Recent advances in reduction methods for instability analysis of structures

Abstract Status and some recent advances in the application of reduction methods to instability analysis of structures are summarized. The aspects of reduction methods discussed herein include: (a) multiple-parameter reduction methods for instability analysis of structures subjected to combined loads; (b) use of mixed models in conjunction with reduction methods for instability analysis; and (c) application of reduction methods to instability problems with displacement-dependent and nonconservative loadings. Numerical examples are presented to demonstrate the effectiveness of reduction methods in instability analysis. Also, research areas which have high potential for application of reduction methods are identified.

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