| Title:
|
Dynamic approach to optimum synthesis of a four-bar mechanism using a swarm intelligence algorithm (English) |
| Author:
|
Portilla-Flores, Edgar A. |
| Author:
|
Calva-Yáñez, Maria B. |
| Author:
|
Villarreal-Cervantes, Miguel G. |
| Author:
|
Niño Suárez, Paola A. |
| Author:
|
Sepúlveda-Cervantes, Gabriel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
50 |
| Issue:
|
5 |
| Year:
|
2014 |
| Pages:
|
786-803 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper presents a dynamic approach to the synthesis of a crank-rocker four-bar mechanism, that is obtained by an optimization problem and its solution using the swarm intelligence algorithm called Modified-Artificial Bee Colony (M-ABC). The proposed dynamic approach states a mono-objective dynamic optimization problem (MODOP), in order to obtain a set of optimal parameters of the system. In this MODOP, the kinematic and dynamic models of the whole system are consider as well as a set of constraints including a dynamic constraint. The M-ABC algorithm is adapted to solve the optimization problem by adding a suitable constraint-handling mechanism that is able to incorporate the kinematic and dynamic constraints of the system. A set of independent computational runs were carried out in order to validate the dynamic approach. An analysis from the mechanical and computational point of view is presented, based on the obtained results. From the analysis of the simulation and its results, it is shown that the solutions for the proposed algorithm lead to a more suitable design based on the dynamic approach. (English) |
| Keyword:
|
synthesis |
| Keyword:
|
four-bar mechanism |
| Keyword:
|
M-ABC algorithm |
| MSC:
|
62A10 |
| MSC:
|
90C15 |
| MSC:
|
93B50 |
| MSC:
|
93E12 |
| idZBL:
|
Zbl 1305.93197 |
| DOI:
|
10.14736/kyb-2014-5-0786 |
| . |
| Date available:
|
2015-01-13T09:38:06Z |
| Last updated:
|
2016-01-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144107 |
| . |
| Reference:
|
[1] Acharyya, S. K., Mandal, M.: Performance of EAs for four-bar linkage synthesis..Mechanism and Machine Theory 44 (2009) 1784-1794. Zbl 1178.70003, 10.1016/j.mechmachtheory.2009.03.003 |
| Reference:
|
[2] Chiasson, J.: Modeling and High Performance Control of Electric Machines.Wiley-IEE Press, 2005 |
| Reference:
|
[3] Deb, K.: An efficient constraint handling method for genetic algorithms..Comput. Methods Appl. Mech. Engrg. 186 (2000), 2/4, 311-338. Zbl 1028.90533, 10.1016/S0045-7825(99)00389-8 |
| Reference:
|
[4] Dorigo, M., Caro, G. D., Gambardella, L. M.: Ant algorithms for discrete optimization..Artif. Life 3 (1999), 137-172. 10.1162/106454699568728 |
| Reference:
|
[5] Gao, F., Fei, F., Xu, Q., Deng, Y., Qi, Y., Balasingham, I.: A novel artificial bee colony algorithm with space contraction for unknown parameters identification and time-delays of chaotic systems..Appl. Math. Comput. 219 (2012), 2, 552-568. Zbl 1288.34068, MR 2956986, 10.1016/j.amc.2012.06.040 |
| Reference:
|
[6] Hrones, J., Nelson, G.: Analysis of Four Bar Linkage..MIT Press and Wiley 1951. MR 0041577 |
| Reference:
|
[7] Karaboga, D., Basturk, B.: A powerful and efficient algorithm for numerical function optimization: artificial bee colony (abc) algorithm..J. Global Optim. 3 (2007), 3, 459-471. Zbl 1149.90186, MR 2346178, 10.1007/s10898-007-9149-x |
| Reference:
|
[8] Karaboga, N., Latifoglu, F.: Adaptive filtering noisy transcranial Doppler signal by using artificial bee colony algorithm..Engrg. Appl. Artif. Intell. 26 (2013), 2, 677-684. 10.1016/j.engappai.2012.10.011 |
| Reference:
|
[9] Kennedy, J., Eberhart, R. C.: Particle swarm optimization..In: IEEE International Conference on Neural Networks 1995, pp. 1942-1948. |
| Reference:
|
[10] Khorshidi, M., Soheilypour, M., Peyro, M., Atai, A., Panahi, M. Shariat: Optimal design of four-bar mechanisms using a hybrid multi-objective GA with adaptive local search..Mech. Mach. Theory 46 (2011), 10, 1453-1465. 10.1016/j.mechmachtheory.2011.05.006 |
| Reference:
|
[11] Krishnamurty, S., Turcic, D. A.: Optimal synthesis of mechanisms using nonlinear goal programming techniques..Mech. Mach. Theory 27 (1992), 5, 599-612. 10.1016/0094-114X(92)90048-M |
| Reference:
|
[12] Laribi, M. A., Mlike, A., Romdhane, L., Zeghloul, S.: A combined genetic algorithm-fuzzy logic method (GA-FL) in mechanism synthesis..Mech. Mach. Theory 39 (2004), 717-735. 10.1016/j.mechmachtheory.2004.02.004 |
| Reference:
|
[13] Lin, W.: A GADE hybrid evolutionary algorithm for path synthesis of four-bar linkage..Mech. Mach. Theory 45 (2010), 1096-1107. 10.1016/j.mechmachtheory.2010.03.011 |
| Reference:
|
[14] Ma, J. W., Zhang, G. L., Xie, H.: The optimization of feed-forward neural networks based on artificial fish-swarm algorithm..Comput. Appl. 24 (2004), 21-23. |
| Reference:
|
[15] Mezura-Montes, E., Cetina-Domínguez, O.: Empirical analysis of a modified artificial bee colony for constrained numerical optimization..Appl. Math. Comput. 218 (2012), 10943-10973. Zbl 1284.90079, MR 2942379, 10.1016/j.amc.2012.04.057 |
| Reference:
|
[16] Mezura-Montes, E., Portilla-Flores, E. A., Ocaña, B. Hernández: Optimum synthesis of a four-bar mechanism using the modified bacterial foraging algorithm..Int. J. Systems Sci. 45 (2014), 5, 1080-1100. 10.1080/00207721.2012.745023 |
| Reference:
|
[17] Norton, R.: Diseño de Maquinaria, una introducción a la síntesis y al análisis de mecanismos y máquinas (in Spanish)..McGraw Hill, México 1997. |
| Reference:
|
[18] Passino, K. M.: Biomimicry of bacterial foraging for distributed optimization and control..IEEE Control Syst. Mag. (2002) 52-67. 10.1109/MCS.2002.1004010 |
| Reference:
|
[19] Samanta, S., Chakraborty, S.: Parametric optimization of some non-traditional machining processes using artificial bee colony algorithm..Engrg. Appl. Artif. Intell. 24 (2011), 6, 946-957. 10.1016/j.engappai.2011.03.009 |
| Reference:
|
[20] Shigley, J., Uicker, J.: Theory of Machines and Mechanisms..McGraw Hill, México 1995. |
| . |
