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复杂载荷环境变厚度功能梯度组合梁镍钛合金钢丝绳非线性减振分析
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Abstract:
本文对弹性边界和热环境下带有镍钛合金钢丝绳(NiTi-ST)的变厚度功能梯度材料组合梁(FGMs)的力学性能和非线性振动控制进行了研究。根据Euler-Bernoulli假设，建立了带有镍钛合金钢丝绳的变厚度功能梯度材料组合梁的能量表达式。基于瑞利–里茨法，求解了弹性边界和热环境下的变厚度功能梯度材料组合梁的固有频率和模态函数。通过有限元法(FEM)和理论结果的比较，验证了理论方法的正确性和收敛性，讨论了梁的厚度参数和环境的温度对系统固有特性的影响。此外，利用拉格朗日方程，推导了系统的动力学方程。应用谐波平衡法求得系统的幅频响应曲线，研究了镍钛合金钢丝绳的非线性减振性能。
In this paper, the mechanical properties and nonlinear vibration control of variable thickness FGMs combined beams with NiTi-ST under elastic boundary and thermal environment are investigated. According to the Euler-Bernoulli hypothesis, the energy expression of the variable thickness FGMs combined beam with NiTi-ST is established. Based on the Rayleigh-Ritz method, the modal function and natural frequency of the variable thickness FGMs combined beams under elastic boundary and thermal environment is solved. The correctness and convergence of the theoretical method are verified by the comparison of FEM and theoretical results, and discussed the influence of thickness parameters and temperature on the natural characteristics of the system. Furthermore, utilizing the Lagrange equation, the dynamics differential equation of the system is obtained. The amplitude-frequency curve of system is solved by the harmonic balance method, and investigated the nonlinear damping performance of the NiTi-ST.
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