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- W2005728844 abstract "An algorithm is developed for dynamic response analysis of nonlinear structural systems by using the pseudo-normal mode superposition technique. The analytical formulation is based on finite element theory for spatial dependence and both geometric and material nonlinearities are considered. Lagrangian concept is used to describe the motion of the discrete system. An “assumed linear” stiffness is used throughout the response solution and the nonlinearities are grouped together with the external dynamic loads acting on the system and called as pseudo-loads. The discrete coordinates are transformed to modal coordinates based on the “assumed linear” stiffness for the whole system. The pseudo-loads are then approximated by a quadratic polynomial of time on increments (or subintervals) which can be made sufficiently small to ensure convergence in the limit. This approximation is performed iteratively by fitting a unique quadratic curve through three points over each subinterval. It was found that selecting these points at the beginning, at the middle, and at the end of the increment gives the most efficient and accurate solution. Two iterative techniques are presented: a direct iteration about the pseudo-loads, and an iteration about the incremental displacements. The second one proves to be more efficient for a multi degrees-of-freedom problem. For a geometrically nonlinear beam problem, comparison of results with a linear approximation of pseudo-load and the Park Stiffly-Stable method, show the algorithm presented gives more accurate, efficient and stable solutions." @default.
- W2005728844 created "2016-06-24" @default.
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- W2005728844 date "1984-01-01" @default.
- W2005728844 modified "2023-09-26" @default.
- W2005728844 title "Dynamic analysis of nonlinear structures by pseudo-normal mode superposition method" @default.
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- W2005728844 doi "https://doi.org/10.1016/0045-7949(84)90112-3" @default.
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