نویسنده
دانشکده مهندسی مکانیک، دانشگاه کاشان، کاشان
چکیده
در این پژوهش، تحلیل کمانش غیرخطی نانوتیرکامپوزیتی مدرج تابعی تقویت شده با توزیع‌های مختلف نانو لولۀ نیترید-بور براساس تئوری الاستیسیته غیرمحلی به‌روش اجزاء محدود بررسی می‌شود. نانوتیرکامپوزیتی تحت بارگذاری‌های الکتروترمومکانیکی و نقص هندسی اولیه درنظر گرفته می‌شود. نانولوله‌های نیترید- بور در راستای ضخامت تیر به‌صورت یکنواخت و مدرج تابعی با چیدمان کاهشی- افزایشی توزیع شده‌اند و از مدل مخلوط توسعه یافته، برای تخمین خواص نانوتیر کامپوزیتی استفاده شده است. محیط الاستیک اطراف نانوتیر کامپوزیتی هوشمند به‌صورت بستر الاستیک مدل‌سازی شده است. معادلات حاکم با استفاده از روش انرژی و تئوری غیرموضعی الاستیسیته استخراج شده و بار کمانش بحرانی برای نانوتیر کامپوزیتی با شرایط مرزی مختلف شامل دو طرف تکیه‌گاه ساده یا دو طرف تکیه‌گاه گیردار به‌روش اجزاء محدود به‌دست می‌آیند. نتایج نشان می‌دهد با افزایش پارامتر نقص هندسی، سفتی نانوتیر کامپوزیتی افزایش یافته، درنتیجه پایداری سازه افزایش می‌یابد. استحکام چیدمان کاهشی- افزایشی، بیشتر از توزیع یکنواخت است. همچنین با اعمال پارامترهای میدان الکتریکی و بستر الاستیک بار کمانش بحرانی نانوتیر کامپوزیتی افزایش می‌یابد.
کلیدواژه‌ها
عنوان مقاله [English]
Nonlinear Buckling Analysis of Nano-composite Beam with Initial Geometrical Imperfection using Finite Element Method
نویسنده [English]
- M. Mohammadimehr
چکیده [English]
In this research, the nonlinear buckling analysis of Functionally Graded (FG) nano-composite beam reinforced by various distributions of Boron Nitrid Nanotube (BNNT) is investigated under electro-thermodynamical loading with considering initial geometrical imperfection. The analysis is performed based on nonlocal elasticity theory and using the Finite Element Method (FEM). Various distributions of BNNT along the beam’s thickness are considered as uniform and decreasing-increasing functionally graded; and the extended mixture model is used to estimate the properties of nano-composite beam. The elastic medium around the smart nano-composite beam is modeled as elastic foundation. The governing equations of equilibrium are derived using energy method and nonlocal elasticity theory; and the critical buckling load is obtained for various boundary conditions such as simply-simply supported (S-S) and clamped-clamped (C-C) using the FEM. The results indicate that with an increase in the geometrical imperfection parameter, the stiffness of nano-composite beam increases and consequently the stability of the system increases. The effect of FG-X distribution type is more than uniform distributions. Also, the critical buckling load of nano-composite beam increases with an increase in the electric field and elastic foundation.
کلیدواژه‌ها [English]
- Nonlinear buckling analysis
- Initial geometrical imperfection
- Various distributions of BNNTs
- Elastic foundation
- Nonlocal elasticity theory
- finite element method
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