• [2012-07-13]

  Date posted: May 21, 2012 On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures

Title：On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures Lecturer：Prof. Heinrich Voss Time： 3:30 pm Date:  May 23，2012.   Venue：Conference Room 212, Building No.1, Engineering College Host：Prof. Pu Chen   Abstract：     In this talk we consider an unsymmetric eigenvalue problem ……         (1) which governs free vibrations of a fluid-solid structure. Here Ks∈Rs×s and Kf∈Rf×f  are the stiffness matrices, and Ms∈Rs×s and Mf∈Rf×f are the mass matrices of the structure and the fluid, respectively, and C∈Rs×f describes the coupling of structure and fluid. xs is the structure displacement vector, and xf the fluid pressure vector. We introduce a Rayleigh functional p of (1) which has similar properties as the Rayleigh quotient of a Hermitian matrix. Right-eigenvectors of (1) are stationary points of the Rayleigh functional, and the eigenvalues can be characterized as min-max-values of p, the one-sided Rayleigh functional iteration converges cubically, and a Jacobi-Davidson type method improves its local and global convergence properties.