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Anjum, Naveed, He, Ji-Huan, He, Chun-Hui, Ashiq, Alina. (1401). A Brief Review on the Asymptotic Methods for the Periodic ‎Behaviour of Microelectromechanical Systems. سامانه نشریات, 8(3), 1120-1140. doi: 10.22055/jacm.2022.39404.3401
Naveed Anjum; Ji-Huan He; Chun-Hui He; Alina Ashiq. "A Brief Review on the Asymptotic Methods for the Periodic ‎Behaviour of Microelectromechanical Systems". سامانه نشریات, 8, 3, 1401, 1120-1140. doi: 10.22055/jacm.2022.39404.3401
Anjum, Naveed, He, Ji-Huan, He, Chun-Hui, Ashiq, Alina. (1401). 'A Brief Review on the Asymptotic Methods for the Periodic ‎Behaviour of Microelectromechanical Systems', سامانه نشریات, 8(3), pp. 1120-1140. doi: 10.22055/jacm.2022.39404.3401
Anjum, Naveed, He, Ji-Huan, He, Chun-Hui, Ashiq, Alina. A Brief Review on the Asymptotic Methods for the Periodic ‎Behaviour of Microelectromechanical Systems. سامانه نشریات, 1401; 8(3): 1120-1140. doi: 10.22055/jacm.2022.39404.3401

A Brief Review on the Asymptotic Methods for the Periodic ‎Behaviour of Microelectromechanical Systems

Journal of Applied and Computational Mechanics
دوره 8، شماره 3، مهر 2022، صفحه 1120-1140    اصل مقاله (549.39 K)
نوع مقاله: Review Paper
شناسه دیجیتال (DOI): 10.22055/jacm.2022.39404.3401
نویسندگان
Naveed Anjum* 1؛ Ji-Huan He* 2، 3؛ Chun-Hui He4؛ Alina Ashiq5
1Department of Mathematics, Government College University, Faisalabad, Pakistan
2National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, Suzhou, China
3School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China
4School of Civil Engineering, Xi'an University of Architecture and Technology, Xi’an, China
5Department of Physics, Government College University, Faisalabad, Pakistan
چکیده
Microelectromechanical systems (MEMS) is a very vast field and has been identified as lots of potential in tiny instruments. Because of their unique and exciting properties such as small sizes, low power consumption, reliability, and their capability of batch fabrications, their role in the production of microstructures has gained much importance for researchers and industries. The following study includes an overview of current asymptotic approaches and novel innovations which are applicable not only to weakly nonlinear equations but also to highly nonlinear equations derived from MEMS models. Moreover, the approximate analytical solutions obtained by these asymptotic approaches are valid across the whole solution domain. Various limitations of traditional perturbation method and variational iteration method are discussed and different modified versions of perturbation approaches and variational theory are provided to overcome these existing flaws. Two-scale idea for MEMS technology is also described. Some examples are given to elucidate the effectiveness and convenience of these methodologies.
کلیدواژه‌ها
Asymptotic methods؛ Nonlinear oscillators؛ Microelectromechanical systems؛ Amplitude-frequency relationship؛ Two-scale vibration
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