摘要
研究了轴向运动梁的耦合热弹稳定性。根据轴向运动梁的运动微分方程和考虑变形影响时的热传导方程,得出了温度场和变形场耦合情况下梁的耦合热弹运动微分方程。对两端简支轴向运动梁耦合热弹振动的复频率进行了数值计算,得出了无量纲复频率与无量纲运动速度之间的关系曲线。分析了无量纲热弹耦合因子、无量纲运动速度和梁的长高比对梁的临界速度和稳定性的影响。
The coupled thermoelstic stability of the axially moving beam are investigated. The differential equation of motion of the axially moving beam under the thermoelastic coupling is established based to the equilibrium equation and the thermal conduction equation involving deformation term. The dimensionless complex frequencies of the axially moving beam with simply supported under the coupled thermoelastic case are calculated by the differential quadrature method,and the curves of the real parts and imaginary parts of the first three-order dimensionless complex frequencies vs. the dimensionless axially moving speed are obtained. The effects of the dimensionless coupled thermoelastic factor,the ratio of length to height,the dimensionless moving speed on the critical moving speed and the stability of the beam are analyzed.
出处
《机械设计与制造》
北大核心
2009年第8期228-229,共2页
Machinery Design & Manufacture
基金
宝鸡文理学院中青年科研计划项目(ZK2563)
关键词
轴向运动梁
热传导方程
耦合热弹
微分求积法
Axially moving beam
Thermal conduction equation
Thermoelastic coupling
Differential auadrature method
