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Fule Li Kaimei Huang 《高等学校计算数学学报(英文版)》2007,16(3):233-252
In this paper,the numerical approximation of a Timoshenko beam with bound- ary feedback is considered.We derived a linearized three-level difference scheme on uniform meshes by the method of reduction of order for a Timoshenko beam with boundary feedback.It is proved that the scheme is uniquely solvable,unconditionally stable and second order convergent in L_∞norm by using the discrete energy method. A numerical example is presented to verify the theoretical results. 相似文献
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In this article, a Timoshenko beam with tip body and boundary damping is considered. A linearized three-level difference scheme of the Timoshenko beam equations on uniform meshes is derived by the method of reduction of order. The unique solvability, unconditional stability and convergence of the difference scheme are proved. The convergence order in maximum norm is of order two in both space and time. A numerical example is presented to demonstrate the theoretical results. 相似文献
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本文简略介绍了梁的理论从提出到发展成熟的过程。简要叙述了伽利略、马略特、胡克、伯努利、帕朗、纳维以及铁摩辛科等学者的工作。并且提出一些近代关于梁的研究问题。 相似文献
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讨论了材料力学经典梁理论与考虑横向剪切变形的铁摩辛柯梁理论分析接触问题的精度. 通
过计入横向拉压变形效应改进铁摩辛柯梁理论, 获得了与完全三维分析吻合很好的结果. 对
于细长梁, 如果仅计算提起段高度, 经典梁理论已经有足够的精度; 如果计算悬空段长度,
需要采用铁摩辛柯梁理论; 如果计算接触应力, 则需要考虑横向剪切和拉压变形效应, 采用
修正的铁摩辛柯梁理论. 相似文献
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铁摩辛柯基础梁的解析解和广义克雷洛夫函数 总被引:2,自引:1,他引:2
河南省自然科学基金项目(984070700)资助摘要 定义并讨论了一类广义克雷洛夫函数,给出了用该函数表示的弹性地基上铁摩辛柯梁的解析解 相似文献
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