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Structural and Multidisciplinary Optimization

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09-01-2017 | RESEARCH PAPER

Design sensitivity analysis for transient response of non-viscously damped dynamic systems

Authors: Kyeong-Soo Yun, Sung-Kie Youn

Published in: Structural and Multidisciplinary Optimization | Issue 6/2017

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Abstract

A design sensitivity analysis for the transient response of the non-viscously damped dynamic systems is presented. The non-viscously (viscoelastically) damped system is widely used in structural vibration control. The damping forces in the system depend on the past history of motion via convolution integrals. The non-viscos damping is modeled by the generalized Maxwell model. The transient response is calculated with the implicit Newmark time integration scheme. The design sensitivity analysis method of the history dependent system is developed using the adjoint variable method. The discretize-then-differentiate approach is adopted for deriving discrete adjoint equations. The accuracy and the consistency of the proposed method are demonstrated through a single dof system. The proposed method is also applied to a multi-dof system. The validity and accuracy of the sensitivities from the proposed method are confirmed by finite difference results.

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Title: Design sensitivity analysis for transient response of non-viscously damped dynamic systems
Authors: Kyeong-Soo Yun
Sung-Kie Youn
Publication date: 09-01-2017
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 6/2017
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-016-1636-6

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