Parametric Optimization of Steel Truss with Hollow Structural Members Based on Update Gradient Method

Yurchenko, V. A.; Peleshko, Ivan; Beliaev, N. A.

doi:10.1007/978-3-642-36691-8_16

“…The parametric optimization problem stated by Eqs. (2.1) -(2.3) can be successfully solved using gradient projection nonlinear methods [17,26] in cases when the purpose function and constraints of the mathematical model are continuously differentiable functions, as well as the search space is smooth [10,19]. The method of objective function gradient projection onto the active constraints surface with simultaneous correction of the constraints violations [8] ensures an effective search for the optimum solution [15].…”

Section: Problemsmentioning

confidence: 99%

Archives of Civil Engineering

Yurchenko,

Peleshko

2020

5

0

View full text Add to dashboard Cite

The paper considers parametric optimization problems for the steel bar structures formulated as nonlinear programming ones with variable unknown cross-sectional sizes of the structural members, as well as initial prestressing forces introduced into the specified redundant members of the structure. The system of constraints covers load-bearing capacity constraints for all the design sections of the structural members subjected to all the design load combinations at ultimate limit state, as well as displacement constraints for the specified nodes of the bar system, subjected to all design load combinations at serviceability limit state. The method of the objective function gradient projection onto the active constraints surface with simultaneous correction of the constraints violations has been used to solve the parametric optimization problem. A numerical technique to determine the optimal number of the redundant members to introduce the initial prestressing forces has been offered for high-order statically indeterminate bar structures. It reduces the dimension for the design variable vector of unknown initial prestressing forces for considered optimization problems.

show abstract

“…The most commonly used methods in the field are heuristic methods, however non-heuristic optimization methods have been used to solve structural optimization problems as well [16,17], though due to the complexity of sizing problems, these methods do not always give global solutions.…”

Section: Introductionmentioning

confidence: 99%

Effects of introducing dynamic constraints for buckling to truss sizing optimization problems

Petrović¹,

Marjanović²,

Kostić³

et al. 2018

View full text Add to dashboard Cite

show abstract

“…where L X  and U X  are the lower and upper bounds for the design variable X  . The parametric optimization problem stated as non-linear programming task by (1.1) -(1.3) can be successfully solved using a gradient projection non-linear methods [21] in cases if the purpose function and constraints of the mathematical model are continuously differentiable functions, as well as the search space is smooth [22,23]. The method of objective function gradient projection onto the active constraints surface with simultaneous correction of the constraints violations ensures effective searching for solution of the nonlinear programming tasks occurred when optimum designing of the building structures [24,25].…”

mentioning

confidence: 99%

Optimal numbers of the redundant members for introducing initial pre-stressing forces into steel bar structures

Yurchenko

¹

,

Peleshko

²

2021

OMTC

Self Cite

1

0

View full text Add to dashboard Cite

The paper considers parametric optimization problems for the steel bar structures formulated as nonlinear programming ones with variable unknown cross-sectional sizes of the structural members, as well as initial prestressing forces introduced into the specified redundant members of the structure. The system of constraints covers load-bearing capacity constraints for all the design sections of the structural members subjected to all the design load combinations at ultimate limit state, as well as displacement constraints for the specified nodes of the bar system, subjected to all design load combinations at serviceability limit state. The method of the objective function gradient projection onto the active constraints surface with simultaneous correction of the constraints violations has been used to solve the parametric optimization problem. A numerical technique to determine the optimal number of the redundant members to introduce the initial prestressing forces has been offered for high-order statically indeterminate bar structures. It reduces the dimension for the design variable vector of unknown initial prestressing forces for considered optimization problems.

show abstract

Parametric Optimization of Steel Truss with Hollow Structural Members Based on Update Gradient Method

Cited by 6 publications

References 0 publications

Archives of Civil Engineering

Archives of Civil Engineering

Effects of introducing dynamic constraints for buckling to truss sizing optimization problems

Optimal numbers of the redundant members for introducing initial pre-stressing forces into steel bar structures

Contact Info

Product

Resources

About