Story stiffness optimization of frame subjected to earthquake under uniform displacement criterion
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INDUSTRIAL APPLICATION PAPER
Story stiffness optimization of frame subjected to earthquake under uniform displacement criterion Shan Wu 1 & Haoxiang He 1
&
Shitao Cheng 1 & Yifei Chen 1
Received: 12 February 2020 / Revised: 13 July 2020 / Accepted: 7 October 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The story stiffness of frame structure can affect the response of the structure under earthquake. By the reasonable optimization of stiffness distribution, the safety of frame structure can be improved. In order to improve the efficiency of the existing optimization algorithm, a hybrid heuristic algorithm combining particle swarm optimization (PSO) and differential evolution algorithm (DE) is proposed. The local optimal solution is obtained by DE, which is used as the random initial solution of PSO to get the optimal result quickly. Based on the hybrid heuristic algorithm, the story stiffness of the frame structure is optimized. Under the seismic action, the uniform or similar displacement between the stories of the frame structure with bending and shearing deformation is taken as the optimization objective, and the optimal story stiffness distribution is the optimization variable. Finally, the uniform displacement is achieved, and the optimal story stiffness distribution of the frame structure is obtained. The optimal stiffness distribution formula is obtained by the curve fitting method. The results show that the proposed hybrid algorithm can significantly improve the computational efficiency. Compared with the existing optimal story stiffness distribution, the accuracy of the proposed optimization results is higher, and the optimization results are less affected by the randomness of ground motion. Keywords Seismic optimum design . Stiffness distribution . Uniform displacement . Seismic action . Hybrid algorithm . Computational efficiency
1 Introduction The building structure will deform under seismic action. If the design scheme is unreasonable, the structural deformation will exceed the design threshold and the resistance is insufficient. Therefore, it is necessary to optimize the aseismic design of the structure according to the engineering demands and structure form. The optimum design of a building structure can satisfy the requirements of the code for seismic design and ensure that the important performance index of the structure is optimal or sup-optimal to realize the performance-based seismic design concept. In addition, it can significantly reduce the cost of construction and maximize the investment benefit. In recent years, the tremendous damage caused by frequent Responsible Editor: Palaniappan Ramu * Haoxiang He [email protected] 1
Beijing Key Lab of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, China
strong earthquakes to building structures has made researchers increasingly focus on the importance of the structural seismic optimization design and the limitations of the current optimization methods and objectives.
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