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کنترل نانو عملگر پیزوالکتریک با استفاده از تئوری فلکسوالکتریک وابسته به اندازه | ||
| نشریه مهندسی مکانیک امیرکبیر | ||
| مقاله 8، دوره 52، شماره 1، فروردین 1399، صفحه 109-126 اصل مقاله (1.07 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2018.14089.5795 | ||
| نویسندگان | ||
| حسین واقف پور1؛ هادی آروین* 2؛ یعقوب طادی بنی3 | ||
| 1گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه شهرکرد، شهرکرد، ایران | ||
| 2عضو هیأت علمی دانشگاه شهرکرد، دانشکده فنی و مهندسی، گروه مهندسی مکانیک | ||
| 3دانشکده فنی و مهندسی، گروه مهندسی مکانیک، دانشگاه شهرکرد، شهرکرد، ایران | ||
| چکیده | ||
| در این مقاله برای اولین بار از کنترل پسخورد و کنترل فازی به منظور ردگیری مسیر دلخواه انتهای یک نانوتیر طرهای پیزوالکتریک به عنوان یک نانو عملگر استفاده شده است. معادالت حرکت بشکل معادالت دیفرانسیل با مشتقات پارهایی به کمک تئوری فلکسوالکتریک مرتبه باال وابسته به اندازه استخراج گردیده است. به منظور دستیابی به معادالت حاکم، فرموالسیون غیرخطی برای نانوتیر اویلر-برنولی پیزوالکتریک با درنظر گرفتن غیرخطی گری فون-کارمن به کارگرفته شده است. معادالت غیر خطی به کمک حساب تغییرات و اصل همیلتون بدست آمده است. برای تبدیل معادالت دیفرانسیل پارهایی به معادالت دیفرانسیل معمولی روش گسسته سازی گلرکین پیاده سازی شده است. با استفاده از متغیرهای فضای حالت، مدل فضای حالت نانوتیر برای طراحی کنترلکننده مناسب بدست آورده شده است. سپس طراحی کنترل پسخورد حالت بدون انتگرالگیر، کنترل پسخورد حالت با انتگرال گیر و کنترلر فازی برای کنترل انتهای نانوعمل گر به منظور ردگیری مسیر دلخواه صورت پذیرفته است. در پایان اثر ورودی های متفاوت )سینوسی و پله( به همراه اغتشاش )ضربه( برروی کنترلرهای طراحی شده با استفاده از شبیه سازی کامپیوتری شرح داده شده است. با توجه به یافته های این مقاله می توان بیان نمود که به ترتیب کنترلر فازی، کنترلر پسخورد حالت با انتگرال گیر و کنترلر پسخورد حالت بدون انتگرالگیر بهترین عملکرد را داشته اند. | ||
| کلیدواژه‌ها | ||
| نانوتیر پیزوالکتریک؛ تئوری فلکسوالکتریک وابسته به اندازه؛ کنترل پسخورد؛ کنترل فازی | ||
| عنوان مقاله [English] | ||
| Control of a Piezoelectric Nano-Actuator based on Flexoelectric Size-Dependent Theory | ||
| نویسندگان [English] | ||
| Hossein Vaghefpour1؛ Hadi Arvin2؛ Yaghoob Tadi Bani3 | ||
| 1Department of Mechanical Engineering, Faculty of Engineering, Shahrekord University , Shahrekord, Iran. | ||
| 2Department of Mechanical Engineering, Faculty of Engineering, Shahrekord University | ||
| 3Department of Mechanical Engineering, Faculty of Engineering, Shahrekord University , Shahrekord, Iran | ||
| چکیده [English] | ||
| In this paper, for the first time feedback control algorithms and fuzzy control are implemented for tip tracking control of a piezoelectric size-dependent cantilever nanobeam as a nanoactuator to a desired path. The governing partial differential equation of motion is obtained based on a size-dependent high-order flexoelectric theory. The equations of motion for an isotropic piezoelectric Euler-Bernoulli nanobeam are derived based on the von-Karman geometric nonlinearity besides employing the Hamilton’s principle and variational approach. In order to reduce the governing partial differential equations into a set of ordinary differential equations the Galerkin projection method is implemented. By introducing a new set of variables, the state space model of nanobeam is derived. The state feedback, integral state feedback and fuzzy control algorithms are employed to achieve a desired output for tip tracking. Regarding to the findings of this paper, it can be concluded that the fuzzy controller, integral state feedback and state feedback controller have the best performance in that order. | ||
| کلیدواژه‌ها [English] | ||
| Piezoelectric nanobeam, Scale flexoelectric theory, feedback control, fuzzy control | ||
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| مراجع | ||
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