受约束的广义Birkhoff系统的平衡稳定性  

Stability of equilibrium for the generalized Birkhoffian system with constrains

作　　者：王嘉航[1] 张毅[1] 

机构地区：[1]苏州科技学院土木工程学院,江苏苏州215011

出　　处：《苏州科技学院学报（自然科学版）》2014年第4期10-14,共5页Journal of Suzhou University of Science and Technology （Natural Science Edition）

基　　金：国家自然科学基金资助项目(10972151;11272227)

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。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.

关 键 词：广义BIRKHOFF系统 平衡稳定性 一次近似法 直接法 

分 类 号：O316[理学—一般力学与力学基础]