Nonlinear Restoring Force Identification of Strongly Nonlinear Structures by Displacement Measurement

bistable structure; displacement-measurement restoring force surface; quasi-zero stiffness; Strongly nonlinear structures; tristable structure; Cyclic loads; Energy harvesting; Geometry; Parameter estimation; Stiffness; Uncertainty analysis; Bistable structures; Displacement-measurement restoring force surface; Displacements measurements; Nonlinear restoring force; Nonlinear structure; Quasi-zero stiffness; Restoring force surfaces; Strongly nonlinear; Strongly nonlinear structure; Tristable structure; Displacement measurement

Abstract :

[en] Strongly nonlinear structures have attracted a great deal of attention in energy harvesting and vibration isolation recently. However, it is challenging to accurately characterize the nonlinear restoring force using analytical modeling or cyclic loading tests in many realistic conditions due to the uncertainty of installation parameters or other constraints, including space size and dynamic disturbance. Therefore, a displacement-measurement restoring force surface identification approach is presented for obtaining the nonlinear restoring force. Widely known quasi-zero stiffness, bistable, and tristable structures are designed in a cantilever-beam system with coupled rotatable magnets to illustrate the strongly nonlinear properties in the application of energy harvesting and vibration isolation. Based on the derived physical model of the designed strongly nonlinear structures, the displacement-measurement restoring force surface identification with a least-squares parameter fitting is proposed to obtain the parameters of the nonlinear restoring force. The comparison between the acceleration integration and displacement differentiation methods for describing the restoring force surface of strongly nonlinear structures is discussed. Besides, the influence of the noise level on identification accuracy is investigated. In experimental conditions, quasi-zero stiffness, bistable, and tristable nonlinear structures with various geometrical parameters are utilized to analyze the identified nonlinear restoring force curve and measured force-displacement trajectory. Finally, experimental results verify the effectiveness of the displacement-measurement restoring force surface method to obtain the nonlinear restoring force. © 2021 by ASME.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Liu, Q.; Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, Xi'an Jiaotong University, Xi'an, 710049, China

Hou, Z.; Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, Xi'an Jiaotong University, Xi'an, 710049, China

Zhang, Y.; Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, Xi'an Jiaotong University, Xi'an, 710049, China

Jing, X.; Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hong Kong, 999077, Hong Kong

Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Cao, J.; Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, Xi'an Jiaotong University, Xi'an, 710049, China

Language :

English

Title :

Nonlinear Restoring Force Identification of Strongly Nonlinear Structures by Displacement Measurement

Publication date :

2022

Journal title :

Journal of Vibration and Acoustics

ISSN :

1048-9002

eISSN :

1528-8927

Publisher :

American Society of Mechanical Engineers (ASME)

Volume :

144

Issue :

Peer reviewed :

Peer reviewed

Funding text :

National Natural Science Foundation of China (Grant No. 51975453; Funder ID: 10.13039/501100001809).

Available on ORBi :

since 30 October 2022

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