Complex modal reanalysis of phononic crystals based on two-sided Lanczos algorithm
Aiming at solving the problem of low efficiency in modal analysis when the topology of phononic crystals is modified,a complex modal reanalysis based on two-sided Lanczos algorithm was proposed.Different from the full analysis,the modal analysis results of the original structure of the phononic crystals are used in the presented method.The projection vector matrix is constructed by applying the two-sided Lanczos algorithm.The scale of the vector matrix is compressed by mapping the generalized eigenvalue equation into the subspace.After solving the equation,the final solution is obtained by using the approximate modal relation.Through the analysis of the phononic crystals with their size and shape modified,it is verified that the results obtained by the method are of high accuracy,and the calculation time is reduced by 35％compared with that of full analysis.The method has a great potential in dealing with the modal analysis problems of phononic crystals with large topological modification variation and large calculation scale.
万方数据
维普
