Nonlinear Analysis of Curved Composite Panels Subjected to Combined Temperature Gradient and Mechanical Loads

A. Noor, J. Peters
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Abstract

The results of a detailed study of the effect of cutout on the nonlinear response of curved unstiffened panels are presented. The panels are subjected to combined temperature gradient through-the-thickness combined with pressure loading and edge shortening or edge shear. The analysis is based on a first-order shear-deformation Sanders-Budiansky type shell theory with the effects of large displacements, moderate rotations, transverse shear deformation and laminated anisotropic material behavior included. A mixed formulation is used with the fundamental unknowns consisting of the generalized displacements and the stress resultants of the panel. The nonlinear displacements, strain energy, principal strains, transverse shear stresses, transverse shear strain energy density, and their hierarchical sensitivity coefficients are evaluated. The hierarchical sensitivity coefficients measure the sensitivity of the nonlinear response to variations in the panel parameters, as well as in the material properties of the individual layers. Numerical results are presented for cylindrical panels and show the effects of variations in the loading and the size of the cutout on the global and local response quantities and their sensitivity to changes in the various panel, layer and micromechanical parameters.
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复合材料弯曲板在温度梯度和机械载荷作用下的非线性分析
本文给出了切口对弯曲无加筋板非线性响应影响的详细研究结果。面板承受贯穿厚度的温度梯度、压力载荷和边缘缩短或边缘剪切的组合作用。该分析基于一阶剪切变形的Sanders-Budiansky型壳体理论,考虑了大位移、中等旋转、横向剪切变形和层状各向异性材料行为的影响。采用混合公式,基本未知量由面板的广义位移和应力结果组成。计算了非线性位移、应变能、主应变、横向剪切应力、横向剪切应变能密度及其层次敏感系数。层次灵敏度系数测量了非线性响应对面板参数变化的灵敏度,以及各层材料特性的灵敏度。给出了圆柱板的数值结果,并显示了载荷和切口尺寸的变化对整体和局部响应量的影响,以及它们对各种板、层和微力学参数变化的敏感性。
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