Fattahi, M., Farhatnia, F., Darvizeh, M. (2008). Buckling Analysis of Orthotropic and Anisotropic Rectangular Plates by GDQ Method. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1(1), 23-34.
Mohsen Fattahi; Fatemeh Farhatnia; Mansour Darvizeh. "Buckling Analysis of Orthotropic and Anisotropic Rectangular Plates by GDQ Method". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1, 1, 2008, 23-34.
Fattahi, M., Farhatnia, F., Darvizeh, M. (2008). 'Buckling Analysis of Orthotropic and Anisotropic Rectangular Plates by GDQ Method', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1(1), pp. 23-34.
Fattahi, M., Farhatnia, F., Darvizeh, M. Buckling Analysis of Orthotropic and Anisotropic Rectangular Plates by GDQ Method. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2008; 1(1): 23-34.
Buckling Analysis of Orthotropic and Anisotropic Rectangular Plates by GDQ Method
1M.Sc., Islamic Azad University, Khomeinishahr Branch
2Assistant Professor, Islamic Azad University, Khomeinishahr Branch
3Professor, Guilan University
Abstract
In this paper, buckling of orthotropic rectangular plates under different loadings was investigated. For this reason, governing buckling equations for an isotropic plate were modified by applying constitutive equations of orthotropic materials. After obtaining the equations of orthotropic plates, Generalized Differential Quadrature method (GDQM) was applied on buckling equations and thus a set of Eigen value equations resulted. In order to solve this Eigen value problem, a computer program was developed using MATLAB software in a way that the influence of different parameters such as length to width ratio (aspect ratio), the number of layers, the angle of layers arrangement, material of layers, kind of loading and boundary conditions were included. A buckling load factor was calculated for simply supported and clamped supported plates. The results of GDQ method were compared with reported results from Rayleigh – Ritz method and with results from solving the Finite element using ANSYS 8.0 software. The comparison showed the accuracy of obtained result clearly.
تحلیل کمانش ورق مستطیلی ارتوتروپیک و غیر ایزوتروپیک به روش مربعات دیفرانسیلی تعمیم یافته ( GDQM )
Authors [Persian]
محسن فتاحی, فاطمه فرهت نیا, منصور درویزه
Abstract [Persian]
در این مقاله، کمانش ورق‌های مستطیلی ارتوتروپیک و غیر ایزوتروپیک تحت توزیع مختلفی از بارگذاری‌های فشاری محوری مورد بررسی قرار گرفته است. بدین منظور ابتدا معادلات حاکم بر کمانش ورق ایزوتروپیک اعمال و سپس با استفاده از روابط مربوط به رفتار مکانیکی مواد مرکب، معادلات حاکم کمانش بر ورق غیر ایزوتروپیک به دست آورده می‌شود. با اعمال روش مربعات دیفرانسیلی تعمیم یافته (GDQM) بر معادلات کمانش تحت شرایط مرزی مورد نظر، یک مجموعه معادلات مقدار ویژه حاصل گردیده که به منظور بدست آوردن ضریب نیروی کمانشی یک برنامه کامپیوتری در نرم افزارMATLAB به نحوی که تأثیر پارامترهایی مانند جنس ورق کامپوزیتی، نسبت طول به عرض ورق، تعداد لایه‌ها، زاویه چیدن لایه‌ها، نوع بارگذاری و شرایط مرزی به صورت تکیه گاه گیردار و ساده در آن لحاظ شده باشد، نوشته شده است. در این تحقیق بارگذاری های متفاوت یکنواخت تک محوری و دو محوری، خطی و سهمی شکل متغیر در راستای طولی و عرضی ورق اعمال شده است. همچنین مقایسه رفتارکمانش برای ورق ارتوتروپیک و غیر ایزوتروپیک نیز صورت گرفته است. نتایج حاصل از روش مربعات دیفرانسیلی تعمیم یافته (GDQM) با نتایج گزارش شده از حل رایلی- ریتز و حل اجزای محدود به کمک نرم افزار ANSYS 8.0 مقایسه و تایید شده است.
Keywords [Persian]
کمانش- ورق ارتوتروپیک- غیر ایزوتروپیک- روش مربعات دیفرانسیلی تعمیم یافته
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