.变曲率连续滚滑接触安定性的数值方法研究[J].计算力学学报,2008,25(6): |
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变曲率连续滚滑接触安定性的数值方法研究 |
Numerical method research for shakedown of rolling-sliding contact on variable curvature surface |
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DOI:10.7511/jslx20086166 |
中文关键词: 变曲率,安定,残余应力,接触 |
英文关键词:variable curvature,shakedown,residual stresses,contact |
基金项目: |
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西安理工大学机仪学院,西北工业大学航空学院 |
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中文摘要: |
针对接触表面变曲率的特点,引入局部坐标系,构造出局部坐标下残余应力应变场的分布状态,建立了变曲率连续啮合过程中安定状态残余应力的计算方法。该数值方法将弹塑性问题分解为弹性问题和特征应变决定的残余问题,并采用增量映射方法求解特征应变决定的残余问题,可直接得到接触安定状态下的接触残余应力,并随之进行安定极限的判定。采用该数值方法计算了不同曲率处接触点的安定极限,给出了安定极限与摩擦因数之间的关系,并与有关数值结果相比较,验证了该算法的有效性。 |
英文摘要: |
A model of Rolling-Sliding Contact on Variable Curvature surface has been established based on Hertz theory.Local coordinates are constructed on different contact points because of curvature of contact surface is not constant and then distributions of residual stresses and strains are given.A numerical approach for elastic-plastic analysis and shakedown is presented and its application to rolling-sliding contact is demonstrated.The numerical approach consists of an operator split technique,which transforms the elastic-plastic problem into a purely elastic problem and a residual problem with prescribed eigenstrains.The eigenstrains are determined using an incremental projection method.Shakedown limited of different contact point is computed,relation between shakedown and curvature and relation between shakedown and coefficient of friction are given.The results are in agreement with Johnson's results. |
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