Mathematical problems of solving direct and inverse problems of mechanics of composite structures are formulated. The problems of strength calculation and optimal design of composite overwrapped pressure vessels are investigated. The solutions of the optimization problem have been recieved and verified by solving the direct problems with obtained design parameters using the classical and improved shell theories. Numerical solutions were obtained using the spline collocation and discrete optimization methods.

中文翻译：

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复合结构计算与优化的数学问题

阐述了解决复合结构力学正反问题的数学问题。研究了复合外包装压力容器的强度计算和优化设计问题。通过使用经典和改进的壳理论求解获得的设计参数直接问题，优化问题的解决方案得到了验证。使用样条配置和离散优化方法获得数值解。