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The paper proposes an approach to solving a spatial stress problem for solid circular cylinders under axisymmetric surface loading. Two types of boundary conditions at the ends are examined: simply supported or clamped. The circumferential variable is separated using Fourier series for the former type of boundary conditions, and spline-approximation in longitudinal coordinate is used for the latter type of boundary conditions. The resulting one-dimensional problems are solved by the stable discrete-orthogonalization method, evaluating indeterminate forms on the cylinder axis in the governing equations. Radial displacements and circumferential and longitudinal stresses are plotted __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 6, pp. 24–31, June 2006.  相似文献
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In the present work, the propagation of longitudinal stress waves is investigated with a strain gradient elasticity theory given by Lam et al. In principle, the analysis of wave motion is based on the Love rod model including the lateral deformation effects, but in the same time is also taken into account the shear strain effects with Bishopʼs correction. By applying Hamiltonʼs principle, a general explicit strain gradient elasticity solution is developed for the longitudinal stress waves, and it is compared with the special solutions based on the modified couple stress and classical theories. This work gives useful information with regard to the meaning of the three scale parameters in the strain gradient elasticity theory used here.  相似文献
3.
基于能量变分原理,拟定轴向荷载作用下箱梁的纵向位移函数,得到关于翼板剪切变形引起的位移差函数的基本微分方程,继而推导出箱梁翼板纵向应力表达式,并首次得出角隅轴向荷载作用下翼板出现应力不均匀分布的荷载及边界条件。通过对一模型箱梁进行计算,并与通用有限元软件ANSYS壳单元计算结果进行比较,验证了该方法和所推导公式的正确性。研究结果表明,当作用于简支箱梁截面角隅处的轴向荷载(合力无偏心)为集中或分布荷载时,翼板不产生纵向应力不均匀现象;当作用于悬臂箱梁截面角隅处的轴向荷载(合力无偏心)为集中荷载时,翼板不产生纵向应力不均匀现象,而当荷载轴向分布时,翼板将产生纵向应力不均匀现象。实际工程中,横力弯曲使悬臂箱梁产生剪力滞效应,这种效应会与轴向分布荷载产生的效应叠加,设计时对此应予以充分考虑。  相似文献
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为研究钢桁腹式混凝土组合箱梁翼板纵向应力沿横桥向的分布情况,运用有限元软件ANSYS建立一座35 m等截面简支钢桁腹式混凝土组合箱梁的有限元模型,考虑斜向腹杆杆力作用会使翼板产生附加轴力及相应的附加应力,故利用能量变分法原理推导出组合箱梁的翼板纵向弯曲应力和纵向附加应力计算公式,并据此探讨适用于计算组合箱梁的翼板纵向应力的方法。将有限元值和理论值进行比较,吻合程度良好。研究结果表明,组合箱梁的下翼板纵向应力可采用纵向弯曲应力计算公式进行计算;为获得组合箱梁的翼板附加轴力,可将组合箱梁的钢桁腹杆和混凝土纵梁取出,认为两者通过节点构造共同构成平面桁架,翼板附加轴力即为平面桁架的弦杆杆力;组合箱梁的上翼板纵向应力可通过纵向弯曲应力和经修正的纵向附加应力叠加获得。  相似文献
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