Influence of geometric nonlinearity of rectangular plate on vibration reduction performance of nonlinear energy sink
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DOI 10.1007/s12206-020-0704-4
Journal of Mechanical Science and Technology 34 (8) 2020 Original Article DOI 10.1007/s12206-020-0704-4 Keywords: · Nonlinear energy sink · Geometrical nonlinearity · Higher branch · Harmonic excitation
Influence of geometric nonlinearity of rectangular plate on vibration reduction performance of nonlinear energy sink Wei-xing Zhang1,2 and Jian-en Chen1,2 1
Correspondence to: Jian-en Chen [email protected]
Citation: Zhang, W., Chen, J. (2020). Influence of geometric nonlinearity of rectangular plate on vibration reduction performance of nonlinear energy sink. Journal of Mechanical Science and Technology 34 (8) (2020) ?~?. http://doi.org/10.1007/s12206-020-0704-4
Received January 14th, 2020 Revised
May 19th, 2020
Accepted May 23rd, 2020
Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, School of 2 Mechanical Engineering, Tianjin University of Technology, Tianjin 300384, China, National Demonstration Center for Experimental Mechanical and Electrical Engineering Education, Tianjin University of Technology, Tianjin 300384, China
Abstract
The differences between the vibration reduction of a NES (nonlinear energy sink) on a nonlinear plate and a linear plate are compared, and the effect of NES on the nonlinear plate is mainly analyzed. The nonlinear equations of the plates connected to NES are derived and subsequently solved by the complexification-averaging method and least square method. The amplitude of the first mode of the nonlinear plate is several times higher than that of the linear plate under large excitation when the two plates are attached to identical NES. The amplitudes of the second mode of the two NES equipped plate are similar. However, superharmonic resonance responses of the two systems are significantly different. The evolution of the higher branch responses in super-harmonic resonance frequency band of the second mode is analyzed, and found to be significantly different with respect to that in the primary resonance frequency band of the first mode.
† Recommended by Editor No-cheol Park
1. Introduction
© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Vibration issues exist in many engineering fields, such as aerospace, automobile, civil engineering. In many such cases, the entire system can sustain damage. The passive vibration absorber has become an important research topic due to its high efficiency, easy maintenance, low cost and no need of additional energy supply. The tuned mass damper (TMD) is widely used because of its simple structure, and its damping mechanism is based on transferring the vibration energy to the TMD, where the energy is dissipated by the damping element [1, 2]. Although the principle of TMD is simple, its drawbacks are obvious. The TMD can maintain a satisfactory damping capacity only if its natural frequency is tuned close to that of the vibration mode, resulting in a narrow effective frequency band [3, 4]. However, the nonlinear energy si
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