正交各向异性矩形板后屈曲行为分析
POSTBUCKL1NG BEHAVIOUR OF ORTHOTROPIC RECTANGULAR PLATES
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摘要: 本文以板最大变形为摄动参数,用摄动法分析了中面双向均压和周边受剪的四边简支的正交各向异性矩形板的后屈曲问题.先将用力函数和挠曲函数表示的von KOrman大变形耦合形式的非线性偏微分方程组简化为一组去偶形式的线性偏微分方程组:再将力函数和挠曲函数表示为双傅氏级数,把线性偏微分方程组化为线性代数方程组,从而获得问题的渐过解.文中对玻璃纤维增强环氧的复合材料矩形板给出了数值结果和图表,讨论了边长比、载荷参数等因素对后屈曲行为的影响.数值结果表明本文级数解有很好的收敛性,并与参考文献进行了比较,很吻合.Abstract: A theoretical analysis is presented for the postbuckling behaviour of simply supported orthotropic rectangular Plates subjected to combinedo in-plane biaxial compression and edge shear,By perturbation technique and selecting the perturbation parrrieter relating to the maximum deflection,the nonlinear coupled partial differential epuations are reduced to a system of uncoupled linear partial differential equations and then salved by using the double Fourier series method.Numerical results are obtained for glass-epoxy composite plates,The effect of aspect ratio and loading parameter on the postbuckling behaviour is illustrated graphically and discussed.The numerical results show a good convergence of the present solution and they are in good agreement with the available data.
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