Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review
}
TY - GEN
T1 - Accuracy of design sensitivity for optimization of structural using small strain theory by finite element method
AU - Bhagate, Kiran A.
AU - Pawar, Prashant
AU - Singh , Arbind Kumar
AU - Ye, Jianqiao
PY - 2006
Y1 - 2006
N2 - Optimization of structures is always a fantasizing area for many researchers from past few decades. Many efforts have been taken in reducing the errors from the optimization process especially after advancement in computer faclities. The resulting structures are more efficient, economical and reliable. In traditional optimization techniques, the most important factor affecting on optimization process is the search direction which is the derivative of change in respose of structure due to change in design variables. This derivative is called as sensitivity derivative.Accuracy of sensitivity analysis is very much dependent on the method of structural analysis, technique of sensitivity calculation, computational efficiency etc. In this work, accuracy of sensitivity derivatives in elastic and plastic analyses are investigated on the basis of small strain theory. Combined with the Finite element method, which provides an excellent tool for the analysis of complex structures, the different techniques used for sensitivity calculations are finite difference method, semianalytical method and analytical method. Detail discussion of formulation and implementation of these methods are presented. Comparative study shows the relative error, cost of computation and efficiency of the above methods.From the results obtained, it can be stated that the finite difference method is the simplest technique that does not require access to the finite elemen analysis code and hence requires less efforts. However, this method is inefficient and less accurate. Analytical method is the most accurate method but its formulation and implementation is difficult as compared to other two metods. Semianalytical method is found to be a compromise of the two that results in more accurate solutions than from the finite diference method and is easy to implement as compared to the analytical method. The comparisons provide useful information for design engineers to decide a suitable method in the calculation of sensitivity erivatives for different structural optimization problems.
AB - Optimization of structures is always a fantasizing area for many researchers from past few decades. Many efforts have been taken in reducing the errors from the optimization process especially after advancement in computer faclities. The resulting structures are more efficient, economical and reliable. In traditional optimization techniques, the most important factor affecting on optimization process is the search direction which is the derivative of change in respose of structure due to change in design variables. This derivative is called as sensitivity derivative.Accuracy of sensitivity analysis is very much dependent on the method of structural analysis, technique of sensitivity calculation, computational efficiency etc. In this work, accuracy of sensitivity derivatives in elastic and plastic analyses are investigated on the basis of small strain theory. Combined with the Finite element method, which provides an excellent tool for the analysis of complex structures, the different techniques used for sensitivity calculations are finite difference method, semianalytical method and analytical method. Detail discussion of formulation and implementation of these methods are presented. Comparative study shows the relative error, cost of computation and efficiency of the above methods.From the results obtained, it can be stated that the finite difference method is the simplest technique that does not require access to the finite elemen analysis code and hence requires less efforts. However, this method is inefficient and less accurate. Analytical method is the most accurate method but its formulation and implementation is difficult as compared to other two metods. Semianalytical method is found to be a compromise of the two that results in more accurate solutions than from the finite diference method and is easy to implement as compared to the analytical method. The comparisons provide useful information for design engineers to decide a suitable method in the calculation of sensitivity erivatives for different structural optimization problems.
U2 - 10.1007/1-4020-5370-3_711
DO - 10.1007/1-4020-5370-3_711
M3 - Conference contribution/Paper
SN - 1402049943
SN - 978-1402049941
SP - 711
EP - 711
BT - III European Conference on Computational Mechanics
A2 - Motasoares, C. A.
A2 - Martins, J. A. C.
A2 - Rodrigues, H. C.
A2 - Ambrósio, Jorge A. C.
A2 - Pina, C. A. B.
A2 - Motasoares , C. M.
A2 - Pereira, E. B. R.
A2 - Folgado, J.
PB - Springer
CY - Berlin
ER -