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首页> 外文期刊>International journal of structural stability and dynamics >ANALYSIS OF NONLINEAR MAGNETOELASTIC DYNAMICS AND STABILITY OF CONDUCTIVE CYLINDRICAL SHELLS
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ANALYSIS OF NONLINEAR MAGNETOELASTIC DYNAMICS AND STABILITY OF CONDUCTIVE CYLINDRICAL SHELLS

机译：导电圆柱壳的非线性磁弹性动力学和稳定性分析

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摘要

The nonlinear magnetoelastic vibration equations and electromagnetic field equations of a conductive thin cylindrical shell in magnetic fields are derived. The nonlinear principal resonances and dynamic stabilities of the cylindrical shell simply supported in a transverse magnetic field are investigated. Approximate analytical solution and bifurcation equations of the system with principal resonances are obtained by using the method of multiple scales. The stabilities and singularities of the steady-state solutions are analyzed and the stability criterion is given. The transition sets and bifurcation figures of unfolding parameters are also obtained. The variations of the resonance amplitudes with respect to the detuning parameter, the magnetic induction intensity, and the amplitude of excitations are presented. The corresponding phase trajectories in moving phase planes are given. The stabilities of solutions, characteristics of singular points, and bifurcation are analyzed. The impacts of electromagnetic and mechanical parameters on dynamic behaviors are discussed in detail.
机译：推导了导电薄圆柱壳在磁场中的非线性磁弹性振动方程和电磁场方程。研究了简单支撑在横向磁场中的圆柱壳的非线性主共振和动态稳定性。采用多尺度法，得到了具有主共振的系统的近似解析解和分叉方程。分析了稳态解的稳定性和奇异性，并给出了稳定性判据。还获得了展开参数的过渡集和分叉图。给出了谐振幅度相对于失谐参数，磁感应强度和激励幅度的变化。给出了运动相平面中的相应相轨迹。分析了解的稳定性，奇异点的特征和分叉。详细讨论了电磁和机械参数对动态行为的影响。

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