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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