Elastic Buckling Analysis of Composite Shells with Elliptical Cross-section under Axial Compression
محورهای موضوعی : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیکمنصور درویزه 1 , ابوالفضل درویزه 2 , رضا انصاری 3 , الهام کاظمی 4
1 - استاد، دانشکده مکانیک، دانشگاه گیلان.
2 - استاد، دانشگاه آزاد اسلامی واحد بندر انزلی
3 - استادیار، دانشکده مکانیک، دانشگاه گیلان
4 - کارشناس ارشد، دانشکده مکانیک، دانشگاه گیلان
کلید واژه: Finite Element, Composite shells, Critical buckling load, First order shear deformation, Elliptical cross-section,
چکیده مقاله :
In the present research, the elastic buckling of composite cross-ply elliptical cylindrical shells under axial compression is studied through finite element approach. The formulation is based on shear deformation theory and the serendipity quadrilateral eight-node element is used to study the elastic behavior of elliptical cylindrical shells. The strain-displacement relations are accurately accounted for in the formulation in local coordinate system. The contributions of the work done by applied load are also incorporated. The obtained governing equations by the principle of minimum potential energy is solved through eigenvalue approach. The influence of elliptical cross-sectional parameters on the critical buckling loads of elliptical cylindrical shells is examined .Results show that changes in the elliptical cross-sectional parameters significantly change critical buckling loads of the elliptical cylindrical shells.
در این مقاله به بررسی کمانش الاستیک پوسته‌های مرکب با سطح مقطع بیضی با چیدمان صفر و نود درجه که تحت بار محوری فشاری هستند، پرداخته میشود. روش حل بر مبنای اجزا محدود، براساس تئوری تغییر شکل برشی مرتبه اول اتخاذ شده است. یک المان هشت گره‌ای برای به دست آوردن رفتار الاستیکی پوسته بیضوی در نظر گرفته شده است. کرنشها بر اساس جابه‌جایی‌ها در مختصات محلی پوسته به دقت محاسبه شده و کار انجام شده توسط بار اعمالی به سازه، در نظر گرفته شده است. معادلات تعادل با استفاده از حداقل کردن انرژی پتانسیل به دست آمده‌اند و با استفاده از روش صفر کردن دترمینان ماتریس سیستم، حل شده‌اند. اثر تغییر پارامتر سطح مقطع بیضی (نسبت شعاع بزرگ به شعاع کوچک بیضی) بر روی بار کمانش بحرانی پوسته استوانه بیضوی بررسی شده است. نتایج مؤید این مطلب است که تغییر در پارامتر سطح مقطع بیضی می‌تواند به طور محسوسی بار کمانش بحرانی را تغییر دهد.
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