带有可伸展平动附件多柔体簇系统动力学拟变分原理及其应用  

QUASI-VARIATIONAL PRINCIPLES OF FLEXIBLE MULTI-BODY CLUSTER SYSTEM DYNAMICS WITH ANNEX OF EXTENDABLE TRANSLATION AND THEIR APPLICATIONS

作　　者：赵淑红[1] 梁立孚 周平[3] 

机构地区：[1]东北农业大学工程学院,哈尔滨150030 [2]哈尔滨工程大学力学一级学科博士点,哈尔滨150001 [3]黑龙江科技学院机械工程学院,哈尔滨150027

出　　处：《工程力学》2011年第6期29-39,共11页Engineering Mechanics

基　　金：国家自然科学基金项目(10272034);博士点基金项目(20060217020)

摘　　要：应用混合坐标法对多柔体簇系统进行运动学描述,得到附件和根体的动能,建立带有可伸展平动附件多柔体簇系统动力学拟变分原理。应用对合变换,得到两类变量的多柔体簇系统动力学拟变分原理。并推导其拟驻值条件对变分原理进行检验。最后,应用多柔体簇系统动力学拟Hamilton原理的拟驻值条件建立空间飞行器附件振动偏微分方程。Kinematics of a flexible multi-body cluster system is described according to a mixed coordinate method.Kinetic energy of the annex and the root body is obtained.Then the quasi-variational principle of flexible multi-body cluster system dynamics with the annex of an extendable translation is established.Applying involutory transformations,the quasi-variational principle of flexible multi-body cluster system dynamics with two kinds of variables is established.Through the deduction of quasi-stationary value conditions of quasi-variational principles,quasi-variational principles have been tested.Finally,according to the quasi-stationary value condition of a Hamiltonian principle on flexible multi-body cluster system dynamics,the vibration differential equation of annex of spacecraft is established.

关 键 词：多柔体簇系统 动力学 拟变分原理 可伸展平动附件 非保守系统 

分 类 号：V414.5[航空宇航科学与技术—航空宇航推进理论与工程] O176[理学—数学]