In order to solve the kinetic simulation problem of motional cable harness with unilateral constraints in the process of assembly and service, an physical modeling and simulation method of motional cable harness under smooth plane constraint is proposed which is based on the theory of thin elastic rod .The method analyzes the load conditions of motional cable harness, and expresses the constraint force in the form of a plane normal vector. The relative spatial relationship between nodes and plane is used as the constraint equations. The Kirchhoff equilibrium equation under distribution forces and the physical model of motional cable are attained. The model is solved by the method of nonlinear constrained optimization. Some examples are done based on different conditions. Furthermore, the proposed model and numerical solution is tested by comparing the simulated and the actual shape of motional cable. And the result shows that the model and solution can truly express the basic physical properties and deformation characteristics under smooth plane constraint.
JIN Wangtao
,
LIU Jianhua
,
LIU Jiashun
,
TANG Chengtong
,
LIN Haili
. Motional Cable Harness Physical Characteristic Oriented Modeling and Kinetic Simulation Technology under Smooth Plane Constraints[J]. Journal of Mechanical Engineering, 2016
, 52(3)
: 118
-127
.
DOI: 10.3901/JME.2016.03.118
[1] 刘检华，赵涛，王春生，等.虚拟环境下的活动线缆物理特性建模与运动仿真技术[J]. 机械工程学报，2011，47(9)：117-124. LIU Jianhua，ZHAO Tao，WANG Chunsheng，et al. Motional cable harness physical characteristic oriented modeling and kinetic simulation technology in virtual environment[J]. Journal of Mechanical Engineering，2011，47(9)：117-124.
[2] LOOCK A，SCHOMER E，STADTWALD I. A virtual environment for interactive assembly simulation： From rigid bodies to deformable cables[C]//5th World Multiconference on Systemics，Cybernetics and Informatics (SCI’01). 2001，3：325-332.
[3] DANIULAITIS V，OSAMA M，ALHALABI H， et al.Medical Palpation of deformable tissue using physics-based model for haptic interface robot (HIRO)[J]. Proceedings of 2004 1EEE International Conference on Intelligent Robots and Systems，September 28 - October 2，2004. Sendai，Japan：3907-3911.
[4] GRéGOIRE M，SCH?MER E. Interactive simulation of one-dimensional flexible parts[J]. Computer-Aided Design，2007，39(8)：694-707.
[5] 薛纭，陈立群，刘延柱，等. 受曲面约束弹性细杆的平衡问题[J]. 物理学报，2004，53(7)：2040-2045. XUE Yun，CHEN Liqun，LIU Yanzhu，et al. Problems on equilibrium of a thin elastic rod constrained on a surface[J]. Acta Phys. Sin.，2004，53(7)：2040-2045.
[6] 王晨. 基于物理的柔性管形变建模实时仿真[D]. 杭州：浙江大学，2008. WANG Chen. Physically based modeling of real-time simulation of the flexible tube deformation[D]. Hangzhou：Zhejiang University，2008.
[7] WRIGGERS P，ZAVARISE G. Study on contact between three-dimensional beams undergoing large deflectionS[J]. Communications in Numerical Methods in Engineering，1997，13(6)：429-438.
[8] SPILLMANN J，HARDERS M. Inextensible elastic rods with torsional friction based on lagrange multipliers[J]. Computer Animation and Virtual Worlds，2010，21(6)：561-572.
[9] 刘延柱. 弹性细杆的非线性力学[M]. 北京：清华大学出版社，2006. LIU Yanzhu. Nonlinear mechanics of thin elastic rod[M]. Beijing：Tsinghua University Press，2006.
[10] 赵涛，刘检华，宁汝新，等. 分布力作用下的活动线缆物性建模技术[J]. 计算机集成制造系统，2012，18(10)：2151-2157. ZHAO Tao，LIU Jianhua，NING Ruxin，et al. Motional cable harness physical characteristic oriented modeling technology with distributed force[J].Computer Integrated Manufacturing Systems，2012，18(10)：2151-2157.
