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

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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.
Publisher
SPRINGER
Issue Date
2017-06
Language
English
Article Type
Article
Keywords

HYBRID EXPANSION METHOD; TOPOLOGY OPTIMIZATION; LINEAR-SYSTEMS; FREQUENCY RESPONSES; STRUCTURAL SYSTEMS; PART II; ENERGY; PROPAGATION

Citation

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, v.55, no.6, pp.2197 - 2210

ISSN
1615-147X
DOI
10.1007/s00158-016-1636-6
URI
http://hdl.handle.net/10203/223894
Appears in Collection
ME-Journal Papers(저널논문)
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