Application of numerical manifold method in fluid-solid interaction harmonic analysis

摘要

Numerical Manifold Method (NMM) is first applied to fluid-solid interaction analysis in this paper. Based on rectangular mathematical meshes and simplex integration, high-order NMM equations are presented for two-dimensional fluid-solid interaction harmonic analysis, concerning inviscid, irrotational, incompressible potential flow and undamped structures. Known value of fluid pressure is introduced via Lagrange multiplier method. It is also proposed that cover of analytical series is applied to simulate infinite fluid field, which can greatly decrease unknowns to be solved. Given examples of computing frequencies and harmonic responses prove the validity and high efficiency of the approach, suggesting that NMM is very suitable for combination of numerical solutions and analytical solutions.