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Numerical Algorithms for the Rotary Inertia Calculation in Dynamic Problems of Perfect Plastic Membranes and Shallow Membrane Shells Under High-intensity Loading

机译:高强度负荷下完美塑料膜和浅膜壳动态问题旋转惯性计算的数值算法

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The paper addresses the problem of plastic deformation of circular membranes and shallow axisymmetric membrane shells under high-intensity loading considering rotary inertia. The resolving equations systems are obtained, the numerical implementation program and algorithms are developed. The research methods used in the paper include finite difference method, differential-incremental method of the second and fourth orders of accuracy, the Fourier series solutions with Bessel functions. The results are obtained confirming reasonability of considering rotary inertia.
机译:考虑旋转惯性,纸张介绍了高强度负荷下圆形膜和浅轴对称膜壳的塑性变形问题。获得了解析方程式系统,开发了数值实现程序和算法。本文中使用的研究方法包括有限差分法,二次和第四准确度的差分增量方法,具有贝塞尔功能的傅里叶串联解决方案。获得了考虑旋转惯性的合理性的结果。

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