Extended Kirsch Combined Method for Eigenvalue Reanalysis

By Su-huan Chen, Xiao Wei Yang. 2000

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Sensitivity reanalysis of static displacement using Taylor series expansion and combined approximate method (2015, background): “nonlinear reanalysis (Kirsch 2000; Kirsch and Bogomolni 2007), vibration reanalysis (Chen and Yang 2000), dynamic reanalysis (Kirsch et al.”
Reanalysis and sensitivity reanalysis by combined approximations (2009, methodology): “Effective procedures for eigenproblem reanalysis have been developed in the early 2000s ( Chen and Yang 2000 ; C hen et al.2000; Kirsch 2003c; Rong et al 2003; Kirsch and Bogomolni 2004a).”
An adaptive reanalysis method for genetic algorithm with application to fast truss optimization (2010, methodology): “Chen [9] presented Pade approximation method for the static problem and extended Kirsch combined method [10,11] for the dynamic problem.”
Fast structural optimization with frequency constraints by genetic algorithm using adaptive eigenvalue reanalysis methods (2011, methodology): “2000b) and extended Kirsch combined method (Chen and Yang 2000; Chen et al. 2000a) for the dynamic problem.”
A unified reanalysis approach for structural analysis, design, and optimization (2003, background): “Accurate results and significant savings in computational effort have been reported in the solution of eigenproblems (Aktas and Moses 1998; Chen and Yang 2000; Chen et al. 2000; Kirsch 2003b), nonlinear analysis (Leu and Huang 1998; Kirsch and Frostig 2002), large-scale structures (Heiserer and Ba”