بررسی تحلیلی ارتعاشات آزاد ساختارهای مختلف نانو لوله های برن نیترید تحت تنش اولیه

نوع مقاله: گرایش دینامیک،ارتعاشات و کنترل

نویسندگان

صنعتی سیرجان

چکیده

در این مقاله اثرات مدول الاستیسیته ساختارهای مختلف (زیگزاگ، کایرال، آرمچیر) بر پاسخ ارتعاشی نانو لوله­ برن نیترید تحت تاثیر تنش اولیه به­صورت تحلیلی بررسی شده است. با استفاده از فرضیات تئوری­های تیر اویلر برنولی و تیر تیموشنکو و تئوری الاستیسیته غیرمحلی، معادلات حاکم بر حرکت و شرایط مرزی با استفاده از اصل همیلتون استخراج شده است. شرایط مرزی بررسی شده، دوسر مفصل، دوسر گیردار، یکسر مفصل– یکسر گیردار و یکسر گیردار- یکسر آزاد است. همچنین مدول الاستیسیته ساختارهای مختلف مورد مطالعه و تاثیر آنها بر روی مقادیر فرکانس طبیعی سامانه بررسی شده است. در نهایت، تاثیر پارامترهای مختلف از جمله قطر نانولوله، اثر تنش اولیه، پارامتر غیرمحلی و پارامتر­های هندسی نانو­لوله برن نیترید بر روی فرکانس طبیعی انواع ساختار­ها بررسی شده است. نتایج نشان می­دهد که افزایش پارامتر غیرمحلی و اثرات تنش اولیه منجر به کاهش فرکانس طبیعی می­شود. از سویی دیگر مشاهده شد که افزایش قطر نانو­لوله موجب افزایش فرکانس سامانه شده و با افزایش قطر بیشتر از 6/0 نانومتر، تغییری در نتایج مشاهده نمی­شود.

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