Research On The Theretical Analysis Of Fixed-Interface Modal Synthesis Techiniques

Fixed-interface Modal Synthesis Technique is an effective method for solving vibration problems of large complex structure. But the error analysis of this method has not been in-depth study. By using the Eigenvalue-Theory and Matrix Perturbation Theory, this paper has researched on the error analysis of the method .By summing up the development and conditions of Fixed-Interface Modal Synthesis Technique, the Dynamic Principle and the assembly-transfer process of which is systemic introduced. Based on the transfer idea of Fixed-Interface Modal Synthesis Technique, we Propose the algebra Fixed-Interface Modal Synthesis Technique, which can be used to calculate several low order eigenvalues of large-scale narrow-band sparse matrix. According to the exact Fixed-Interface Modal Synthesis Technique, we propose the algebra Fixed-Interface Modal Synthesis Technique. Comparing the exact Fixed-Interface Modal Synthesis with the exact Fixed-Interface Modal Synthesis Technique, we can get the disturbances of the mass matrix. According to the Matrix Perturbation Theory, we analysis the influence of the omitted high-modal on the calculated accuracy and launch the error estimate formulation of eigenvalue calculated by the Fixed-Interface Modal Synthesis Technique. According to the error estimate formulation of eigenvector in the Numerical algebra, we derive the error estimate formulation of eigenvectors which are calculated by the Fixed-Interface Modal Synthesis Technique. The error estimate formulation of eigenvalue and eigenvector proposed by this paper make the theory of the Fixed-Interface Modal Synthesis Techniques.In this paper, the transfer matrix proposed by the algebra Fixed-Interface Modal Synthesis Techniques is used as the initial iterative vector to obtain a subspace iteration method.