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A study on the use of perturbation technique for analyzing the nonlinear forced response of piezoelectric microcantilevers | ||
| Journal of Computational & Applied Research in Mechanical Engineering (JCARME) | ||
| مقاله 7، دوره 5، شماره 2، شهریور 2016، صفحه 161-172 اصل مقاله (910.64 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22061/jcarme.2016.433 | ||
| نویسندگان | ||
| M. Zamanian* ؛ M. Hadilu؛ B. Firouzi | ||
| Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University, P.O. Box 15719-14911, Tehran, Iran | ||
| تاریخ دریافت: 18 مهر 1394، تاریخ بازنگری: 11 آذر 1394، تاریخ پذیرش: 24 آذر 1394 | ||
| چکیده | ||
| In this paper, a comparison is made between direct and indirect perturbation approaches to solve the non-linear vibration equations of a piezoelectrically actuated cantilever microbeam. In this comparison, the equation of motion is considered according to Euler-Bernoulli theory with considering the non-linear geometric and inertia terms resulted from shortening effect. In the direct perturbation approach, the multiple scales method is directly applied to the partial differential equation of motion. In the indirect approach, the multiple scales perturbation technique is applied to the discretized equation of motion. It is shown that, if the equation of motion is discretized using one non-uniform microbeam mode shape as a comparison function, then the results of indirect perturbation approach will be identical to those of the direct perturbation approach. Moreover, it is observed that discretization using one uniform microbeam mode shape as a comparison function results in a different output. The concept of non-uniform microbeam mode shape is the linear mode shape of the microbeam by considering the geometric and inertia effects of the piezoelectric layer. | ||
| کلیدواژه‌ها | ||
| Direct perturbation؛ Indirect perturbation؛ Microcantilever؛ Nonlinear Vibration؛ Shortening effect؛ Piezoelectric | ||
| مراجع | ||
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