نشریه مهندسی مکانیک ایران

نشریه مهندسی مکانیک ایران

تحلیل رفتار الکترومکانیکی میکرو ورق ساندویچی چند لایه پیزوالکتریک بر اساس فرمولاسیون واحد تعمیم یافته با استفاده از تئوری تنش کوپل اصلاح شده

نوع مقاله : مقاله علمی پژوهشی

نویسندگان
1 دانشجوی دکتری، دانشکده مهندسی مکانیک، دانشگاه شهرکرد، شهرکرد، ایران
2 دانشیار، دانشکده مهندسی مکانیک، دانشگاه شهرکرد، شهرکرد، ایران
3 استاد، دانشکده مهندسی مکانیک، دانشگاه شهرکرد، شهرکرد، ایران
چکیده
در زمینه تحلیل ورق و پوسته ها در چندین سال اخیر تئوری های مختلفی ارائه شده است که همواره برخی از آنها دارای خطا و نواقصی هستند. فرمولاسیون واحد کررا، فرمولاسیون جامعی است که علاوه بر رفع این نواقص، قابلیت مدل سازی تمام این تئوری ها و همچنین تئوری های مراتب بالاتر را به شکل واحد دارا می باشد. در این مقاله فرمولاسیون واحد کررا با استفاده از تئوری کوپل تنش اصلاح شده برای تحلیل الکترومکانیکی میکرو ورق های ساندویچی چند لایه حاوی مواد پیزوالکتریک در ابعاد میکرو توسعه داده شده است. بر خلاف سایر تئوری های ورق، در این فرمولاسیون تغییرات خیز در امتداد ضخامت ورق در نظر گرفته می شود. در این تحقیق نتایج خیز، تنش های درون صفحه ای، تنش های برون صفحه ای و پتانسیل الکتریکی برای خمش استاتیکی میکرو ورق ساندویچی ضخیم حاوی لایه های پیزوالکتریک با شرایط مرزی تکیه گاه ساده به دست آمده است. نتایج نشان می دهد استفاده از این فرمولاسیون در تئوری های مرتبه بالاتر مانند تئوری کوپل تنش اصلاح شده می تواند اثر اندازه ماده را برای هر نوع میکرو ورق ضخیم چند لایه حاوی پیزوالکتریک و یا بدون آن و همچنین کشیدگی ورق در راستای ضخامت را با در نظر گرفتن پیوستگی در مرز بین لایه ها به درستی تحلیل کند.
کلیدواژه‌ها

موضوعات


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