Nonlinear Vibration Analysis of a Cylindrical FGM Shell on a Viscoelastic Foundation under the Action of Lateral and Compressive Axial Loads
محورهای موضوعی : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیک
1 - Assistant Professor of Mechanical and Aerospace Engineering, Ph.D. of Aerospace Engineering, Department of Mechanical Engineering, Parand Branch, Islamic Azad University, Tehran, Iran
کلید واژه: Nonlinear vibration, Viscoelastic foundation, Cylindrical FGM shell, Compressive axial load,
چکیده مقاله :
In this paper, the nonlinear vibration analysis of a thin cylindrical shell made of Functionally Graded Material (FGM) resting on a nonlinear viscoelastic foundation under compressive axial and lateral loads is studied. Nonlinear governing coupled partial differential equations of motions (PDEs) for cylindrical shell are derived using improved Donnell shell theory. The equations of motions (EOMs) then are solved using the Galerkin method, Volmir’s assumption and the forth-order Runge-Kutta method to obtain dynamic response of the shell including nonlinear frequencies, frequency-amplitude curves and nonlinear radial deflection for the shell of revolution. Afterward, the effect of changing the value of different parameters on the nonlinear dynamic response of the FGM cylindrical shell considering compressive axial and lateral loads, geometric characteristics of the shell, FGM material distribution along direction of the thickness of the shell and coefficients of the viscoelastic foundation are all investigated
در این مقاله، تحلیل رفتار ارتعاشی غیرخطی پوسته استوانه‌ای ساخته شده از مواد مدرج تابعی با شرایط مرزی دو سر ساده تحت بارهای محوری فشاری و جانبی بر روی بستر ویسکوالاستیک مورد مطالعه قرار گرفته است. معادلات حاکم بر ارتعاشات غیرخطی پوسته استوانه‌ای بر اساس نظریه اصلاح شده پوسته دانل (Donnell) استخراج شده‌اند. سپس در تحلیل از روش گالرکین , فرض والمیر (Volmir) بهره گرفته شده است. برای حل عددی معادلات دیفرانسیل حاکم از روش رانگ-کوتای مرتبه چهارم با استفاده از نرم افزار MATLAB برای تعیین پاسخ دینامیکی پوسته شامل فرکانس‌های طبیعی خطی و غیرخطی، رابطه فرکانس-دامنه و جابجایی غیرخطی شعاعی پوسته استفاده شده است. اثر تغییر پارامترهای مختلف هندسی و فیزیکی مانند پیش بار محوری فشاری، بار جانبی، خواص ماده و ضرایب بستر ویسکوالاستیک در رفتار دینامیکی پوسته استوانه‌ای مورد بررسی و تحقیق قرار گرفته است
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