非保守薄壁结构系统的广义拟余Hamilton原理及其应用  

GENERALIZED HAMILTON-TYPE QUASI-COMPLEMENTARY ENERGY PRINCIPLE OF NON-CONSERVATIVE THIN-WALL STRUCTURAL SYSTEM AND ITS APPLICATION

作　　者：梁立孚 刘宗民 刘殿魁[1] 

机构地区：[1]哈尔滨工程大学航天工程系,哈尔滨150001

出　　处：《工程力学》2008年第10期60-65,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(10272034);博士点基金项目(20060217020);哈尔滨工程大学基础研究基金项目(HEUF04003)

摘　　要：采用加零变换法和变积方法,并考虑伴生力特性,建立了适用于非保守薄壁结构系统的广义拟余Hamilton原理。应用该原理解决非保守薄壁结构系统扭转动力学问题,给出同时求解薄壁结构的剪流和转角两类变量的计算方法,最后,讨论了相关的问题。Considering the characters of fellow forces, the generalized Hamilton-type quasi-complementary energy principle, that is applicable to thin-wall structure of non-conservative system, can be obtained adopting the zero-addition transformation method and the variational integral method. Appling this principle to the torsion dynamics problem of non-conservative thin-wall structural system, this paper develops the method that can calculate both the shear force and the rotation simultaneously. Finally some correlative problems are discussed.

关 键 词：非保守系统 拟变分原理 动力学 薄壁结构 伴生力 

分 类 号：V214.4[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]