New method for oblique impact dynamics research of a flexible beam with large overall motion considering impact friction force  

作　　者：W.Yuan L.Li D.G.Zhang J.Z.Hong 

机构地区：[1]School of Science, Nanjing University of Science and Technology [2]Department of Engineering Mechanics, Shanghai Jiao Tong University

出　　处：《Acta Mechanica Sinica》2016年第4期720-730,共11页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grants 11272155,11132007,and11502113);the 333 Project of Jiangsu Province in China(Grant BRA2011172);the Fundamental Research Funds for Central Universities(Grant 30920130112009)

摘　　要：A flexible beam with large overall rotating motion impacting with a rigid slope is studied in this paper. The tangential friction force caused by the oblique impact is analyzed. The tangential motion of the system is divided into a stick state and a slip state. The contact constraint model and Coulomb friction model are used respectively to deal with the two states. Based on this hybrid modeling method, dynamic equations of the system, which include all states（before, during, and after the collision）are obtained. Simulation results of a concrete example are compared with the results obtained from two other models： a nontangential friction model and a modified Coulomb model. Differences in the results from the three models are discussed. The tangential friction force cannot be ignored when an oblique impact occurs. In addition, the results obtained from the model proposed in this paper are more consistent with real movement.A flexible beam with large overall rotating motion impacting with a rigid slope is studied in this paper. The tangential friction force caused by the oblique impact is analyzed. The tangential motion of the system is divided into a stick state and a slip state. The contact constraint model and Coulomb friction model are used respectively to deal with the two states. Based on this hybrid modeling method, dynamic equations of the system, which include all states（before, during, and after the collision）are obtained. Simulation results of a concrete example are compared with the results obtained from two other models： a nontangential friction model and a modified Coulomb model. Differences in the results from the three models are discussed. The tangential friction force cannot be ignored when an oblique impact occurs. In addition, the results obtained from the model proposed in this paper are more consistent with real movement.

关 键 词：collision oblique friction stick tangential considering Coulomb constraint coordinate rotating 

分 类 号：O313.4[理学—一般力学与力学基础]