Abstract
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.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call