Evolutionary optimization of steel trusses with the nodal joints of rods

Abstract

This article describes the process of constructing a genetic parametrical-optimization algorithm of trusses with the possibility of account the cost of manufacturing the nodal joints of rods. Accounting nodal joints in the process of parametric design synthesis will allow finding bearing systems with rational cost of their production. Parametric optimization was performed on the basis of modified genetic algorithm with constraints on the strength, stiffness and stability of the bearing system. The multipoint crossover and mutation operators and weakly interacting populations were used. The objective function takes into account the specific manufacturing of nodal joints for trusses with profiles of sections as binary angles. The cost of nodes is calculated on the basis of labor costs and materials used in the design of welded joints. А computational scheme for optimizing steel trusses of rods with profiles as paired angle sections and welded nodal joints is developed. The proposed iterative procedure is based on an efficient evolutionary algorithm for parametric synthesis of bearing systems that takes into account the valuation of materials and labor cost for the production of the structure. The example of optimal designing a secondary truss in frame building is considered. The solutions obtained as a result of optimization, considering the cost of nodes and not considering it, are compared. The above example confirms the efficiency of the proposed computational procedures

Investigation of mechanical state of spatial roof from steel trusses on asymmetric building

“…The numerical simulation methods are considered to be the most convenient and important means used in modern computational mechanics. These methods become more efficient when creating and employing an original calculation algorithm for a specific structure to be designed [5][6][7][8][9][10][11][12][13][14][15].…”

Inductive analysis of the deflection of a beam truss allowing kinematic variation

“…where 22 c a h  . The calculation of a series of trusses reveals sequences of coefficients for 3 a , 33 , hc . Operators of the Maple system rgf_findrecur and rsolve from the solution of recurrence equations give the following patterns ( 1) 1) 3( 1) 3) / 6, (2) gives the solution of the problem posed for the load along the lower belt of the truss.…”

“…We introduce a new parameter n = 2k -1. The displacement of the middle node of the lower belt is determined by the Maxwell-Mohr's formula 3 ( 2 It is indicated: i l -the length of the rods, () P i S -the forces in the rods from the given load, (1) i S -the forces from the unit force applied to the knot of the lower belt in the middle of the span, E is the modulus of elasticity of the rods, and F is the area of their cross sections.…”

“…Numerical methods for calculating rod systems [1][2][3][4][5] have an alternative. With the advent of mathematical systems (Maple, Mathematica, Derive, Reduce) producing symbolic operations, it became possible to derive finite formulas for various characteristics of the stress-strain state of the trusses.…”

Analytical calculation of the deflection of the lattice truss

“…In design practice, all calculations for the strength, stability and endurance of rod structures are performed numerically [1][2][3][4][5]. Optimization problems are also solved numerically [6][7][8][9].…”