Sensitivity analysis in some engineering applications

作者: Vadim Komkov

DOI: 10.1007/BFB0073067

关键词: Management scienceSensitivity (control systems)PresentationMathematicsOptimal designTheoretical methodsTRACE (psycholinguistics)

摘要: In this very concise presentation we outline some historical developments of optimization theories as applied to continuum mechanics and mechanical civil engineering designs trace the development various modern sensitivity techniques during period preceding twenty years. We difficulties progress made in overcoming them. also stress recently developed theoretical methods such "speed" method, group theoretic techniques, indicating their importance computer-aided technology. Finally, briefly possible future directions.

参考文章(46)
Gilbert Strang, L1 and L∞ Approximation of Vector Fields in the Plane North-holland Mathematics Studies. ,vol. 81, pp. 273- 288 ,(1983) , 10.1016/S0304-0208(08)72097-8
E.F. Masur, Z. Mróz, Singular Solutions in Structural Optimization Problems Variational Methods in the Mechanics of Solids#R##N#Proceedings of the IUTAM Symposium on Variational Methods in the Mechanics of Solids Held at Northwestern University, Evanston, Illinois, U.S.A., 11–13 September 1978. pp. 337- 343 ,(1980) , 10.1016/B978-0-08-024728-1.50059-8
Jean Céa, Edward J. Haug, Optimization of distributed parameter structures Noordhoff. ,(1981)
C. Truesdell, Leonhard Euler, Schweizerische Naturforschende Gesellschaft, The rational mechanics of flexible or elastic bodies, 1638-1788 : introduction to Leonhardi Euleri Opera omnia, vol. X et XI seriei secundae Auctoritate et impensis Societatis Scientiarum Naturalium Helveticae : Venditioni exponunt O. Füssli. ,(1960)
John David Logan, Invariant variational principles ,(1977)
Jean Céa, Lectures on optimization : theory and algorithms Published for the Tata Institute of Fundamental Reserch, Bombay [by] Narosa Publishing House, 1978. ,(1978)
W. Velte, P. Villaggio, Are the optimum problems in structural design well posed Archive for Rational Mechanics and Analysis. ,vol. 78, pp. 199- 211 ,(1982) , 10.1007/BF00280036