| 各种边界条件下非线弹性梁的自由振动 |
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| 引用本文： | 刘燕,彭建设.各种边界条件下非线弹性梁的自由振动[J].西华师范大学学报(哲学社会科学版),2006,27(3):281-284. |
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| 作者姓名： | 刘燕 彭建设 |
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| 作者单位： | 西华师范大学物理与电子信息学院,四川南充637002 |
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| 摘 要： | 针对各种边界条件下的非线性弹性矩形截面梁，计及轴向静载变形对梁的影响，考虑梁的非线性效应，运用Galerkin原理，对梁进行了研究．得到其非线性弹性自由振动频率解析解，并对轴向静载N和非线性材料参数B对频率响应的影响进行了讨论．
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| 关 键 词： | 非线性 Galerkin原理 静载变形 梁 |
| 文章编号： | 1673-5072（2006）03-0281-04 |
| 收稿时间： | 2006-04-15 |
| 修稿时间： | 2006年4月15日 |
Vibration of Nonlinear Elasticity Beam Under Three Boundary Conditions |
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| LIU Yan,PENG Jian-she.Vibration of Nonlinear Elasticity Beam Under Three Boundary Conditions[J].Journal of China West Normal University:Natural Science Edition,2006,27(3):281-284. |
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| Authors: | LIU Yan PENG Jian-she |
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| Institution: | Department of Physics and Electronic Information, China West Normal University, Nanchong 637002,China |
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| Abstract: | The objective of this paper is to study the vibration of a rectangular beam Under three boundary conditions. Considering the efforts of the physical nonlinearity and static deformation on the dynamic characteristics, using the Galerkin principle, the nonlinear dynamic equation for the unknown function varied only with time and its closed form solution can be obtained. Finally, the efforts of in - line static load and nonlinear elasticity parameter on the frequency are discussed. |
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| Keywords: | nonlinear Galerkin principle static deformation beam |
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