Computational implementation of global optimization of anti-seismic design for multilevel hierarchical engineering systems

Based on the engineering background of anti-seismic design and by using the structural earthquake protection intensity as variables, the systematic global optimization methods, which comply with the structural character of the multilevel hierarchical engineering system, are developed and implemented. At first, a large-scale system is partitioned into global and local levels in the context of optimization, and a discrete optimization method is proposed for the elementary level. Secondly, from the study of elementary systems, the efficient minimizing approaches and corresponding schemes for the discrete goal functions are put forward to form the second level. According to the logical structure of multilevel hierarchical engineering systems, two kinds of the global optimization methods, the coupling and the decomposition methods, are presented respectively, which constitute the first level. Lastly, an analytical program for a general purpose is successfully developed in terms of a well-designed datasheet. A number of examples are conducted to demonstrate the speed, accuracy and stability of the methods.