An applicable formula for elastic buckling of rectangular plates under biaxial and shear loads

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• 作者：Alireza Jahanpour ; ^{a.jahanpour@malayeru.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; Farhad Roozbahani ^{farhadroozbahani65@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Elastic buckling ; Rectangular plate ; Simply supported ; Rayleigh&ndash ; Ritz method ; Biaxial/shear loads
• 刊名：Aerospace Science and Technology
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：56
• 期：Complete
• 页码：100-111
• 全文大小：4372 K

文摘

As thin plates have relatively big thickness ratios, their elastic buckling usually occurs before the yielding. From beginning of the previous century, many researchers have considered various in-plane loading states on thin plates and have strived to find simple equations to predict the buckling load. However, there are few valid equations with negligible errors for a thin plate, when it is under all of in-plane loads. In this paper, using energy method, an applicable formula is suggested for a simply supported rectangular plate, which is under biaxial and shear loads. The biaxial loads can be applied in the compressive/compressive, compressive/tensile, and tensile/tensile states on the plate. Generally, 15 129 examples are considered for this problem. The aspect ratio of plates varies from 1 to 5 and for each case and with the known load ratios, the plate buckling coefficient is calculated. Then, by using the regression techniques and interpolation, it is tried to estimate a simple equation with minimum error to predict the buckling load. The confirmed results show that for the biaxial compression and shear state, the maximum error is 8% and for the compression–tension–shear and biaxial tension and shear states, it increases until 20%.