Abstract

The relations of the mathematical model for studying the stress-strain state of structurally anisotropic panels made of composite materials are given. The mathematical model of the reinforcing element is clarified under conditions of one-sided contact with the skin. The influence of panels manufacturing technology is taken into account: residual temperature stresses and prestressing of reinforcing fibers. Based on the Lagrange variational principle, an eighth-order resolving equation and natural boundary conditions are obtained. A class of exact solutions of boundary value problems is considered. In the MATLAB operating environment, a software package has been developed. The results of the numerical implementation of the solution and the results of field experiments are presented.

中文翻译：

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考虑生产技术的复合材料飞机机板应力应变状态的数学模型和方法

摘要

给出了研究复合材料结构各向异性板应力应变状态的数学模型之间的关系。在一侧与皮肤接触的条件下阐明了增强元件的数学模型。考虑了面板制造技术的影响：残余温度应力和增强纤维的预应力。基于拉格朗日变分原理，得到了一个八阶解析方程和自然边界条件。考虑了一类边值问题的精确解。在MATLAB操作环境中，已经开发了软件包。给出了该解决方案的数值实施结果和现场实验的结果。