瑞利阻尼物理本质及参数对动力响应的影响
发布时间：2019-03-26 13:29
【摘要】：为了研究瑞利阻尼模型的物理意义及模型参数对动力响应的影响,基于虚功方程推导瑞利阻尼的质量相关部分和刚度相关部分,利用解析和数值方法对比分析不同瑞利阻尼系数下的一维黏弹性杆件的动力响应.结果表明,瑞利阻尼质量相关部分反映了外部环境因素对振动体系的能量耗散作用;刚度相关部分反映了材料对动力响应的阻滞作用,表现为应力不仅与应变有关,而且与应变率相关.一维黏弹性振动响应解析解和有限元数值解对比分析表明,常规有限单元软件应力计算时,没有考虑应变率的贡献,导致计算应力和实际应力存在差异,计算应力不满足力边界条件.有限元应力计算误差随着瑞利阻尼系数和激励频率的增加而提高.
[Abstract]:In order to study the physical meaning of Rayleigh damping model and the effect of model parameters on dynamic response, the mass-dependent part and stiffness-dependent part of Rayleigh damping are derived based on the virtual work equation. The dynamic response of one-dimensional viscoelastic rod with different Rayleigh damping coefficients is analyzed by analytical and numerical methods. The results show that the relative parts of Rayleigh damping quality reflect the energy dissipation effect of external environmental factors on the vibration system. The stiffness-dependent part reflects the blocking effect of the material on the dynamic response, which shows that the stress is related not only to the strain but also to the strain rate. The comparative analysis of one-dimensional viscoelastic vibration response analytical solution and finite element numerical solution shows that the contribution of strain rate is not taken into account in the conventional finite element software stress calculation, which leads to the difference between the calculated stress and the actual stress. The calculated stress does not satisfy the force boundary condition. The calculation error of finite element stress increases with the increase of Rayleigh damping coefficient and excitation frequency.
【作者单位】： 浙江大学岩土工程研究所;浙江大学软弱土与环境土工教育部重点实验室;浙江大学城市学院工程学院;浙江大学宁波理工学院土木建筑工程学院;
【基金】：国家“973”重点基础研究发展规划资助项目(2014CB047005) 国家自然科学基金资助项目(51578502,51278451) 国家重点研发计划资助项目(2016YFC0800200) 浙江省自然科学基金面上项目(LY12E08011)
【分类号】：TU311.3
本文编号：2447590
[Abstract]:In order to study the physical meaning of Rayleigh damping model and the effect of model parameters on dynamic response, the mass-dependent part and stiffness-dependent part of Rayleigh damping are derived based on the virtual work equation. The dynamic response of one-dimensional viscoelastic rod with different Rayleigh damping coefficients is analyzed by analytical and numerical methods. The results show that the relative parts of Rayleigh damping quality reflect the energy dissipation effect of external environmental factors on the vibration system. The stiffness-dependent part reflects the blocking effect of the material on the dynamic response, which shows that the stress is related not only to the strain but also to the strain rate. The comparative analysis of one-dimensional viscoelastic vibration response analytical solution and finite element numerical solution shows that the contribution of strain rate is not taken into account in the conventional finite element software stress calculation, which leads to the difference between the calculated stress and the actual stress. The calculated stress does not satisfy the force boundary condition. The calculation error of finite element stress increases with the increase of Rayleigh damping coefficient and excitation frequency.
【作者单位】： 浙江大学岩土工程研究所;浙江大学软弱土与环境土工教育部重点实验室;浙江大学城市学院工程学院;浙江大学宁波理工学院土木建筑工程学院;
【基金】：国家“973”重点基础研究发展规划资助项目(2014CB047005) 国家自然科学基金资助项目(51578502,51278451) 国家重点研发计划资助项目(2016YFC0800200) 浙江省自然科学基金面上项目(LY12E08011)
【分类号】：TU311.3
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