مطالعۀ ارتعاشات آزاد و ناپایداری نانولوله های کربنی حامل سیال با استفاده از مدل پوستۀ استوانه ای

نوع مقاله: مقاله علمی پژوهشی

نویسندگان

1 استاد، گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه فردوسی مشهد

2 دانشجوی کارشناسی ارشد، گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه فردوسی مشهد

چکیده

در این مقاله به منظور مطالعۀ ارتعاشات آزاد و ناپایداری نانولوله­های کربنی تک جدارۀ حامل سیال، براساس مدل پوستۀ استوانه­ای دانل و تئوری اصلاح شدۀ تنش­کوپل مدل جدیدی ارائه می­گردد. این مدل جدید تنها دارای یک پارامتر مقیاس طول ماده بوده و قادر است اثرات اندازه لولۀ کربنی در مقیاس نانو را لحاظ کند. معادلات دینامیکی حاکم و شرایط مرزی متناظر با کمک اصل همیلتون بدست آمده و با استفاده از روش عددی مربعات تفاضلی اثرات سیال داخلی و سرعت آن، پارامتر مقیاس طول ماده، تغییرات دما، بستر الاستیکی و شرایط مرزی مختلف بر فرکانس و محدودۀ پایداری نانولولۀ کربنی مذکور مورد مطالعه و بحث قرار می­گیرد.

کلیدواژه‌ها


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