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弹性接触问题的一种新的力学模型 被引量:6

A New Satic Mechanics Model to Solve Contact Problems in Mechanical Systems
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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。 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.
出处 《应用数学和力学》 CSCD 北大核心 2004年第11期1203-1210,共8页 Applied Mathematics and Mechanics
关键词 弹性接触问题 物体 虚功原理 实验验证 静力学 算例 状态 机械系统 轮齿 行星齿轮传动 mechanical system contact problem planet gear drive
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参考文献5

  • 1Klarbring 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.
  • 2Holmberg G. A solution scheme for three-dimensional multi-body contact problems with friction using mathematical programming[ J ]. Computers & Structures, 1990,37( 4):503-514.
  • 3CHEN Wen-hwa, YEH Jyi-tyan. Finite element analysis of finite deformation contact problems with friction[J]. Computers & Structures, 1988,29(3) :423-436.
  • 4ZHAO Hua. The virtual contact loading method for contact problems considering material and geometric nonlinearities[J] . Computers & Structures, 1996,58(3) :631-632.
  • 5Shabana A A. Dynamics of Multibody Systems [M]. John Weley & Sions Inc, 1989.

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