TY  - JOUR
AB  - Studies the effect of parameters controlling the biological growth method by applying it to the classical optimization problem of a plate with a central hole under biaxial stress state. It has been found that the optimization character of the method depends strongly on the so‐called reference stress. Depending on the magnitude of this parameter either a local or global optimum is approached. A global optimum corresponds to the minimum possible v. Mises stress along the hole boundary (and hence in the plate), whereas a local optimum presents the modified shape of the hole yielding an uniform stress distribution whose magnitude is larger than the minimum possible value and which is equal to the specified reference stress. The magnification factor applied to the iterative displacement results influences the optimization speed. Too large factors lead to divergence of the solution. Furthermore, it has been found that the dimension of the optimization domain has a critical effect on the optimization result.
VL  - 13
IS  - 8
SN  - 0264-4401
DO  - 10.1108/02644409610152989
UR  - https://doi.org/10.1108/02644409610152989
AU  - Erman Tekkaya A.
AU  - Güneri Alper
PY  - 1996
Y1  - 1996/01/01
TI  - Shape optimization with the biological growth method: a parameter study
T2  - Engineering Computations
PB  - MCB UP Ltd
SP  - 4
EP  - 18
Y2  - 2024/04/19
ER  -