对称层板的一种解法
STRESS ANALYSIS OF SYMMETRICAL LAMINATS
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摘要: 复合材料多层粘合板, 当它在几何上及弹性上都具有对中面的对称性时, 就不要考虑面内应力与弯、扭应力的耦合效应。这时, 其分析方法与均质各向异性板的分析方法相同。但必须考虑横向剪切变形的影响, 本文提出从设定横向剪切应力的分布出发, 导出一种解法。算例说明这种方法的精度较好。Abstract: A theory of bending for the symmetrical laminated plates is derived. The distribution of transverse shear stresses is assumed and then the model of displacements is developed. By solving the governing equations in terms of displacement components, we can get dispalacements and stresses for a symmetrically laminated orthotropic plates.Numerical examples show good accuracy of the approach presented by comparing the results from the exact theory of elasticity.