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Discontinuities of Displacements at the Junction of Two Half-Strips with Different Boundary Conditions on Their Sides

机译:两侧具有不同边界条件的两个半带交界处的位移不连续性

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In this paper we propose a method to solve mixed boundary value problems in the theory of elasticity in an infinite horizontal strip, in which there are two points of change of the type of boundary conditions located on the upper and lower sides of the strip and lying at the ends of a vertical segment - the junction line of the left and right half-strips. The solutions to the right and left of the junction line are represented as series in eigenfunctions corresponding to certain boundary conditions on the horizontal sides of the right and left half-strips. At the junction of the half-strips, we can specify the conditions for the continuity of the solution, or, conversely, discontinuities of displacements or stresses. We consider the following examples: 1) a discontinuity of the longitudinal displacements is given at the junction of the halfstrips; 2) a discontinuity of the transverse displacements is given at the junction.
机译:在本文中,我们提出了一种解决无限水平带弹性理论中混合边值问题的方法,该方法在带的上,下侧和平躺的边界条件类型上有两个变化点在垂直线段的末端-左右半条的交界线。在对应于左右半条水平线上某些边界条件的本征函数中,将结线左右的解表示为级数。在半带的交点处,我们可以指定解连续性的条件,或者相反地,指定位移或应力的不连续性的条件。我们考虑以下示例:1)在半带的交界处给出了纵向位移的不连续性; 2)在连接处给出了横向位移的不连续性。

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