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陈镕, 万春风, 薛松涛, 王远功. 无约束修正Timoshenko梁的冲击问题[J]. 力学学报, 2006, 38(2): 262-269. DOI: 10.6052/0459-1879-2006-2-2004-380
引用本文: 陈镕, 万春风, 薛松涛, 王远功. 无约束修正Timoshenko梁的冲击问题[J]. 力学学报, 2006, 38(2): 262-269. DOI: 10.6052/0459-1879-2006-2-2004-380
Impact response of an unrestrained modified Timoshenko beam[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(2): 262-269. DOI: 10.6052/0459-1879-2006-2-2004-380
Citation: Impact response of an unrestrained modified Timoshenko beam[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(2): 262-269. DOI: 10.6052/0459-1879-2006-2-2004-380

无约束修正Timoshenko梁的冲击问题

Impact response of an unrestrained modified Timoshenko beam

  • 摘要: 介绍了修正后的Timoshenko梁运动方程,并比较了修正Timoshenko梁与经典Timoshenko梁的运动方程. 推导了考虑剪切变形引起的转动惯量的修正Timoshenko梁的正交条件,推导了集中质量对无约束修正Timoshenko梁的正碰撞对梁所引起的瞬态冲击响应公式,并用算例进行了分析,且与集中质量对经典的无约束Timoshenko梁的正碰撞对梁所引起的冲击响应进行了比较,另外还用算例分析了梁的刚度的变化和冲击质量比对其冲击响应产生的影响.

     

    Abstract: In this paper, the modified motion equation of Timoshenkobeam is first introduced, which is then compared with that ofTimoshenko beam. The orthogonality conditions of the modifiedTimoshenko beam, where the rotary inertia caused by the shear deformation isconsidered, are derived. The impact response formulas of an unrestrainedmodified Timoshenko beam under the impact of a lumped mass are deduced, andthe corresponding numerical examples are analyzed. The evaluationresults are compared with the impact response of the classical unrestrainedTimoshenko beam with the same lumped mass. Finally, the effects ofthe beam stiffness and impact mass ratio on the response are discussed.

     

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