Abstract
In this paper, an efficient hybrid reliability analysis (HRA) method and a hybrid reliability-based design optimization (HRBDO) approach are proposed for realistic complex engineering structures with random and interval uncertainties. First, the HRBDO model for complex engineering structures is constructed with its objective and performance functions described as the implicit functions of design variables and random and interval parameters. Then, an efficient HRA method based on adaptive step size (ASS-HRA) is put forward to calculate the minimum reliability of the structure’s performance function under the influences of both random and interval uncertainties, the computational efficiency and accuracy of which are verified by a benchmark test. Subsequently, an efficient HRBDO approach integrating the proposed ASS-HRA method with the polynomial response surface model (PRSM) is developed for solving the HRBDO problems of complex engineering structures, the effectiveness of which is demonstrated by a numerical example. Finally, the HRBDO of a high-speed press slider demonstrates the efficiency, effectiveness, and versatility of the proposed HRBDO approach based on the ASS-HRA in the design of realistic complex engineering structures.
Highlights
Uncertain factors in material properties, load conditions, geometrical dimensions, and so on are unavoidable in practical engineering
This paper systematically investigates the hybrid reliability analysis (HRA) and hybrid reliability-based design optimization (HRBDO) of complex engineering structures with random and interval uncertainties
Where d is the l-dimensional design vector of a complex uncertain structure while dL and dU are its allowable minimum and maximum values; X is an m-dimensional random parameter vector; U is an n-dimensional interval parameter vector; f (d) is the objective function; gi(d, X, U) is the i-th performance function; p is the number of performance functions; Ri min is the minimum reliability of the i-th performance function; ηi is the i-th desired value of the minimum reliability index prescribed according to the reliability requirement on the uncertain structure
Summary
Uncertain factors in material properties, load conditions, geometrical dimensions, and so on are unavoidable in practical engineering. J. Cheng et al.: HRBDO of Complex Structures With Random and Interval Uncertainties Based on ASS-HRA an effective method to deal with the reliability problem that has few or insufficient statistical data. A new HRBDO approach integrating polynomial response surface model (PRSM), ASS-HRA and genetic algorithm (GA) is developed for complex practical engineering structures with implicit performance functions of strong nonlinearity. The proposed HRBDO approach based on ASS-HRA can provide an efficient and versatile design optimization method for realistic complex engineering structures with probabilistic and non-probabilistic uncertainties. This rest of the paper is organized as follows.
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