A new technique for determining coupled modes of structure-acoustic systems

作者：Khazaee Adib^*; Lotfi Vahid

来源：Archive of Applied Mechanics, 2015, 85(7): 955-967.

DOI：10.1007/s00419-015-1003-x

• Structure-acoustic system
• Coupled mode
• Unsymmetric eigenvalue problem
• Arnoldi method
• Lanczos method

An efficient procedure is presented for solving the eigenvalue problem corresponding to the free vibration of structure-acoustic systems. The proposed algorithm is based on projecting matrices of the eigenvalue problem on the Krylov subspace in a way that even though the mass and stiffness matrices are unsymmetric, the resulting matrix is a symmetric tridiagonal one. Moreover, it is shown that the presented method contains half arithmetic operations for solving this particular problem compared with the two-sided Lanczos algorithm used in ANSYS. It seems that the proposed technique is an ideal alternative to be adopted for determining coupled modes of structure-acoustic systems.

• 出版日期2015-7