Second-order methods for the optimum synthesis of multibody systems

Structural and Multidisciplinary Optimization

Volumn 19, Issue 3, 2000, Pages 192-203

  Aviles R ^a   Vallejo, J ^a   Ajuria, G ^a   Agirrebeitia, J ^a  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; KINEMATICS; MATHEMATICAL MODELS; OPTIMIZATION; PARAMETER ESTIMATION;

MULTIBODY SYSTEMS; SECOND-ORDER OPTIMIZATION METHODS;

STRUCTURAL ANALYSIS;

EID: 0034186301     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001580050102     Document Type: Article

References (27)

1. Akhras, R.; Angeles, J. 1989: Unconstrained nonlinear least-square optimization of planar linkages for rigid-body guidance. Mech. Mach. Theory 25, 97-118
2. Amezua, E.; Hormaza, M.V.; Hernández, A.; Ajuria, M.B.G. 1995: A method for the improvement of 3D solid finite-element meshes. Advances in Engineering Software 22, pp. 45-53
3. Angeles, J.; Aliziviatos, A.; Akhras, R. 1988: An unconstrained nonlinear least-square method of optimization of RRRR planar path generators. Mech. Mach. Theory 23, 343-353
4. Angeles, J.; Bernier, A. 1987: The global least-square optimization of function-generation linkages. ASME J. Mech., Trans. Auto. Design 109, 204-209
5. Avilés, R.; Ajuria, M.B.G.; Bilbao, A.; Vallejo, J. 1998: Lagrange multipliers and the primal-dual method in non-linear static equilibrium of multibody systems. Comm. Numer. Meth. Engrg. 14, 463-472
6. Avilés, R.; Ajuria, M.B.G.; G. de Jalón, J. 1985: A fairly general method for the optimum synthesis of mechanisms. Mech. Mach. Theory 20, 321-328
7. Avilés, R.; Ajuria, M.B.G.; Hormaza, M.V.; Hernández, A. 1996: A procedure based on finite elements for the solution of nonlinear problems in the kinematic analysis of mechanisms. Int. J. Finite Elements in Analysis and Design 22, 305-328
8. Avilés, R.; Ajuria, M.B.G.; Vallejo, J.; Hernández, A. 1997: A procedure for the optimal synthesis of planar mechanisms based on nonlinear position problems. Int. J. Numer. Meth. Engrg. 40, 1505-1524
9. Avilés, R.; Navalpotro, S.; Amezua, E. Hernández, A. 1994: An energy-based general method for the optimum synthesis of mechanisms. J. Mech. Design (ASME) 116, 127-136
10. Chew, M.; Shen, S.N.T.; Issa, G.F. 1995: Kinematic structural synthesis of mechanisms using knowledge-based systems. J. Mech. Design, Trans. ASME 117, 96-103
11. Davis, L.D. (Ed.) 1991: Handbook of genetic algorithms. Van Nostrand Reinhold
12. García de Jalón, J.; Bayo, E. 1994: Kinematic and dynamic simulation of multibody systems: The real time challenge. Berlin, Heidelberg, New York: Springer
13. Goldberg, D.E. 1989: Genetic algorithms in search, optimization and machine learning. Reading, MA: Addison-Wesley
14. Goldberg, D.E.; Smith, R.E. 1987: Nonstationary function optimization using genetic dominance and diploidy. In: Proc. 2-nd Int. Conf. on Genetic Algorithms. Lawrence Erlbaum Associates
15. Gosselin, C.; Angeles, J. 1989: Optimization of planar and spherical function generators as minimum-defect linkages. Mech. Mach. Theory 24, 293-307
16. Hernández, A.; Amezua, E.; Ajuria, M.B.G.; Llorente, J.I. 1994: Multiple points on the coupler curve of transitional fourhinge planar linkages. Mech. Mach. Theory 29, 1015-1032
17. Holland, J.H. 1994: Adaptation in natural and artificial systems. The MIT Press
18. Luck, K.; Modler, K.H. 1994: Synthesis of guidance mechanisms. Mech. Mach. Theory, 29, 525-534
19. Michalewicz, Z. 1994: Genetic algorithms + data stuctures = evolution programs. Berlin, Heidelberg, New York: Springer
20. Nikravesh, P.E.; Ambrosio, J.A.C. 1991: Systematic construction of equations of motion for rigid-flexible multibody systems containing open and closed kinematic loops. Int. J. Numer. Meth. Engrg. 23, 1749-1766
21. Sakamoto, Y.; Ogawa, K.; Funabashi, H. 1994: A kinematic analysis of planar six-bar mechanisms with consideration of the interference of moving links. Mech. Mach. Theory 29, 345-356
22. Schwefel, H.P. 1995: Evolution and optimum seeking. John Wiley & Sons
23. Singh, J.R.; Rastegar, J. 1995: Optimal synthesis of robot manipulators based on global kinematic parameters. Mech. Mach. Theory 30, 569-580
24. Sriram, B.R.; Mruthyunjaya, T.S. 1995: Synthesis of path generating flexible-link mechanisms. Comp. & Struct. 56, 657-666
25. Vallejo, J.; Avilés, R.; Hernández, A.; Amezua, E. 1995: Non-linear optimization of planar linkages for kinematic syntheses. Mech. Mach. Theory 30, 501-518
26. Van der Plaats, G.N. 1984: Numerical optimization techniques for engineering design: with applications. McGraw Hill
27. Woytowitz, P.J.; Hight, T. 1994: Optimization of controlled flexible mechanisms using dynamic nonlinear finite element analysis. Mech. Mach. Theory 29, 941-958