Abstract
A quadratic programming method for contact problems is extended to a general problem involving contact ofn elastic bodies. Sharp results of quadratic programming theory provide an equivalence between the originaln-body contact problem and the simplex algorithm used to solve the quadratic programming problem. Two multibody examples are solved to illustrate the technique.
Similar content being viewed by others
References
Chand, R., Haug, E. J., andRim, K.,Analysis of Unbonded Contact Problems by Means of Quadratic Programming, Journal of Optimization Theory and Applications, Vol. 20, pp. 171–189, 1976.
Conry, T. F., andSeirig, A.,A Mathematical Programming Method for Design of Elastic Bodies in Contact, Journal of Applied Mechanics, Vol. 38, pp. 387–392, 1971.
Kalker, J. J., andVan Randen, Y.,A Minimum Principle for Frictionless Elastic Contact with Application to Non-Hertzian Half-Space Contact Problems, Journal of Engineering Mathematics, Vol. 6, pp. 193–206, 1972.
Singh, K. P., andPaul, B.,Numerical Solution of Non-Hertzian Elastic Contact Problems, Journal of Applied Mechanics, Vol. 41, pp. 484–490, 1974.
Hadley, G.,Nonlinear and Dynamic Programming, Addison-Wesley, Reading, Massachusetts, 1964.
Author information
Authors and Affiliations
Additional information
Communicated by C. T. Leondes
Rights and permissions
About this article
Cite this article
Haug, E., Chand, R. & Pan, K. Multibody elastic contact analysis by quadratic programming. J Optim Theory Appl 21, 189–198 (1977). https://doi.org/10.1007/BF00932519
Issue Date:
DOI: https://doi.org/10.1007/BF00932519