期刊
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
卷 195, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2020.106230
关键词
Axially moving beam; Nonlinear energy sink; Vibration attenuation; Incremental harmonic balance; Frequency response
资金
- Marie Skodowska-Curie Actions European Commission [799201-METACTIVE]
- Serbian Ministry of Education, Science and Technological Development and Mathematical Institute SANU
An efficient semi-numerical framework is used to analyze the dynamic model of an axially moving beam with a nonlinear attachment, consisting of a nonlinear energy sink and a piezoelectric device. The governing equations are derived using Hamilton's principle and other methods, with further modeling and frequency response curve analysis of the system.
An efficient semi-numerical framework is used in this paper to analyze the dynamic model of an axially moving beam with a nonlinear attachment composed of a nonlinear energy sink and a piezoelectric device. The governing equations of motion of the system are derived by using the Hamilton's principle with von Karman strain-displacement relation and Euler - Bernoulli beam theory. The nonlinear energy sink is modeled as a lumped - mass system composed of a point mass, a spring with nonlinear cubic stiffness and a linear viscous damping element. The piezoelectric device is placed in the ground configuration. Frequency response curves of the presented nonlinear system are determined by introducing the incremental harmonic balance and continuation method for different values of material parameters. Based on the Floquet theory, the stability of periodic solutions was determined. Moreover, the presented results are validated with the results obtained by a numerical method as well as the results from the literature. Numerical examples show a significant effect of the nonlinear attachment on frequency response diagrams and vibration amplitude reduction of the primary beam structure.
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