关于弹性细杆力学的内约束  

ON THE INTERNAL CONSTRAINT OF THE THIN ELASTIC ROD MECHANICS

作　　者：薛纭[1] 王鹏[2,3] 翁德玮[2,1] 

机构地区：[1]上海应用技术学院机械工程学院,上海201418 [2]上海大学上海市应用数学和力学研究所,上海200072 [3]新疆师范大学物理系,乌鲁木齐830054

出　　处：《动力学与控制学报》2012年第3期209-212,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(10972143)~~

摘　　要：讨论了弹性细杆力学的变形几何方程在静力学建模中的地位和作用,阐明了它与非完整约束的异同;指出了只有满足物理条件的解才是物理上有意义的解.结论对弹性细杆动力学仍然适用.The paper discusses the role＇ and influence of the geometric equation of deformation of elastic rod mechanics in the modeling of statics, and explains similarities and differences between this deformation equation and nonholonomic constraint in analytical dynamics. It is indicated that only the solutions of the equation satisfying the physical conditions of the rod are meaningful. The conclusions are also valid in the condition of. elastic rod dynamics.

关 键 词：弹性细杆力学 变形几何方程 内约束 非完整约束 位形的物理条件 

分 类 号：O343[理学—固体力学]