TY - EJOU
AU - Jiang, C.
AU - Bai, Y.C.
AU - Han, X.
AU - Ning, H.M.
TI - An Efficient Reliability-based Optimization Method for Uncertain Structures Based on Non-probability Interval Model
T2 - Computers, Materials \& Continua
PY - 2010
VL - 18
IS - 1
SN - 1546-2226
AB - In this paper, an efficient interval optimization method based on a reliability-based possibility degree of interval (RPDI) is suggested for the design of uncertain structures. A general nonlinear interval optimization problem is studied in which the objective function and constraints are both nonlinear and uncertain. Through an interval order relation and a reliability-based possibility degree of interval, the uncertain optimization problem is transformed into a deterministic one. A sequence of approximate optimization problems are constructed based on the linear approximation technique. Each approximate optimization problem can be changed to a traditional linear programming problem, which can be easily solved by the simplex method. An iterative framework is also created, in which the design space is updated adaptively and a fine optimum can be well reached. Two numerical examples are investigated to demonstrate the effectiveness of the present method. Finally, it is employed to perform the optimization design of a practical automobile frame.
KW - Structural optimization
KW - Uncertainty
KW - Interval
KW - Reliability
KW - Possibility of degree
DO - 10.3970/cmc.2010.018.021