TY  - BOOK
AU  - Mahmoud Samy Ibrahim Mohamed Abdelrahman
AU  - Sayed M. Metwalli , 
TI  - A generalization of the heuristic gradient projection for 2D and 3D frame optimization / 
PY  - 2017///
CY  - Cairo : 
PB  - Mahmoud Samy Ibrahim Mohamed Abdelrahman , 
KW  - 2-D frames
KW  - 3-D frames
KW  - Heuristic gradient projection
N1  - Thesis (M.Sc.) - Cairo University - Faculty of Engineering - Department of Mechanical Design and Production; Issued also as CD
N2  - This thesis introduces a generalization of the heuristic gradient projection (HGP) method for solving 2D and 3D frames. The main objective is to minimize the frame weight by means of size, topology and shape optimization while considering stress constraint activation. HGP can give a specific iterative equation for each element cross section and loading type and consequently reach the optimum solution in a relatively smaller number of iterations compared to general heuristic recursive equations. However, the solution of frames with combined loads applied on the elements might converge slowly or oscillate around the constrained optimum value. A new approach is developed using the weighting factor of different stress types subjected to the element.The developed method overcomes the combined loads problem and it shows a great enhancement in minimizing the number of iterations compared to previous developments of HGP
ER  -