复合材料叠层板在侧向载荷与平面载荷联合作用下的非线性弯曲

NONLINEAR BEHAVIOUR OF LAMINATED COMPOSITE PLATES UNDER COMBINED LATERAL AND IN-PLANE LOADINGS

  • 摘要: 本文研究了具有任意叠层形式的复合材料矩形平板在均匀侧压与平面载荷联合作用下的非线性弯曲特性。板的基本方程归结为一对互相偶合的四阶偏微分方程,将基本变量——板的挠度函数和力函数分别表示成梁的某种振形函数的级数后,基本方程转化为非线性代数方程组。本文的研究重点是作用剪力方向与板件弯曲特性的关系,并对一系列具有不同参数的板件进行了数值计算。结果表明,作用剪力方向对叠层板的弯曲性状可产生明显的影响。

     

    Abstract: The present paper investigates nonlinear behavior of arbitrary layered compolite rectangular plates under combined uniform lateral and in-plane loading.Governing equations of the plates are referred as a pair of coupled partial differential equations of fourth order. After the basic variables,deflection function and force function,are both represented in the form of series of certain beam characteristic functions,the overninn equations are reduced to a set of nonlinear algebraic equations.The emphasis of the present investigation is put on the effect of the direction of applied shear on the bending beh aviour of the plates.

     

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