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DETERMINATION OF THE STRESSED STATE OF RECTANGULAR ANISOTROPIC PLATES IN THE SPACE STATEMENT

机译:确定空间状态中矩形各向异性板的应力状态

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摘要

We consider the problem of the stress-strain state of rectangular anisotropic plates in the space statement for one plane of elastic symmetry. The initial problem is described by a system of three partial differential equations of the second order. After separating variables and by using the spline-collocation method in two coordinate directions, we reduce the problem to a system of ordinary differential equations of high order with boundary conditions on edges. The obtained boundary-value problem is solved by the stable discrete-orthogonalization method. Results for the cases of rigid attachment and hinged support and for different geometries of plates are presented.
机译:我们在一个弹性对称平面的空间陈述中考虑了矩形各向异性板的应力-应变状态问题。最初的问题由一个二阶三个偏微分方程组组成。在分离变量并在两个坐标方向上使用样条并置方法之后,我们将问题简化为带边界条件的高阶常微分方程组。通过稳定的离散正交化方法解决了所获得的边值问题。给出了刚性连接和铰接支撑情况以及板的不同几何形状的结果。

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  • 来源
    《Journal of Mathematical Sciences》 |2012年第6期|699-707|共9页
  • 作者单位

    Timoshenko Institute of Mechanics, Ukrainian National Academy of Science of Ukraine, Kiev, Ukraine;

    Timoshenko Institute of Mechanics, Ukrainian National Academy of Science of Ukraine, Kiev, Ukraine;

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  • 正文语种 eng
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