磁场中旋转圆板的磁弹性行波动力学分析

发布时间：2018-02-02 18:37

本文关键词： 行波动力学导电圆板磁弹性旋转运动　出处：《振动工程学报》2017年01期 　论文类型：期刊论文

【摘要】：研究磁场作用下导电旋转圆形薄板的行波动力学特性问题。根据哈密顿原理推导出磁场作用下旋转运动圆板的磁弹性振动控制方程,根据边界条件设定行波特性振型函数,应用伽辽金积分得到了行波动力学特征方程。通过算例分析旋转运动圆板在磁场作用下的前、后行波振动频率变化和各阶模态的临界转速与振动失稳问题,并得到了圆形薄板临界转速对应各阶模态的变化规律,分析了不同磁场强度对各阶模态振动频率的影响曲线和不同振动模态阻尼的变化曲线,以及相同磁场作用下旋转圆板厚度变化对振动频率和临界转速的影响曲线。结果表明:磁场、转速、板厚等参数对旋转圆板的行波振动有显著影响。
[Abstract]:The dynamic characteristics of traveling wave of a rotating circular plate under magnetic field are studied. According to the Hamiltonian principle, the governing equation of magnetoelastic vibration of a circular plate with rotating motion under magnetic field is derived. According to the boundary condition, the traveling wave characteristic mode function is set up, and the travelling wave dynamic characteristic equation is obtained by using Galerkin integral, and the front of rotating circular plate under the action of magnetic field is analyzed by an example. The variation of the frequency of the post-traveling wave and the critical speed and vibration instability of each mode are discussed, and the variation law of the critical speed of the circular thin plate corresponding to the modes of each order is obtained. The influence curve of different magnetic field intensity on the vibration frequency of different modes and the variation curve of damping of different vibration modes are analyzed. The results show that the parameters of magnetic field, rotating speed and plate thickness have significant influence on the traveling wave vibration of rotating circular plate.
【作者单位】：燕山大学建筑工程与力学学院;河北省重型装备与大型结构力学可靠性重点实验室(燕山大学);
【基金】：国家自然科学基金资助项目(11472239) 河北省自然科学基金资助项目(A2015203023) 河北省高等学校科学技术研究重点资助项目(ZD20131055)
【分类号】：O327;O441.2
【正文快照】： 引言在实际工程中,旋转运动和电磁结构在土木、机械以及航空航天等众多领域的高端设备与运动结构中广泛存在。在磁场作用下的磁弹性结构,因受机械场和电磁场等多种因素的作用,通常会引发较为明显的振动现象,从而也会对系统的正常稳定运行产生影响。所以,加强对电磁场条件下旋

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