Modal reanalysis methods for structural large topological modifications with added degrees of freedom and non-classical damping

作者: JJ He , JS Jiang , B Xu , None

DOI: 10.1016/J.FINEL.2007.09.003

关键词: TopologyMathematicsFinite element methodConvergence (routing)OrthogonalityInverse iterationDegrees of freedom (statistics)Rayleigh quotientIterative methodModal analysis

摘要: This paper presents two new methods for modal reanalysis of structures considering large topological modifications with added degrees freedom. Firstly, a quite simple and efficient approximate method the improved dynamic condensation, Kirsch approximation decoupling mass orthogonality is proposed real modes; then, high-quality which comprised complex eigensubspace condensation technique Rayleigh-quotient inverse iteration modes structural modifications. The convergence iterative improvement will be achieved after only or three cycles. Four numerical examples illustrate that are effective high precision.

参考文章(11)
Uri Kirsch, Shenghu Liu, Structural Reanalysis for General Layout Modifications AIAA Journal. ,vol. 35, pp. 382- 388 ,(1997) , 10.2514/2.105
Cheng Huang, Su Huan Chen, Zhongsheng Liu, None, Structural modal reanalysis for topological modifications of finite element systems Engineering Structures. ,vol. 22, pp. 304- 310 ,(2000) , 10.1016/S0141-0296(98)00111-4
B.S Wu, C.W Lim, Z.G Li, A finite element algorithm for reanalysis of structures with added degrees of freedom Finite Elements in Analysis and Design. ,vol. 40, pp. 1791- 1801 ,(2004) , 10.1016/J.FINEL.2004.01.004
Su Huan Chen, Feng Rong, A new method of structural modal reanalysis for topological modifications Finite Elements in Analysis and Design. ,vol. 38, pp. 1015- 1028 ,(2002) , 10.1016/S0168-874X(01)00111-1
S.H. Chen, X.W. Yang, H.D. Lian, Comparison of several eigenvalue reanalysis methods for modified structures Structural and Multidisciplinary Optimization. ,vol. 20, pp. 253- 259 ,(2000) , 10.1007/S001580050155
Suhuan Chen, Cheng Huang, Zhongsheng Liu, None, Structural Approximate Reanalysis for Topological Modifications of Finite Element Systems AIAA Journal. ,vol. 36, pp. 1760- 1762 ,(1998) , 10.2514/2.7557
Zhong‐Sheng Liu, Su‐Huan Chen, None, Reanalysis of static response and its design sensitivity of locally modified structures Communications in Applied Numerical Methods. ,vol. 8, pp. 797- 800 ,(1992) , 10.1002/CNM.1630081102
J.-Y. Chen, J.-K. Liu, L.-C. Zhao, An improved perturbation method for free vibration analysis Journal of Sound and Vibration. ,vol. 180, pp. 519- 523 ,(1995) , 10.1006/JSVI.1995.0094
Su Huan Chen, Cheng Huang, Zongjie Cao, Structural Modal Reanalysis of Topological Modifications Shock and Vibration. ,vol. 7, pp. 15- 21 ,(2000) , 10.1155/2000/962547