作者: L. Zoghaib , P.-O. Mattei
DOI: 10.1016/J.JSV.2013.09.044
关键词: Nonlinear system 、 Computation 、 Control theory 、 Mathematical analysis 、 Inverse Laplace transform 、 Eigenvalues and eigenvectors 、 Finite element method 、 Frequency response 、 Complex plane 、 Sound power 、 Engineering
摘要: Abstract A method to compute the non-stationary time and frequency response of structures with a frequency-dependent non-proportional linear damping, called resonance modes method, is presented in this paper. It consists two main steps. The first step aims at spotting structure modes, which are solutions matrix nonlinear eigenvalue problem obtained using finite element complex plane. This requires eigensolver an iterative scheme, perturbation technique or combination both. second uses computed analytical expression inverse Laplace transform deduce general excitations. aluminum plate damped elastomer treatment point-force excitation, classical modal approach, direct solution shows its precision efficiency. An acoustic power computation finally validates implementation fast variant, based on technique, for vibroacoustic applications.