Perturbation-Padé Method for Static Topological Reanalysis
Huang Hai(1),Chen Suhuan(2),Meng Guang(1)
(1 The State Key Laboratory of Vibration, Shock and Noise, Shanghai Jiaotong University) (2 Jilin University, Mechanical Department)

Abstract: Based on the perturbation of matrix and Padé approximation, a new met hod for static displacement reanalysis of structure is developed, where atransitional matrix is built and the exact solution is obtained with the original factorization information. The perturbation vector of original structure is processed by the Padé approximation to get the increasing perturbation solution of the transitional structure, and to achieve an accurate result with iterative method, furthermore, the combination of the results of these two steps arrives at the approximation solution of modified structure. The numerical example indica tes that this approach can be successfully and effectively applied to the static displacement reanalysis of structure.
Keyword: topological modification, reanalysis of the structure, perturbati on of matrix, padé approximation, iterative method.