In this paper, we propose a novel design model based on the energy loss of the coin (ELM model) to optimize the flection curve, which is widely used in coin operated machines. Two different kinds of energy loss models are analyzed according to dynamic characteristics of the coin falling movement. The flection curve is constructed based on cubic quasi-uniform B-spline with the data points and end points derivatives as inputs, and the curve model is governed and affected by energy loss equations, allowing to minimize the total energy loss before the coin arrives at the detecting position, thus to reduce the energy loss and collisions between the coin and the flection, thus to improve the testing accuracy. A case study with a typical Chinese currency coin shows the effectiveness of the model using GA optimization toolbox.
. A novel energy loss model and optimization design of the coin chute flection curve[J]. Frontiers of Mechanical Engineering, 0, (): 38-46.
Qinghua LIANG, Jinqiu MO, Weizhong GUO. A novel energy loss model and optimization design of the coin chute flection curve. Front Mech Eng, 0, (): 38-46.
Mukhopadhyay S C. Novel high performance planar electromagnetic sensors. The e-Journal on Nondestructive Testing, August 2005. http://www.ndt.net
2
Carlosena A, Lopez-Martin A J, Arizti F, Martinez-de-Guerenu A. Sensing in coin discriminators. In: Proceedings of the 2007 IEEE Sensors Applications Symposium, San Diego, CA , 2007, 1-6
3
Mandal M, Naskar T K. Introduction of control points in splines for synthesis of optimized cam motion program. Mechanism and Machine Theory , 2009, 44(1): 255-271 doi: 10.1016/j.mechmachtheory.2008.01.005
4
Zhuang J H.Impulse monument theorem of the center of monument moment and its application in collision. Journal of Tianjin Institute of Light Industry . 1989, (4): 88-94 (in Chinese)
5
Yang H P, Wang W P, Sun J G. Control point adjustment for B-spline curve approximation. Computer Aided Design , 2004, 36(7): 639-652 doi: 10.1016/S0010-4485(03)00140-4
6
Fang Y X, Liu W X.Description of cubic uniform B-spline curve construction based on the geometric properties. Journal of Engineering Graphics , 2006, (2): 96-102 (in Chinese)
