A modal synthesis method for the elastoacoustic vibration problem
Departamento de Matemática
Aplicada, Universidade de Santiago de Compostela, 15706 Santiago de
Compostela, Spain. firstname.lastname@example.org.. Partially supported by research project PGIDT00PXI20701PR. Xunta de Galicia (Spain).
2 Departamento de Matemáticas, Universidade da Coruña, 15071 A Coruña, Spain. Partially supported by FONDAP in Applied Mathematics, Chile.
3 Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160–C, Concepción, Chile. Partially supported by FONDECYT Grant 1.990.346 and FONDAP in Applied Mathematics, Chile.
A modal synthesis method to solve the elastoacoustic vibration problem is analyzed. A two-dimensional coupled fluid-solid system is considered; the solid is described by displacement variables, whereas displacement potential is used for the fluid. A particular modal synthesis leading to a symmetric eigenvalue problem is introduced. Finite element discretizations with Lagrangian elements are considered for solving the uncoupled problems. Convergence for eigenvalues and eigenfunctions is proved, error estimates are given, and numerical experiments exhibiting the good performance of the method are reported.
Mathematics Subject Classification: 65N15 / 65N25 / 74F10
Key words: Fluid-structure interaction / elastoacoustic / modal synthesis.
© EDP Sciences, SMAI, 2002