| Robust adaptive vibration control of nanobeams based on nonlocal strain gradient theory |
| کد مقاله : 1083-ISAV |
| نویسندگان: |
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Mohammad Reza Hairi Yazdi *1، Amin Vahidi-Moghaddam2، Amin Yousefpour1 1Department of Mechanical Engineering, University of Tehran, 021, Tehran, Iran. 2Department of Mechanical Engineering, Michigan State University, 48824, East Lansing, USA |
| چکیده مقاله: |
| In this paper, a robust adaptive sliding mode controller is designed to suppress the nonlinear vibration of an uncertain Euler–Bernoulli nanobeam with immovable ends. To this end, firstly, through Hamilton's principle, governing nonlinear partial differential equations of motion are obtained based on the nonlocal strain gradient theory. The Galerkin scheme is applied to convert the obtained non-dimensional partial differential equation to a nonlinear ordinary differential equation. Then, the robust sliding mode controller is designed to stabilize the nonlinear vibration of uncertain nanobeam. Then, considering the fact that most micro/nano-systems have uncertain dynamics, and there is a paucity of accurate information about their states, the proposed controller is equipped with an extended Kalman filter. Actually, the extended Kalman filter algorithm is used to estimate the states of the considered system. Finally, simulation results with various initial conditions are presented to illustrate the effectiveness of the designed control scheme as well as the estimation algorithm. |
| کلیدواژه ها: |
| Robust adaptive sliding mode control; Extended Kalman filter; Nonlinear forced vibrations; Nonlocal strain gradient theory; Hamiltonian principle. |
| وضعیت : مقاله برای ارائه شفاهی پذیرفته شده است |