Sensitivity analysis of structural systems is important for identifying important parameters that influence the dynamic response of a model. This paper describes an extension of the standard Newmark-beta algorithm to the multicomplex mathematical domain such that time-dependent, high-order, high-accuracy derivatives of dynamic systems can be obtained along with the traditional response. In particular, complex and bicomplex analyses were used to compute accurate first and second order derivatives of several example problems. These derivatives were shown to be highly accurate when compared to analytical and finite difference estimates. The method is general and any order derivative including mixed derivatives can be computed.
Multicomplex Newmark-Beta Time Integration Method for Sensitivity Analysis in Structural Dynamics
AIAA Journal ; 53 , 5 ; 1188-1198
2015-03-03
11 pages
Article (Journal)
Electronic Resource
English
Multicomplex Newmark-Beta Time Integration Method for Sensitivity Analysis in Structural Dynamics
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