| 非均匀地基上自由梁的刚体模态分析 |
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| 引用本文： | 张望喜,易伟建,谢小安,陈友坤.非均匀地基上自由梁的刚体模态分析[J].动力学与控制学报,2007,5(4):355-360. |
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| 作者姓名： | 张望喜 易伟建 谢小安 陈友坤 |
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| 作者单位： | 湖南大学土木工程学院,长沙,410082 |
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| 基金项目： | 国家自然科学基金(50378034/E0807)，国家”985工程”资助项目~~ |
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| 摘 要： | 非均匀单参数(Winkler)地基和双参数(Pasternak)地基上自由梁的刚体模态与梁体—土体间的相互作用有关,当约束或支承不影响梁的平动和转动时,相应的刚体模态则会出现.刚体模态的频率和振型随的地基的不均匀性和基床系数的变化而变化.基于哈密顿原理和变化运算,获得了考虑周围土体支承影响的双参数地基梁振动特性,并分析了不均匀地基上自由梁的广义刚体模态频率及其随地基不均性的变化规律.
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| 关 键 词： | 双参数地基 自由梁 刚体模态 不均匀性 |
| 收稿时间： | 2007-05-10 |
| 修稿时间： | 2007-06-06 |
Analysis on rigid modal of free beam on inhomogeneity foundation |
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| Zhang Wangxi,Yi Weijian,Xie Xiaoan and Chen Youkun.Analysis on rigid modal of free beam on inhomogeneity foundation[J].Journal of Dynamics and Control,2007,5(4):355-360. |
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| Authors: | Zhang Wangxi Yi Weijian Xie Xiaoan and Chen Youkun |
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| Abstract: | The rigid modal of free beam on inhomogeneous Winkler foundation or double-parameter foundation relates to the interaction between beam and soil.When there is no constraint or the existent constraints don't influence beam's translation or rotation,the corresponding rigid modal will occur.In order to consider the effect of soil under and around the beam,double-parameter foundation model was introduced.Based on Hamilton principle and calculus of variation,the vibration equation of beam on double-parameter foundation was deduced,and the variable regularity of modal frequency and modal shape with the inhomogeneous foundation were analyzed. |
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| Keywords: | double-parameter foundation free beam rigid modal inhomogeneity |
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