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VIBRATION ANALYSIS OF SHEAR DEFORMABLE CIRCULAR ARCHES BY THE DIFFERENTIAL QUADRATURE METHOD

机译:剪切正交圆拱的微分正交分析

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The differential quadrature method is applied in the computation of the eigenvalues of the equations of motion governing in-plane and out-of-plane vibration of circular arches, based on the Bresse-Timoshenko beam theory in which both rotatory inertia and shear deformation are taken into account. Fundamental frequencies are calculated for arches of rectangular and circular cross sections under clamped-clamped end conditions and the results are compared with numerical solutions by another method. The present method gives good accuracy with only a limited number of grid points. [References: 12]
机译:基于Bresse-Timoshenko梁理论,在考虑旋转惯性和剪切变形的情况下,微分求积法应用于控制圆形拱的平面内和平面外振动的运动方程的特征值考虑在内。计算在夹紧端部条件下矩形和圆形截面的拱的基本频率,并将结果与​​另一种方法的数值解进行比较。本方法仅在有限数量的网格点上给出了良好的精度。 [参考:12]

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