摘要
研究了在热载荷和切向均布随从力作用下FGM梁的稳定性问题。假设材料常数(即弹性模量和密度)随温度及沿截面高度连续变化,且材料常数按各材料的体积分数以幂率变化,温度分布满足一维热传导方程,计算了不同梯度指标和不同温度下FGM梁的弹性模量随截面高度变化情况。基于Euler-Bernoulli梁理论,建立梁的控制微分方程,用小波微分求积法(WDQ法)求解,分析了梯度指标、温度、随从力等参数对简支FGM梁振动特性与稳定性的影响。
The stability of a FGM beam under the action of thermal loads and a uniformly distributed tangential follower force is analyzed.The material properties（Young’s modulus and mass density） of the beam are assumed to be varied continuously through the height direction according to a simple power-law distribution in terms of volume fraction of material constituents,and to be temperature-dependent.The temperature distribution of FGMs is assumed to be varied through the height direction following a one-dimensional steady-state heat conduction equation.The variation of Young’s modulus along the thickness of the beam for different values of graded index and temperature are calculated.The governing differential equations built on Euler-Bernoulli beam theory for the FGM beam are solved by using a WDQ method.The effect of the graded index,temperature,and follower force on vibration behaviors and stability of a simple supported non-conservative FGM beam are discussed.
出处
《工程力学》
EI
CSCD
北大核心
2012年第10期40-45,共6页
Engineering Mechanics
基金
陕西省教育厅科学研究计划项目(11JK0524)
西安理工大学高学历人员科研启动项目(108-210805)
陕西省自然科学基金项目(2011JM1013)
关键词
FGM梁
非保守力
热载荷
稳定性
WDQ法
FGM beam
non-conservative force
thermal load
stability
WDQ method
