温度变化对悬索主共振响应影响分析

发布时间：2018-06-06 03:16

本文选题：悬索 + 温度变化　；参考：《振动与冲击》2017年15期

【摘要】：基于增量热场理论,推导考虑均匀温度变化影响下受谐波激励的悬索非线性运动微分方程,利用Galerkin法将方程离散,并对离散后的方程进行线性分析。以悬索主共振响应为例,利用多尺度法求解其高阶近似解及幅频响应方程,通过算例研究温度变化对不同Irvine参数的悬索前四阶模态频率以及幅频响应曲线的影响。研究结果表明:悬索模态振型、频率和主共振响应受温度变化影响明显,且与其Irvine参数密切相关;温度变化有可能定性和定量地改变悬索非线性振动特性,其取决于线性项、平方和立方非线性项系数受温度变化的影响程度;相同程度的升温和降温对悬索振动特性的影响不对称。
[Abstract]:Based on the theory of incremental heat field, the nonlinear differential equations of suspension cable motion with harmonic excitation under the influence of uniform temperature are derived. The equations are discretized by Galerkin method, and the discrete equations are analyzed linearly. Taking the main resonance response of suspension cable as an example, the high-order approximate solution and amplitude frequency response equation are solved by using multi-scale method. The effects of temperature change on the first four order modal frequencies and amplitude-frequency response curves of different Irvine parameters are studied. The results show that the modal mode, the frequency and the main resonance response of the suspension cable are obviously affected by the temperature change and are closely related to its Irvine parameters, and the temperature change may change the nonlinear vibration characteristics of the suspension cable qualitatively and quantitatively, which depends on the linear term. The coefficient of square and cubic nonlinear term is affected by the change of temperature, and the influence of the same degree of heating and cooling on the vibration characteristics of suspension cable is asymmetrical.
【作者单位】：华侨大学土木工程学院;湖南科技大学土木工程学院;湖南大学土木工程学院;
【基金】：国家自然科学基金(11602089;11402085) 福建省自然科学基金青年创新(2016J05011) 福建省中青年教师教育科研项目(JAT160025) 华侨大学高层次人才科研启动费(15BS409)
【分类号】：U441.3

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