A New Satic Mechanics Model to Solve Contact Problems in Mechanical Systems
-
摘要: 从机械系统的角度出发，描述了系统中构件间局部接触与构件弹性变形间的耦合关系;用多组坐标系描述机械系统中物体的位形;用分离接触边界法描述物体接触边界间的约束；通过接触虚功原理建立了更加广泛意义上的接触系统静力学模型．作为算例，将该力学模型应用于内啮合少齿差行星齿轮多齿啮合问题的研究，揭示了行星齿轮传动中有多对轮齿相互接触，获得了其接触应力分布状态．通过实验验证了力学模型、计算方法和计算结果的正确性．Abstract: The coupling of the local contact problems between the components and the deformation of the components in the mechanical system were discovered. A series of coordinate systems have been founded to describe the mechanical system with the contact problems. The method of isolating the boundary of contact body from others has been used to describe the constraint between the contacting points. A more generalized static mechanics model of the mechanical system with the contact problems has been founded through the principle of virtual work. As an application, the model was used to study the multi-teeth engagement problems in the inner meshed planet gear systems. The stress distribution of contact gears was got. A test has verified that the static contact model and the computational method are right.
-
Key words:
- mechanical system /
- contact problem /
- planet gear drive
-
[1] 李润方，龚剑霞.接触问题数值计算方法及其在机械设计中的应用[M].重庆:重庆大学出版社，1989. [2] Klarbring A.A mathematical programming approach to three-dimensional contact problems with friction[J].Computer Methods in Applied Mechanics and Engineering,1986,58(3):175—200. doi: 10.1016/0045-7825(86)90095-2 [3] Holmberg G.A solution scheme for three-dimensional multi-body contact problems with friction using mathematical programming[J].Computers & Structures,1990,37(4):503—514. [4] 陈国庆，陈万吉，冯恩民.三维接触问题的非线性互补原理及算法[J].中国科学 A辑，1995，25(11):1181—1190. [5] 吕和祥，马莉颍.三维接触问题的拟二维序列解法[J].固体力学学报，1996，17(1)：31—37. [6] CHEN Wen-hwa,YEH Jyi-tyan.Finite element analysis of finite deformation contact problems with friction[J].Computers & Structures,1988,29(3):423—436. [7] 何君毅，林祥都.工程结构非线性问题的数值解法[M].北京：国防工业出版社，1994. [8] ZHAO Hua.The virtual contact loading method for contact problems considering material and geometric nonlinearities[J].Computers & Structures,1996,58(3):631—632. [9] 李光耀，钟志华.显示有限元方法求解二维壳体塑性大变形问题[J].工程力学，1997，14(3)：78—87. [10] 丁玉成，王建军，李润方.直齿轮接触有限元分析及轮齿热弹性变形[J].重庆大学学报，1987，4(2):1—9. [11] Shabana A A.Dynamics of Multibody Systems[M].John Weley & Sions Inc,1989. [12] 陆志华.柔性多体机械系统中多区域接触问题理论建模及试验研究[D].博士学位论文.上海：上海交通大学，1999. [13] 孙桓，傅则绍.机械原理[M].北京：高等教育出版社,1990. -
计量
- 文章访问数: 2189
- HTML全文浏览量: 80
- PDF下载量: 809
- 被引次数: 0
下载:
渝公网安备50010802005915号