A nested genetic algorithm strategy for the optimal plastic design of frames

An innovative strategy for the optimal design of planar frames able to resist to seismic excitations is here proposed. The procedure is based on genetic algorithms (GA) which are performed according to a nested structure suitable to be implemented in parallel computing on several devices. In particular, this solution foresees two nested genetic algorithms. The first one, named "External GA", seeks, among a predefined list of profiles, the size of the structural elements of the frame which correspond to the most performing solution associated to the highest value of an appropriate fitness function. The latter function takes into account, among other considerations, of the seismic safety factor and the failure mode which are calculated by means of the second algorithm, named "Internal GA". The details of the proposed procedure are provided and applications to the seismic design of two frames of different size are described.

[1]  Mahmoud R. Maheri,et al.  An Enhanced Imperialist Competitive Algorithm for optimum design of skeletal structures , 2017, Swarm Evol. Comput..

[2]  Giulio Maier,et al.  Optimum design of plastic structures under displacement constraints , 1981 .

[3]  B. Neal Plastic Methods of Structural Analysis , 1963 .

[4]  F. Cannizzaro,et al.  A novel procedure for the assessment of the seismic performance of frame structures by means of limit analysis , 2020, Bulletin of Earthquake Engineering.

[5]  Panagiotis E. Mergos Efficient optimum seismic design of reinforced concrete frames with nonlinear structural analysis procedures , 2018 .

[6]  P S Symonds,et al.  THE CALCULATIONS OF COLLAPSE LOADS FOR FRAMED STRUCTURES , 1951 .

[7]  John Springfield Plastic design of low-rise frames , 1987 .

[8]  U. Netlogo Wilensky,et al.  Center for Connected Learning and Computer-Based Modeling , 1999 .

[9]  Mahmoud R. Maheri,et al.  Performance-based seismic design of steel frames using constraint control method , 2019, Advances in Structural Engineering.

[10]  Saptarshi Sasmal,et al.  Evaluation of Strength Hierarchy of Beam-Column Joints of Existing RC Structures under Seismic Type Loading , 2012 .

[11]  Ali Kaveh,et al.  Optimum seismic design of steel frames considering the connection types , 2017 .

[12]  F. Mazzolani,et al.  PLASTIC DESIGN OF SEISMIC RESISTANT STEEL FRAMES , 1997 .

[13]  E. Gaylord,et al.  Design of Steel Structures , 1972 .

[14]  F. Cannizzaro,et al.  Seismic collapse prediction of frame structures by means of genetic algorithms , 2016 .

[15]  Saeed Gholizadeh,et al.  Performance-based optimum seismic design of steel structures by a modified firefly algorithm and a new neural network , 2015, Adv. Eng. Softw..

[16]  Hyo Seon Park,et al.  A neural dynamics model for structural optimization—Application to plastic design of structures , 1995 .

[17]  Ahmed Y. Elghazouli,et al.  Rigid‐plastic models for the seismic design and assessment of steel framed structures , 2009 .

[18]  Siamak Talatahari,et al.  Optimum design of skeletal structures using imperialist competitive algorithm , 2010 .

[19]  F. Cannizzaro,et al.  Automatic evaluation of plastic collapse conditions for planar frames with vertical irregularities , 2018, Engineering with Computers.

[20]  Mitsuo Gen,et al.  Genetic algorithms and engineering optimization , 1999 .

[21]  W. Cassie Plastic Methods of Structural Analysis , 1957, Nature.

[22]  Manolis Papadrakakis,et al.  Performance-based multiobjective optimum design of steel structures considering life-cycle cost , 2006 .

[23]  Ali Kaveh,et al.  Optimal design of planar steel frame structures utilizing meta-heuristic optimization algorithms , 2020 .

[24]  Noël Challamel An application of large displacement limit analysis to frame structures , 2009 .

[25]  R. Hill The mathematical theory of plasticity , 1950 .

[26]  F. Cannizzaro,et al.  An improved ant colony optimization algorithm and its applications to limit analysis of frame structures , 2019, Engineering Optimization.

[27]  Sophie Pfeifer Plastic Design Of Frames , 2016 .