Parametric control of quasi-zero stiffness mechanisms for vibration isolation at near-zero frequencies

Parametric control of quasi-zero stiffness mechanisms for vibration isolation at near-zero frequencies Full article

Journal

JOURNAL OF VIBRATION AND CONTROL
ISSN: 1077-5463

Output data

Year: 2024, DOI: 10.1177/10775463241239381

Authors

Lee Chang-Myung ¹ , Karpov Evgeny ^2,3 , Goverdovskiy Vladimir ³ , Larichkin Alexey ^2,3 , Brovkina Julia ³ , Prokhorov Alexander ³

Affiliations

1	Department of Aerospace and Mechanical Engineering, University of Ulsan, Ulsan, Korea
2	Laboratory of Composites Mechanics, Lavrentyev Institute of Hydrodynamics, Siberian Branch of Russian Academy of Science, Novosibirsk, Russia
3	Department of Computer Simulating in Mechanical Engineering, Moscow Polytechnic University, Moscow, Russia

Infra-frequency vibration, including near-zero frequencies, has become a critical limiting factor for developers of next-generation ultra-high precision measurement systems. Mechanisms involving quasi-zero stiffness show potential to solve this new vibration problem. An approach for designing a novel type of the mechanisms for this class is presented. An algorithm is developed and tested for numerical solution of nonlinear elasticity problem in designing the mechanism structural and parametric elements based on FEM models. The elements are spatially prestressed multi-layer designs of polymer composites for modeling elastic postbuckling in large and the effect of a “floating” binder. An algorithm and models following the Nelder-Mead method are used for optimizing the designs. Examples of Euler-beam-shaped composite elements under postbuckling demonstrate a qualitative leap in mechanisms design and efficiency, specifically, in terms of compactness, lightness, and strength. A dramatically expanded control range for the linear section of operating travel with quasi-zero stiffness is obtained. A damping threshold is evaluated, and an optimal type diagram of the mechanism is designed and enumerated as necessary conditions for vibration isolation at near-zero frequencies. The validity and effectiveness of the approach are demonstrated with the results of theoretical design and testing of the prototype for vibration isolation of the ultra-high precision optical system. The learning capability of the mechanisms is estimated by an adapted version of the Levenberg-Marquardt algorithm with stepwise refinement in the test mode using Rosenbrock’s function.

Lee C-M. , Karpov E. , Goverdovskiy V. , Larichkin A. , Brovkina J. , Prokhorov A.
Parametric control of quasi-zero stiffness mechanisms for vibration isolation at near-zero frequencies
JOURNAL OF VIBRATION AND CONTROL. 2024. DOI: 10.1177/10775463241239381 WOS Scopus РИНЦ OpenAlex

Published online:

Mar 31, 2024

Web of science:	WOS:001194526000001
Scopus:	2-s2.0-85189648840
Elibrary:	66944770
OpenAlex:	W4393363393

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