移动质量-梁振动的时空有限元法数值分析
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国家重点基础研究发展计划973项目(613116)


Numerical analysis of moving mass-beam vibration with space time finite element method
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    摘要:

    为了获得移动质量沿梁匀速运动的系统动态响应,建立了时空有限元数值求解模型.考虑移动质量惯性项,得到移动质量-梁时变系统的动力学方程.应用时空有限元法.得到了移动集中质量作用下Bernoulli-Euler梁离散单元的质量矩阵、刚度矩阵.与Newmark-β法、Wilson-θ法计算结果进行比较,时空有限无法计算梁的动态响应的精度更高.

    Abstract:

    In order to obtain the dynamic response of a beam subjected to a moving mass, Its numerical model of spacetime finite element method was established. Considering the inertial terms of a travelling mass, the timevaries different equation of beam under a mass was presented by using. the spacetime finite element method. The characteristic matrices of the discrete element of the BernoulliEuler beam carrying concentrated mass like spacetime inertia and stiffness matrices. Numerical examples by comparing with the results the dynamic response of the beam under the moving mass and the Classical time integration schemes like Newmarkβ and Wilsonθ prove the simplicity and efficiency of the method.

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王金福,杨国来,葛建立.移动质量-梁振动的时空有限元法数值分析[J].动力学与控制学报,2012,10(1):58~61; Wang Jinfu, Yang Guolai, Ge Jianli. Numerical analysis of moving mass-beam vibration with space time finite element method[J]. Journal of Dynamics and Control,2012,10(1):58-61.

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  • 在线发布日期: 2012-03-06
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