用Timoshenko修正理论研究有梯度界面层双材料梁的振动特性
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湖南省“十二五”重点建设学科(机械设计及理论)、湖南省教育厅项目(11A081)


Study on vibration characteristic of Bi-material cantilever beam with graded interface layer by timoshenko beam corrective theory
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    摘要:

    采用Timoshenko梁修正理论研究了有梯度界面层双材料梁的振动问题,利用静力方程确定了有梯度界面层双材料梁的中性轴位置,在此基础上应用Timoshenko梁修正理论建立了有梯度界面层双材料梁的振动方程,求得其自振频率表达式及其在简谐荷载作用下强迫振动的解析解.讨论分析了梯度界面层高度等因素对有梯度界面层双材料梁的振动影响,并用有限元法验证了Timoshenko梁修正理论.通过实例计算,得到了梯度界面层高度等因素对有梯度界面层双材料梁振动特性有较大影响的结论.

    Abstract:

    The vibration characteristic of the bi-material cantilever beam with graded interface layer was studied by Timoshenko beam corrective theory. The neutral axis site of the bi-material cantilever beam with graded interface layer was determined by the static equilibrium equations and the vibration equations of bi-material cantilever beam with graded interface layer were also established by Timoshenko beam corrective theory, the expression for natural frequency of it and the analytical solution for forced vibration of it under the action of harmonic load were obtained. The effect of neutral axis site to vibration characteristic of bi-material cantilever beam with graded interface layer was discussed. Analysis of examples indicates that the height of graded interface layer had more greatly influence on vibration characteristic of bi-material cantilever beam with graded interface layer.

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吴晓,罗佑新,黄翀,杨立军.用Timoshenko修正理论研究有梯度界面层双材料梁的振动特性[J].动力学与控制学报,2013,11(4):369~374; Wu Xiao, Luo Youxin, Huang Chong, Yang Lijun. Study on vibration characteristic of Bi-material cantilever beam with graded interface layer by timoshenko beam corrective theory[J]. Journal of Dynamics and Control,2013,11(4):369-374.

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  • 在线发布日期: 2013-09-18
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