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