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首页> 外文会议>International Conference on Materials and Products Manufacturing Technology >Dynamic Analysis of a Free-free Beam
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Dynamic Analysis of a Free-free Beam

机译：自由梁的动态分析

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摘要

The dynamic problem of a free-free beam with lumped masses distributed along the beam is researched. Effects of magnitude and position of lumped masses on bending mode and natural frequency of a free-free beam is studied. Method of lumped masses proposed in this paper is used to determine dynamic bending curves and natural frequencies. Least square method is used to give function fitting of the bending curves. The dynamic equations of a free-free beam are established by Lagrange method. Numerical simulation for dynamic response of the beam is carried out by MATLAB. The simulation results show that an impulsive load applied on the center of mass of the beam will result in small bending stress. However, a given larger impulsive load acting on one end or two ends of the beam will cause larger bending stress and plastic deformation at a cross-section and result in final failure.
机译：研究了沿着光束分布的小块块的自由梁的动态问题。研究了总幅度和块状质量对自由梁弯曲模式和固有频率的影响。本文提出的集体质量的方法用于确定动态弯曲曲线和自然频率。最小二乘法用于给出弯曲曲线的功能拟合。通过拉格朗日方法建立自由梁的动态方程。 MATLAB执行梁动态响应的数值模拟。仿真结果表明，施加在光束的质心上的冲动负载将导致小的弯曲应力。然而，在梁的一端或两端作用的给定的较大脉冲负载将在横截面上引起更大的弯曲应力和塑性变形，并导致最终失效。

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