Piezoelectric effect on transversal vibrations and buckling of a beam with varying cross section |
| |
| Institution: | 1. Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine;2. Bialystok University of Technology, Wiejska Str. 45C, 15-351 Bialystok, Poland;1. School of Urban Rail Transportation, Soochow University, Suzhou, 215131, PR China;2. Department of Civil Engineering and Engineering Mechanics, Columbia University, USA;3. Department of Civil and Environmental Engineering, University of Delaware, USA;1. Université Clermont Auvergne, CNRS, SIGMA Clermont (ex- French Institute of Advanced Mechanics - IFMA), Institut Pascal, F-63000 Clermont-Ferrand, France;2. Department of Theoretical and Applied Mechanics, Dniepropetrovsk National University, Gagarin Av., 72, Dniepropetrovsk 49010, Ukraine;1. School of Mechanical Engineering, Iran University of Science and Technology, 16842-13114, Narmak, Tehran, Iran;2. School of Engineering, Damghan University, Damghan, Semnan, Iran;3. Department of Mechanical and Manufacturing Engineering, University of Calgary, 2500 University Drive, N.W., Calgary, Alberta, T2N 1N4, Canada;4. Center of Excellence in Railway Transportation, Iran University of Science and Technology, 16842-13114, Narmak, Tehran, Iran |
| |
| Abstract: | In this study, the static and dynamic response of a system composed of an Euler-Bernoulli beam with axially restrained ends and a pair of piezo patches symmetrically bonded at a specified localization is investigated. The system is kinematically loaded as a result of the prescribed displacement of one or both supports. By applying an electric field to the piezo patches a residual in-plane stress is generated in the system. The residual force, depending on the direction of the electric field vector, may diminish or enhance the system buckling capacity as well as affecting its natural vibration frequency. In order to acquire approximate solutions to the non-linear dynamic equilibrium equation, a version of the Lindstedt-Poincare method is utilized. With this in mind, the transversal displacements, vibration frequency and axial dynamic force are expanded into exponential series with respect to the small amplitude parameter. The numerical results show the effect of the structural parameters and induced axial piezoelectric force on the stability of the system and its vibration frequency. The amplitude-frequency relationship of the actuated system is also investigated. |
| |
| Keywords: | Piezoactuation Buckling Geometrical non-linearity Amplitude-frequency relationship Prestress Stepped beam |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
