A Method for Analyzing Response Intervals of Structures with Interval Parameters Based on Hypervolume Iterative Strategy

Abstract

The invention discloses an analysis method for a structure response interval comprising interval parameters based on a hyper-volume iterative strategy. According to the method, a structure response variable is taken as a target function, the maximum / minimum value of the response is solved through an optimization algorithm, and therefore an upper / lower boundary of the response is determined. The adopted optimization algorithm is a global optimization algorithm based on the hyper-volume iterative strategy, a strategy of Simpson integral is adopted to self-adaptively arrange integral points within a range of uncertain parameters, the corresponding maximum / minimum value of the target function in the integral points is founded, then an integral point corresponding to the maximum / minimum value of the target function is taken as a starting point, the global maximum / minimum value is obtained on the basis of a Newton method, and namely the upper / lower boundary of the uncertain parameters which is propagated in a nonlinear system. According to the analysis method for the structure response interval comprising interval parameters based on the hyper-volume iterative strategy, under an uncertain input condition, the interval response propagation boundary of a structure can be determined accurately.

Description

Technical field [0001] The present invention relates to the field of uncertainty propagation of structural responses containing interval parameters, and in particular to an analysis method of structural response intervals containing interval parameters based on a hypervolume iteration strategy. The method is proposed based on a hypervolume iteration strategy global optimization algorithm. Background technique [0002] The modern engineering structure is complex and sophisticated, but due to the limitations of manufacturing process, lack of cognition, measurement errors and changes in environmental factors, uncertainty problems are widely present in engineering problems, so it is necessary to pay more attention to advanced values ​​in analysis and design Research on algorithms and design techniques. For complex systems, uncertain factors will make it difficult to determine the upper / lower bounds of the response interval due to the nonlinearity of the system. The current methods to...

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Problems solved by technology

Among many optimization methods, Newton's method is widely used in various optimization problems due to its fast convergence speed, but Newton's method is aimed at local optimization problems. When targeting global optimization problems, Newton's method and other algorithms based on gradient information will Stuck in the local optimal solution area and cannot jump out, so that the global optimal solution cannot be obtained

Heuristic algorithm is a kind of global optimization algorithm that is well developed now, including simulated annealing method, genetic algorithm, particle swarm algorithm, etc. This type of method is developed by simulating or revealing some natural phenomena or processes. Its ideas and contents involve Mathematics, physics, biological evolution, artificial intelligence, statistical mechanics, etc. provide new ideas and means for solving complex problems, but this type of method is a random algorithm without a clear convergence criterion

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