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3 - Modeling of Elastic Postbuckling in Large and Dimensioning the Mechanisms with Negative Stiffness

Published online by Cambridge University Press:  29 October 2021

Chang-Myung Lee  and
Vladimir Nicholas Goverdovskiy
Chang-Myung Lee
Affiliation:
University of Ulsan, South Korea
Vladimir Nicholas Goverdovskiy
Affiliation:
University of Ulsan, South Korea
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Summary

Designing and finding a reasonable trade-off between dimensions and performance of structures and mechanisms with parametric elements of negative stiffness in large is a fundamental problem in development and practical use of infra-low-frequency vibration protection systems for humans and engineering. A method is proposed and formulated for modeling the stress-strain under nonlinear postbuckling of the structures and for an optimal dimensioning of the mechanisms. The method is based on the hypotheses and statements of consistent theory of thin shells and includes (a) basic design theory, (b) validation of prediction that parametric elements are to be thin-walled structures to provide viability of the mechanisms and harmony with a vibration protection system, (c) algorithm for modeling geometrically nonlinear deforming the structures and iterative procedure that enables an optimal computable scheme for designing the mechanisms by the FEM, and (d) fundamental relationships between design parameters in terms of compactness and compatibility of the mechanisms with workspace of the systems and for extension the range of stiffness control, where system natural frequencies can be reduced until nearly-zero values. A lineup of geometrically similar mechanisms with negative stiffness in large has been designed for seat suspensions, mountings, and platforms.

Keywords

Modeling of elastic nonlinear buckling and dimensioning of the mechanisms with negative stiffness in large
Type
Chapter
Information
Vibration Protection Systems
Negative and Quasi-Zero Stiffness
 , pp. 52 - 84
Publisher: Cambridge University Press
Print publication year: 2021

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