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BUCKLING OF PRISMATIC AND NON-PRISMATIC COLUMNS USING DIFFERENTIAL QUADRATURE METHOD

机译:微分求积法求主棱柱和非主棱柱的屈曲

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Differential Quadrature (DQ) is a numerical method for evaluating derivatives of a sufficiently smooth function. Of the various numerical solutions, differential quadrature (DQ) method has distinguished itself because of its high accuracy, straightforward implementation and generality in a variety of problems. In this paper differential quadrature method is used to solve buckling problem of column. Critical buckling load is obtained for prismatic and non-prismatic column and various boundary conditions are applied. The obtained critical buckling load is compared with exact solution. Equally spaced and Chepeshev-Gauss-Lobatto grid points are chosen to show the effect of the grid points on the solution, also the effect of the number of grid points on the solution is studied. Direct substitution method is used to implement various boundary conditions. A treatment of clamped - free boundary conditions is shown where modified weighting coefficients formula is driven. Also the effect of the non-prismatic constant on the buckling load is studied.
机译:微分正交(DQ)是一种用于评估足够平滑函数的导数的数值方法。在各种数值解决方案中,微分正交(DQ)方法因其高精度,直接实现和在各种问题中的通用性而脱颖而出。本文采用微分求积法求解柱的屈曲问题。棱柱和非棱柱获得了临界屈曲载荷,并应用了各种边界条件。将获得的临界屈曲载荷与精确解进行比较。选择等距的网格点和Chepeshev-Gauss-Lobatto网格点以显示网格点对解的影响,并研究网格点数目对解的影响。直接替换方法用于实现各种边界条件。图中显示了一种钳位-自由边界条件的处理方法,其中驱动了修改的加权系数公式。还研究了非棱镜常数对屈曲载荷的影响。

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