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Corotational Response Sensitivity Analysis of Space Frame Finite Elements

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Authors

Al-Aukaily, Alabbas; Scott, Michael H.

Issue Date
2019-05-26
Citation
13th International Conference on Applications of Statistics and Probability in Civil Engineering(ICASP13), Seoul, South Korea, May 26-30, 2019
Abstract
however, the DDM has only been applied to geometrically nonlinear frame elements in two dimensions. The corotational formulation of large displacements is versatile for three dimensional simulations of frame structures because it separates geometric and material nonlinearity at the element level. However, the main difficulty of the corotational formulation for space frame elements is that finite rotations are not true vector quantities and the structural response depends on the order in which rotations are applied. Through analytic differentiation of an approximate algorithm to apply rotations, the response sensitivity equations are obtained for the corotational formulation of space frame elements and are implemented in the OpenSees finite element framework. To verify the accuracy of the derived sensitivity equations, standalone sensitivity analysis compares the proposed DDM with the finite difference method (FDM) for a space frame structure.
Response sensitivity computations for nonlinear geometry are required in structural reliability, optimization, and system identification. Compared to finite difference and complex perturbation methods, the direct differentiation method (DDM) of the governing response equations offers an approach to response sensitivity computations that is both accurate and efficient. Several formulations of DDM response sensitivity have been developed for material nonlinear planar and space frame finite elements
Language
English
URI
https://hdl.handle.net/10371/153466
DOI
https://doi.org/10.22725/ICASP13.327
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