| 受约束的广义Birkhoff系统的平衡稳定性 |
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| 引用本文： | 王嘉航,张毅.受约束的广义Birkhoff系统的平衡稳定性[J].铁道师院学报,2014(4):10-14. |
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| 作者姓名： | 王嘉航 张毅 |
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| 作者单位： | 苏州科技学院土木工程学院,江苏苏州215011 |
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| 基金项目： | 国家自然科学基金资助项目（10972151;11272227） |
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| 摘 要： | 建立了受约束的广义Birkhoff系统的运动方程,求出系统的平衡位置,并在平衡位置处建立受约束的广义Birkhoff系统的受扰运动方程,根据Lyapnnov一次近似理论和直接法来判定受约束的广义Birkhoff系统的平衡稳定性。举例说明它的应用。
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| 关 键 词： | 广义Birkhoff系统 平衡稳定性 一次近似法 直接法 |
Stability of equilibrium for the generalized Birkhoffian system with constrains |
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| WANG Jiahang,ZHANG Yi.Stability of equilibrium for the generalized Birkhoffian system with constrains[J].Journal of Suzhou Railway Teachers College(Natural Science Edition),2014(4):10-14. |
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| Authors: | WANG Jiahang ZHANG Yi |
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| Institution: | (College of Civil Engineering, SUST, Suzhou 215011, China) |
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| Abstract: | The equations of motion for a generalized Birkhoffian system with constrains are established. The e-quilibrium position is found, and at the equilibrium position, the disturbed equations of motion for the constrained generalized Birkhoffian system are established. Based on Lyapnnov＇s first approximation theory and direct method, the stability of equilibrium for the system under study is decided. Finally, we have illustrated the appli-cation of the results. |
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| Keywords: | generalized Birkhoffian system stability of equilibrium first approximation theory direct method |
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