boundary conditions, acoustic media, and lamination schemes on the vibroacoustic characteristics. These innovative findings provide valuable theoretical guidelines for designing laminated plate-cavity coupled systems and offer benchmark solutions for future research.