پیوندهای مفید
آمار
| تعداد نشریات | 8 |
| تعداد شماره‌ها | 427 |
| تعداد مقالات | 5,578 |
| تعداد مشاهده مقاله | 6,829,448 |
| تعداد دریافت فایل اصل مقاله | 5,799,846 |
Nonlinear vibration control of smart plates using nonlinear modified positive position feedback approach | ||
| AUT Journal of Mechanical Engineering | ||
| مقاله 3، دوره 5، شماره 1، خرداد 2021، صفحه 49-76 اصل مقاله (2.22 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajme.2020.18164.5886 | ||
| نویسندگان | ||
| Saideh Chamanmeymandi1؛ Alireza Shoshtari* 2 | ||
| 1Mechanical Engineering Department, Engineering Faculty, Bu-Ali Sina University | ||
| 2بوعلی سینا همدان*فنی و مهندسی | ||
| چکیده | ||
| In this paper, nonlinear vibration control of a plate is investigated using a nonlinear modified positive position feedback method that is applied through a piezoelectric layer on the plate. Based on the classical theory of displacement and strain relations with von Karman, intended equations of motion for the smart plate have been obtained. In this model, transverse vibrations are studied and stimulations are performed for the primary resonance. Boundary conditions of the smart plate are simply supported. The plate is thickness symmetrical. Using the Galerkin method the temporal nonlinear equations governing the system have been found. Then, the free and forced vibrations of the structure with the nonlinear modified positive position feedback controller have been solved using the Method of Multiple Scales to obtain an analytical solution. Results show that this controller reduces the amplitude of the vibration by inducing an increase in the damping coefficient. In addition, this provides a higher level of suppression in the overall frequency domain response by increasing the compensator gain. Finally, the results of the analytical solution for the closed-loop nonlinear modified positive position feedback controller are presented and compared with the result of the conventional positive position feedback controller and nonlinear integral resonant controller. The results show that the performance of the nonlinear modified positive position feedback controller is better than other controllers and significantly reduces the vibration amplitude. | ||
| کلیدواژه‌ها | ||
| Nonlinear vibration control؛ Smart structure؛ Piezoelectric؛ Nonlinear modified oositive position Feedback controller؛ Method of multiple scales | ||
| مراجع | ||
|
[1] E. Omidi, S.N. Mahmoodi, Nonlinear vibration control of flexible structures using nonlinear modified positive position feedback approach, in: Dynamic Systems and Control Conference, American Society of Mechanical Engineers, 2014, pp. V003T052A002. [2] T. Zhang, H.G. Li, G.P. Cai, Hysteresis identification and adaptive vibration control for a smart cantilever beam by a piezoelectric actuator, Sensors and Actuators A: Physical, 203 (2013) 168-175. [3] E. Pereira, S.S. Aphale, Stability of positive-position feedback controllers with low-frequency restrictions, Journal of Sound and Vibration, 332(12) (2013) 2900-2909. [4] E. Omidi, N. Mahmoodi, Hybrid positive feedback control for active vibration attenuation of flexible structures, IEEE/ASME Transactions on Mechatronics, 20(4) (2014) 1790-1797. [5] E. Omidi, R. McCarty, S.N. Mahmoodi, Implementation of modified positive velocity feedback controller for active vibration control in smart structures, in: Active and Passive Smart Structures and Integrated Systems 2014, International Society for Optics and Photonics, 2014, pp. 90571N. [6] S.-Q. Zhang, Y.-X. Li, R. Schmidt, Active shape and vibration control for piezoelectric bonded composite structures using various geometric nonlinearities, Composite Structures, 122 (2015) 239-249. [7] H. Tourajizade, M. Kariman, M. Zamanian, B. Firouzi, Optimal Control of electrostatically actuated micro-plate attached to the end of microcantilever, Engineering Mechchanics Journal of Amirkabir, 49(4) (2018) 131-140. [8] H. Vaghefpour, Nonlinear Vibration and Tip Tracking of Cantilever Flexoelectric Nanoactuators, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, (2020) 1-11. [9] L. Marinangeli, F. Alijani, S.H. HosseinNia, Fractional-order positive position feedback compensator for active vibration control of a smart composite plate, Journal of Sound and Vibration, 412 (2018) 1-16. [10] N. Sepehrya, M. Ehsanib, M. Shamshirsazc, Free and Forced Vibration Analysis of Piezoelectric Patches Based on Semi-Analytic Method of Scaled Boundary Finite Element Method, (2019). [11] O. Garcia-Perez, G. Silva-Navarro, J. Peza-Solis, Flexible-link robots with combined trajectory tracking and vibration control, Applied Mathematical Modelling, 70 (2019) 285-298. [12] S. Azimi, A. Mazidi, M. Azadi, Active Flutter Control of a Swept Wing with an Engine by Using Piezoelectric Actuators, Persian, Amirkabir Journal of Mechanical Engineering,(DOI), 10 (2019). [13] A. Andakhshideh, H. Karamad, Prediction and Control of Chaos in Nonlinear Rectangular Nano-plate on Elastic Foundation, AUT Journal of Mechanical Engineering, 52(5) (2019) 131-140. [14] C. Zhu, X. Fang, J. Liu, A new approach for smart control of size-dependent nonlinear free vibration of viscoelastic orthotropic piezoelectric doubly-curved nanoshells, Applied Mathematical Modelling, 77 (2020) 137-168. [15] C.-Y. Chia, Nonlinear analysis of plates, McGraw-Hill International Book Company, 1980. [16] V. Birman, Plate structures, Springer Science & Business Media, 2011. [17] A. Shooshtari, S. Razavi, Nonlinear vibration analysis of rectangular magneto-electro-elastic thin plates, International journal of engineering, 28 (2015) 136-144. [18] A. Abe, Y. Kobayashi, G. Yamada, One-to-one internal resonance of symmetric crossply laminated shallow shells, J. Appl. Mech., 68(4) (2001) 640-649. [19] A. Milazzo, An equivalent single-layer model for magnetoelectroelastic multilayered plate dynamics, Composite structures, 94(6) (2012) 2078-2086. [20] J.N. Reddy, Theory and analysis of elastic plates and shells, CRC press, 1999. [21] M. Rafiee, X. He, K. Liew, Nonlinear analysis of piezoelectric nanocomposite energy harvesting plates, Smart Materials and Structures, 23(6) (2014) 065001. [22] E. Omidi, S.N. Mahmoodi, Sensitivity analysis of the nonlinear integral positive position feedback and integral resonant controllers on vibration suppression of nonlinear oscillatory systems, Communications in Nonlinear Science and Numerical Simulation, 22(1-3) (2015) 149-166. [23] E. Omidi, S.N. Mahmoodi, Nonlinear integral resonant controller for vibration reduction in nonlinear systems, Acta Mechanica Sinica, 32(5) (2016) 925-934. [24] A.H. Nayfeh, D.T. Mook, Nonlinear oscillations, John Wiley & Sons, 2008. | ||
|
آمار تعداد مشاهده مقاله: 344 تعداد دریافت فایل اصل مقاله: 356 |
||