Abstract

Based on the layer-by-layer analysis approach, the construction of a model of two types of finite elements (FE) of natural curvature (two-dimensional FE of the momentary bearing layers and three-dimensional FE of the filler) is considered for refined investigation of the stress-strain state (SSS) in layers of three-layer generally irregular shells of revolution of double curvature.The presented model-building algorithm allows one to avoid errors due to the discontinuity of generalized displacements on the docking surfaces of the FE of the bearing layers and the aggregate, to analyze the SSS for all three coordinates to which the shell is assigned, and to obtain a solution in an updated statement for various shell shapes and boundary conditions of the layers, as well as violations of their continuity. At the same time, the aggregate layer can be modeled in thickness by the required number of finite elements, which allows one to take into account the change in geometric characteristics, physical and mechanical properties, and SSS parameters not only in the meridional and circumferential coordinates, but also in the thickness of the shell and aggregate layer.The proposed approach significantly expands the range of problems solved in the refined formulation and allows us to carry out the calculation with a high degree of accuracy and detail. As an example, the calculation of the SSS of a three-layer animated casing with cut-outs is given. The influence of the size of the cut-outs on the stress – strain state in the layers of the three-layer shell of rotation of double curvature is studied.

中文翻译：

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三层不规则双曲率旋转壳体应力应变状态的逐层分析模型

摘要

基于逐层分析方法，考虑为自然曲率的两种类型的有限元（FE）模型（瞬时轴承层的二维FE和填充物的三维FE）的模型构建。对三层通常不规则的双曲率旋转壳的各层中的应力-应变状态（SSS）进行了精确的研究。提出的模型构建算法可以避免由于对接面的广义位移的不连续性而引起的误差轴承层和骨料的有限元分析，以分析分配壳的所有三个坐标的SSS，并在更新的语句中获得解决方案，以解决层的各种壳形状和边界条件以及违反它们的情况连续性。同时，骨料层的厚度可以通过所需数量的有限元建模，这使人们不仅可以在子午线和周向坐标中，而且还可以在几何学特性，物理和机械特性以及SSS参数的变化上进行考虑。所提出的方法极大地扩展了精制配方中要解决的问题的范围，并使我们能够进行高精度和细致的计算。例如，给出了一个带有切口的三层动画外壳的SSS计算。研究了切口尺寸对双曲率三层旋转壳各层应力-应变状态的影响。该方法不仅可以在子午线和周向坐标中考虑几何特性，物理和机械特性以及SSS参数的变化，而且还可以考虑壳层和骨料层的厚度变化。精制配方中解决的问题，使我们能够高度精确和详细地进行计算。例如，给出了带有切口的三层动画外壳的SSS计算。研究了切口尺寸对双曲率三层旋转壳各层应力-应变状态的影响。该方法不仅可以在子午线和周向坐标中考虑几何特性，物理和机械特性以及SSS参数的变化，而且还可以考虑壳层和骨料层的厚度变化。精制配方中解决的问题，使我们能够高度精确和详细地进行计算。例如，给出了带有切口的三层动画外壳的SSS计算。研究了切口尺寸对双曲率三层旋转壳各层应力-应变状态的影响。和SSS参数不仅在子午线和圆周坐标上，而且在壳层和骨料层的厚度上也是如此。所提出的方法极大地扩展了精制配方中要解决的问题的范围，并使我们能够高度地进行计算准确性和细节。例如，给出了带有切口的三层动画外壳的SSS计算。研究了切口尺寸对双曲率三层旋转壳各层应力-应变状态的影响。和SSS参数不仅在子午线和圆周坐标上，而且在壳层和骨料层的厚度上也是如此。所提出的方法极大地扩展了精制配方中要解决的问题的范围，并使我们能够高度地进行计算准确性和细节。例如，给出了带有切口的三层动画外壳的SSS计算。研究了切口尺寸对双曲率三层旋转壳各层应力-应变状态的影响。给出了带切口的三层动画套管的SSS计算。研究了切口尺寸对双曲率三层旋转壳各层应力-应变状态的影响。给出了带有切口的三层动画套管的SSS计算。研究了切口尺寸对双曲率三层旋转壳各层应力-应变状态的影响。