非保守力和热载荷作用下FGM梁的稳定性

赵凤群; 王忠民

doi:10.6052/j.issn.1000-4750.2011.01.0018

非保守力和热载荷作用下FGM梁的稳定性

西安理工大学理学院

基金项目: 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)

详细信息

作者简介:
王忠民(1957―)，男，陕西华县人，教授，博士，博导，从事结构动力学研究(E-mail: wangzhongm@xaut.edu.cn).

通讯作者:
赵凤群(1963―)，女，陕西淳化人，教授，博士，从事结构振动与稳定性、微分方程数值解研究(E-mail: zhaofq@xaut.edu.cn).

中图分类号: O343
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- 文章访问数: 318
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出版历程
- 收稿日期: 2011-01-10
- 修回日期: 2011-10-08

STABILITY OF FGM BEAM UNDER ACTION OF NON-CONSERVATIVE FORCE AND THERMAL LOADS

School of Sciences, Xi’an University of Technology

摘要

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。
- FGM梁 /
- 非保守力 /
- 热载荷 /
- 稳定性 /
- WDQ法
Abstract: 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.
- FGM beam /
- non-conservative force /
- thermal load /
- stability /
- WDQ method

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参考文献(13)

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文章访问数: 318
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非保守力和热载荷作用下FGM梁的稳定性

作者简介: 王忠民(1957―)，男，陕西华县人，教授，博士，博导，从事结构动力学研究(E-mail: wangzhongm@xaut.edu.cn).

通讯作者: 赵凤群(1963―)，女，陕西淳化人，教授，博士，从事结构振动与稳定性、微分方程数值解研究(E-mail: zhaofq@xaut.edu.cn).

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STABILITY OF FGM BEAM UNDER ACTION OF NON-CONSERVATIVE FORCE AND THERMAL LOADS

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目录

作者简介:
王忠民(1957―)，男，陕西华县人，教授，博士，博导，从事结构动力学研究(E-mail: wangzhongm@xaut.edu.cn).

通讯作者:
赵凤群(1963―)，女，陕西淳化人，教授，博士，从事结构振动与稳定性、微分方程数值解研究(E-mail: zhaofq@xaut.edu.cn).