Discussion of Hwang and Chen's constraint equations to eliminate order,circuit and branch defects for the paper: Defect-free synthesis of Stephenson-III motion generators,published in Journal of Mechanical Engineering Science,2008;222: 2485–2494
Restricted accessNoteFirst published online March, 2020
Discussion of Hwang and Chen's constraint equations to eliminate order,circuit and branch defects for the paper: Defect-free synthesis of Stephenson-III motion generators,published in Journal of Mechanical Engineering Science,2008;222: 2485–2494
Many studies to find solutions for the optimum synthesis problems of linkage mechanisms for path, motion or function generation have appeared in the literature. However, their main focus has been on the development of optimization algorithms or synthesis methods without the handling of the defect problems or only with consideration of the same assembly mode. Hwang and Chen's pioneering work proposed a defect-free optimum synthesis method with constraint equations to eliminate order, circuit and branch defects for Stephenson III six-bar motion generators. However, their proposed constraint equations for the three types of defects are incomplete or not clear enough. In this discussion, we not only examine these faults but also offer the correct and complete constraints to eliminate the three types of defects.
ChaseTRMirthJA. Circuit and branches of single degree-of-freedom planar linkages. J Mech Des1993; 115: 223–230.
4.
CeccarelliMCuadradoJDopicoD. An optimum synthesis for gripping mechanism by using natural coordinates. Proc IMechE, Part C: J Mechanical Engineering Science2002; 216: 643–653.
5.
BuśkiewiczJ. Use of shape invariants in optimal synthesis of geared five-bar linkage. Mech Mach Theory2010; 45: 273–290.
6.
SancibrianR. Improved GRG method for the optimal synthesis of linkages in function generation problems. Mech Mach Theory2011; 46: 1350–1375.
7.
BulatovićRRĐorđevićSRĐorđevićVS. Cuckoo Search algorithm: a metaheuristic approach to solving the problem of optimum synthesis of a six-bar double dwell linkage. Mech Mach Theory2013; 61: 1–3.
8.
BulatovićRRMiodragovićGBoškovićSM. Modified Krill Herd (MKH) algorithm and its application in dimensional synthesis of a four-bar linkage. Mech Mach Theory2016; 95: 1–21.
9.
BaiSWangDDongH. A unified formulation for dimensional synthesis of Stephenson linkages. ASME J Mech Rob2016; 8: 041009.
10.
LinWY. Optimum shape synthesis of path generating mechanisms using wavelet descriptors. J Adv Mech Des Syst2019; 13. : JAMDSM0012.
11.
YanHSChiouST. An algorithm for the optimal synthesis of complex function generations. Eng Optimiz1987; 12: 75–88.
12.
LinWY. A GA–DE hybrid evolutionary algorithm for path synthesis of four-bar linkage. Mech Mach Theory2010; 45: 1096–1107.
13.
LinWYWangSS. Dimensional synthesis of the five-point double-toggle mould clamping mechanism using a genetic algorithm–differential evolution hybrid algorithm. Proc IMechE, Part C: J Mechanical Engineering Science2010; 224: 1305–1313.
14.
LinWY. Optimum path synthesis of a geared five-bar mechanism. Adv Mech Eng2013; 5: 757935.
15.
PlecnikMMMcCarthyJM. Numerical synthesis of six-bar linkages for mechanical computation. ASME J Mech Rob2014; 6: 031012.
16.
LinWY. Optimum synthesis of planar mechanisms for path generation based on a combined discrete Fourier descriptor. ASME J Mech Rob2015; 7: 041023.
17.
PlecnikMMMcCarthyJM. Computational design of Stephenson-II six-bar function generators for 11 accuracy points. ASME J Mech Rob2015; 8: 011017.
18.
LinWYHsiaoKM. Optimum synthesis of a 10-link gripping mechanism using new grasping indices. J Chin Inst Eng2016; 39: 809–815.
19.
LinWYHsiaoKM. A new differential evolution algorithm with a combined mutation strategy for optimum synthesis of path-generating four-bar mechanisms. Proc IMechE, Part C: J Mechanical Engineering Science2017; 231: 2690–2705.
20.
HwangWMChenYJ. Defect-free synthesis of Watt-I mechanisms for motion generation. J Chin Soc Mech Eng2009; 30: 173–180.
21.
HwangWMChenYJ. Synthesis of defect-free Stephenson-II function generators. ASME J Mech Rob2010; 2: 041012.
22.
RussellKShenJ. Planar four-bar motion and path generation with order and branching conditions. J Adv Mech Des Syst2011; 5: 264–273.
23.
ShenQLeeWTRussellK. On adjustable planar four-bar motion generation with order, branch and circuit defect rectification. ASME J Mech Rob2015; 7: 034501.
24.
SinghRChaudharyHSinghAK. Defect-free optimal synthesis of crank-rocker linkage using nature-inspired optimization algorithms. Mech Mach Theory2017; 116: 105–122.
25.
LinWY. Discussion on the constraint for circuit defect rectification for the paper by Singh et al.: defect-free optimal synthesis of crank-rocker linkage using nature-inspired optimization algorithms, published in Mechanism and Machine Theory, 116 (2017) 105–122. Mech Mach Theory2017; 116: 465–466.
26.
LeeWTCosmeJRussellK. Revolute-cylindrical-cylindrical-cylindrical linkage optimum dimensional synthesis with static structural loading. Proc IMechE, Part C: J Mechanical Engineering Science2019; 233: 256–268.
27.
SinghRChaudharyHSinghAK. A loop-by-loop defect rectification procedure for optimal synthesis of Stephenson III path generators. Meccanica2019; 54: 1869–1888.
28.
CabreraJASimonAPradoM. Optimal synthesis of mechanisms with genetic algorithm. Mech Mach Theory2002; 37: 1165–1175.
29.
AcharyyaSKMandalM. Performance of EAs for four-bar linkage synthesis. Mech Mach Theory2009; 44: 1784–1794.
30.
OrtizACabreraJANadalF, et al.Dimensional synthesis of mechanisms using Differential Evolution with auto-adaptive control parameters. Mech Mach Theory2013; 64: 210–229.
