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Structural and Multidisciplinary Optimization
Published in: Structural and Multidisciplinary Optimization 6/2018

21-11-2017 | RESEARCH PAPER

Adjoint sensitivity analysis and optimization of hysteretic dynamic systems with nonlinear viscous dampers

Authors: Nicolò Pollini, Oren Lavan, Oded Amir

Published in: Structural and Multidisciplinary Optimization | Issue 6/2018

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Abstract

In this paper we discuss the adjoint sensitivity analysis and optimization of hysteretic systems equipped with nonlinear viscous dampers and subjected to transient excitation. The viscous dampers are modeled via the Maxwell model, considering at the same time the stiffening and the damping contribution of the dampers. The time-history analysis adopted for the evaluation of the response of the systems relies on the Newmark-β time integration scheme. In particular, the dynamic equilibrium in each time-step is achieved by means of the Newton-Raphson and the Runge-Kutta methods. The sensitivity of the system response is calculated with the adjoint variable method. In particular, the discretize-then-differentiate approach is adopted for calculating consistently the sensitivity of the system. The importance and the generality of the sensitivity analysis discussed herein is demonstrated in two numerical applications: the retrofitting of a structure subject to seismic excitation, and the design of a quarter-car suspension system. The MATLAB code for the sensitivity analysis considered in the first application is provided as “Supplementary Material”.
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Appendix
Available only for authorised users
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Metadata
Title
Adjoint sensitivity analysis and optimization of hysteretic dynamic systems with nonlinear viscous dampers
Authors
Nicolò Pollini
Oren Lavan
Oded Amir
Publication date
21-11-2017
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 6/2018
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-017-1858-2

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