ANALYSIS ON PLANAR OBSTACLE AVOIDANCE LOCOMOTION OF VIBRATION-DRIVEN SYSTEM

doi:10.6052/0459-1879-16-367

Abstract

Abstract:

In recent years, with the wide application of the industrial robot, the development of the mobile robot has attracted more and more attention. In order to finish the work accurately in some complex environments, vibrationdriven system has been proposed and researched by scholars. At the presence of anisotropic viscous friction, this paper investigates the motion law of a vibration-driven locomotion system in which two internal masses vibrate sinusoidally in two parallel guides and puts forward a design method to conduct the tasks like obstacle avoiding. Firstly, by using the second-kind Lagrange's equation, dynamical equations of the system are established; then, the motion law is numerically analyzed, the relationship between the internal drive parameters and the system trajectory and the system velocity are obtained by using the velocity-verlet algorithm; finally, based on the motion law of the vibration-driven locomotion system, the drive design method is proposed to make the system move along a prescribed path and realize the obstacle avoidance. To make the mobile system move along a prescribed path, the motion trajectory of the system could be obtained by curve discretization. Then, by changing the driving parameters of the internal mass block, the system could move along the preset path. In order to make the mobile system reach the goal position in the obstacle environment, an optimized path planning method based on the grid method, Floyd algorithm and the minimum vertex circle method is proposed, and the optimal motion path of the vibration-driven mobile system is obtained. Finally, obstacle avoiding can be realized through changing the driving parameters of the internal mass block.

Key words:

CLC Number:

O313

Zhang Min, Xu Jian. ANALYSIS ON PLANAR OBSTACLE AVOIDANCE LOCOMOTION OF VIBRATION-DRIVEN SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechani, 2017, 49(2): 397-409.

References

1 李铁风, 李国瑞, 梁艺鸣等. 软体机器人结构机理与驱动材料研究综述. 力学学报, 2016, 48(4):756-766(Li Tiefeng, Li Guorui, Liang Yiming, et al. Review of materials and structures in soft robotics. Chinese Journal of Theoretical & Applied Mechanics, 2016, 48(4):756-766(in Chinese))
2 范纪华, 章定国. 基于变形场不同离散方法的柔性机器人动力学建模与仿真. 力学学报, 2016, 48(4):843-856(Fan Jihua, Zhang Dingguo. Mechanical analysis and calm control of dual-arm space robot for capturing a satellite. Chinese Journal of Theoretical & Applied Mechanics, 2016, 48(4):843-856(in Chinese))
3 Chernousko FL. Analysis and optimization of the motion of a body controlled by means of a movable internal mass. Journal of Applied Mathematics and Mechanics, 2006, 70(6):819-842
4 Chernousko FL. Dynamics of a body controlled by internal motions//Proceedings of the IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty. Nanjing, China: Springer Netherlands, 2007:227-236
5 Fang HB, Xu J. Dynamic analysis and optimization of a three-phase control mode of a mobile system with an internal mass. Journal of Vibration and Control, 2011, 17(1):19-26
6 Fang HB, Xu J. Dynamics of a mobile system with an internal acceleration-controlled mass in a resistive medium. Journal of Sound and Vibration, 2011, 330(16):4002-4018
7 Bolotnik NN, Zeidis IM, Zimmermann K, et al. Dynamics of controlled motion of vibration-driven systems. Journal of Computer and Systems Sciences International, 2006, 45(5):831-840
8 Bolotnik NN, Figurina TY. Optimal control of the rectilinear motion of a rigid body on a rough plane by means of the motion of two internal masses. Journal of Applied Mathematics and Mechanics, 2008, 72(2):126-135
9 Volkova LY, Yatsun SF. Simulation of the plane controlled motion of a three-mass vibration system. Journal of Computer and Systems Sciences International, 2012, 51(6):859-878
10 Zhan X. Xu J, Fang HB. Planar locomotion of a vibration-driven system with two internal masses. Applied Mathematical Modeling, 2015, 40(2016):871-885
11 Sobolev NA, Sorokin KS. Experimental investigation of a model of a vibration-driven robot with rotating masses. Journal of Computer and Systems Sciences International, 2007, 46(5):826-835
12 Zhan X, Xu J. Locomotion analysis of a vibration-driven system with three acceleration-controlled internal masses. Advances in Mechanical Engineering, 2015, 7(3):1-12
13 Chernousko FL. On the optimal motion of a body with an internal mass in a resistive medium. Journal of Vibration and Control, 2008, 14(1-2):197-208
14 Chernousko FL. The optimal periodic motions of a two-mass system in a resistant medium. Journal of Applied Mathematics and Mechanics, 2008, 72(2):116-125
15 Sergey J, Vyacheslav D, Andrey Y, et al. Modelling of robot's motion by use of vibration of internal masses//Ceccarelli M, eds. Proceedings of EUCOMES 08. Dordrecht:Springer Netherlands, 2008. 263-270
16 Li HY, Katsuhisa F. A pendulum-driven cart via internal force and static friction//Proceedings of the 2005 International Conference on Physics and Control, IEEE, 2005:15-17
17 陈祺, 占雄, 徐鉴. 振动驱动移动机器人直线运动的滑移分岔. 力学学报, 2016, 48(4):792-803(Chen Qi, Zhan Xiong, Xu Jian. Sliding bifurcations of rectilinear motion of a three-phase vibrationdriven system subject to coulomb dry friction. Chinese Journal of Theoretical & Applied Mechanics, 2016, 48(4):792-803(in Chinese))
18 殷蓬勃, 占雄, 徐鉴. 三相驱动下含两质量块刚体的平面运动. 固体力学学报, 2016, 37(5):421-437(Yin Pengbo, Zhan Xiong, Xu Jian. Planar locomotion of a rigid body driven by three-phase motion of two internal masses. Chinese Journal of Solid Mechanics, 2016, 37(5):421-437(in Chinese))
19 刘丹丹, 张树有, 刘元开等. 一种基于特征点识别的曲线离散化方法. 中国图象图形学报, 2004, 9(6):755-759(Liu Dandan, Zhang Shuyou, Liu Yuankai, et al. A curve discretization method based on recognization of feature point. Journal of Image and Graphics, 2004, 9(6):755-759(in Chinese))
20 樊宏斌, 耿国华, 周明全. 一种求曲线极小特征点集的算法. 西北大学学报自然科学版, 2002, 32(2):166-168(Fan Hongbin,Geng Guohua,Zhou Mingquan. An algorithm on searching minim um characteristic pointsofcurve. Journal of Northwest University (Natural Science Edition), 2002, 32(2):166-168(in Chinese))
21 朱大奇, 颜明重. 移动机器人路径规划技术综述. 控制与决策, 2010, 25(7):961-967(Zhu Daqi, Yan Mingzhong. Survey on technology of mobile robot path planning. Control & Decision, 2010, 25(7):961-967(in Chinese))
22 张广林, 胡小梅, 柴剑飞等. 路径规划算法及其应用综述. 现代机械, 2011(5):85-90(Zhang Guanglin, Hu Xiaomei, Chai Jianfei, et al. Summary path planning algorithm and its application. Modern Machinery, 2011(5):85-90(in Chinese))
23 于红斌, 李孝安. 基于栅格法的机器人快速路径规划. 微电子学与计算机, 2005, 22(6):98-100(Yu Hongbin, Li Xiaoan. Fast path planning based on grid model of robot. Microelectronics & Computer, 2005, 22(6):98-100(in Chinese))
24 朱磊, 樊继壮, 赵杰等. 基于栅格法的矿难搜索机器人全局路径规划与局部避障. 中南大学学报(自然科学版), 2011, 42(11):3421-3428(Zhu Lei, Fan Jizhuang, Zhao Jie, et al. Global path planning and local obstacle avoidance of searching robot in mine disasters based on grid method. Journal of Central South University (Science and Technology), 2011, 42(11):3421-3428(in Chinese))
25 石为人, 王楷. 基于Floyd算法的移动机器人最短路径规划研究. 仪器仪表学报, 2009, 30(10):2088-2092(Shi Weiren, Wang Kai. Floyd algorithm for the shortest path planning of mobile robot. Chinese Journal of Scientific Instrument, 2009, 30(10):2088-2092(in Chinese))
26 李彦刚. 机器人躲避多静态障碍物的路径规划模型. 自动化与仪器仪表, 2013(2):160-163(Li Yangang. Path planning model for robot to avoid multi static obstacles. Automation and Instrumentation, 2013(2):160-163(in Chinese))

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