摘要
研究温度场下带集中质量的柔性梁系统的动力学问题。考虑几何非线性,在纵向变形与轴向伸长的关系式中计及了与横向变形有关的二次耦合项。考虑温度变化对系统动力学性态的影响,在本构关系式中计及了热应变。用假设模态法对各柔性梁进行离散,从虚功原理出发,根据各柔性梁之间的运动学约束关系,建立了带集中质量的柔性梁系统的动力学方程。仿真结果表明,即使在转速较低的情况下,随着集中质量的增大和温度的急剧变化,纵向变形的二次耦合项的影响不容忽视,此外,温度的变化还引起轴向变形和轴向约束力高频振荡。
Dynamics of flexible beam systems in temperature field is investigated in this paper. Considering geometric nonlinearity, the second order coupling deformation terms are included in the relationship between the longitudinal deformation and axial stretch. Considering the thermal effect, the thermal strain is included in the constitutive equations. Assumed mode approach is employed for the discretization of the flexible beam system. Based on virtual work principle and kinematic constraint equations, the equations of motion of flexible beam systems with a lumped mass are derived. It is shown that in case of significant increase of the lumped mass and sudden variation of temperature, the second order coupling deformation terms can not be neglected, even if the rotating velocity is small. Furthermore, the temperature change may result in high frequency vibrations of the axial deformation and axial constraint force of the beam.
出处
《振动工程学报》
EI
CSCD
北大核心
2006年第4期469-474,共6页
Journal of Vibration Engineering
基金
国家自然科学基金资助项目(10472066
10372057)
国家教委回国人员基金
关键词
温度场
集中质量
柔性梁系统
几何非线性
动力学
temperature field
lumped mass
flexible beam systems
geometric nonlinearity
dynamics
