Optimal Dimensional Synthesis of Linkages Using Exact Jacobian Determination in the SQP Algorithm

REFERENCES

• Al-Smadi , Y. M. , Shen , Q. , Russell , K. , Sodhi , R. S. ( 2009 ). Planar four-bar generation with prescribed static torque and rigid-body reaction force . Mechanics Based Design of Structures and Machines 37 : 73 – 85 .
   Web of Science ®Google Scholar
• Angeles , J. , Alivizatoss , A. , Akhras , R. ( 1988 ). An unconstrained nonlinear least-square method of optimization of RRRR planar path generators . Mechanism and Machine Theory 23 ( 5 ): 343 – 353 .
   Web of Science ®Google Scholar
• Aviles , R. , Hernandez , A. , Amezua , E. , Altuzarra , O. ( 2008 ). Kinematic analysis of linkages based in finite elements and geometric stiffness matrix . Mechanism and Machine Theory 43 ( 8 ): 964 – 983 .
   Web of Science ®Google Scholar
• Aviles , R. , Vallejo , J. , Fernandez de Bustos , I. , Aguirrebeitia , J. , Ajuria , G. ( 2010 ). Optimum synthesis of planar linkages using a strain-energy error function under geometric constraints . Mechanism and Machine Theory 45 ( 1 ): 65 – 79 .
   Web of Science ®Google Scholar
• Biggs , M. C. ( 1975 ). Constrained Minimization Using Recursive Quadratic Programming: Some Alternate Subproblem Formulation, Towards Global Optimization , Dixon , L. C. W. and Szegö , G. P. , eds., Amsterdam : North-Holland , pp. 341 – 349 .
   Google Scholar
• Collard , J. F. ( 2007 ). Geometrical and Kinematics Optimization of Closed-Loop Multibody Systems. Ph.D. Thesis, Catholic University of Louvain .
   Google Scholar
• Diab , N. , Smaili , A. ( 2008 ). Optimum exact/approximate point synthesis of planar mechanism . Mechanism and Machine Theory 43 ( 12 ): 1610 – 1624 .
   Web of Science ®Google Scholar
• Du , X. , Venigella , P. K. , Liu , D. ( 2009 ). Robust mechanism synthesis with random and interval variables . Mechanism and Machine Theory 44 ( 7 ): 1321 – 1337 .
   Web of Science ®Google Scholar
• Erdman , A. G. , Sandor , G. N. ( 1997 ). Mechanism Design: Analysis and Synthesis . New Jersey : Prentice-Hall .
   Google Scholar
• Gill , P. E. , Murray , W. , Wright , M. H. , ( 1981 ). Practical Optimization . New York : Academic Press .
   Google Scholar
• Gosselin , C. , Angeles , J. ( 1990 ). Singularity analysis of closed-loop kinematic chains . IEEE Transations of Robotics and Automatization 6 ( 3 ): 281 – 290 .
   Google Scholar
• Jimenez , J. M. , Alvarez , G. , Cardenal , J. , Cuadrado , J. ( 1997 ). A simple and general method for kinematic synthesis of spatial mechanisms . Mechanism and Machine Theory 32 ( 3 ): 323 – 341 .
   Web of Science ®Google Scholar
• Kinzel , E. C. , Schmiedeler , J. P. , Pennock , G. R. ( 2006 ). Kinematic synthesis for finitely separated positions using geometric constraint programming . Journal of Mechanical Design 128 ( 5 ): 1070 – 1079 .
   Web of Science ®Google Scholar
• Mundo , D. , Gatti , G. , Dooner , D. B. ( 2009 ). Optimized five-bar linkages with non-circular gear for exact path generation . Mechanism and Machine Theory 44 ( 4 ): 751 – 760 .
   Web of Science ®Google Scholar
• Park , F. C. , Kim , J. W. ( 1999 ). Singularity analysis of closed kinematic chains . Journal of Mechanical Design 121 : 32 – 38 .
   Web of Science ®Google Scholar
• Perez , A. , McCarthy , J. M. ( 2005 ). Clifford algebra exponentials and planar linkage synthesis equations . Journal of Mechanical Design 127 ( 5 ): 931 – 940 .
   Web of Science ®Google Scholar
• Pucheta , M. A. , Cardona , A. (2008). Synthesis of planar multiloop linkages starting from existing parts or mechanisms: enumeration and initial sizing. Mechanics Based Design of Structures and Machines 36:362–391.
   Web of Science ®Google Scholar
• Smaili , A. , Diab , N. ( 2007 ). Optimum synthesis of hybrid-task mechanisms using ant-gradient search method . Mechanism and Machine Theory 42 ( 1 ): 115 – 130 .
   Web of Science ®Google Scholar
• Suh , C. H. , Radcliffe , C. W. ( 1978 ). Kinematics and Mechanisms Design . New York : Willey .
   Google Scholar
• Uicker , J. J. , Pennock , G. R. , Shigley , S. E. ( 2011 ). Theory of Machines and Mechanisms . New York : Oxford University Press .
   Google Scholar
• Ullah , I. , Kota , S. ( 1997 ). Optimal synthesis of mechanisms for path generation using Fourier descriptors and global search methods . Journal of Mechanical Design 119 ( 4 ): 504 – 519 .
   Web of Science ®Google Scholar
• Wilson , R. B. ( 1963 ). A Simplical Algorithm for Concave Programming. Ph.D. Thesis. Harvard University, Boston .
   Google Scholar
• #Communicated by M. Ceccarelli and V. Mata.
   Google Scholar