Application of optimality criteria to automated structural design

Dobbs, Michael W.; Nelson, Richard D.

doi:10.2514/3.7232

Cited by 77 publications

(9 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A parametric optimization problem of a ten-bar cantilever truss (see Fig. 3.2) is widely used in the literature [3,6,14,16] in order to compare different methods for solving optimisation problems. The parametric optimisation problem is formulated as follows: to find unknown cross-sectional areas for each truss member   , 1,10…”

Section: Optimisation Of a Ten-bar Cantilever Trussmentioning

confidence: 99%

An improved gradient-based method to solve parametric optimisation problems of the bar structures

Peleshko

Yurchenko

2020

OMTC

View full text Add to dashboard Cite

The paper considers parametric optimisation problems for the bar structures formulated as nonlinear programming tasks. 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 optimisation problem. Equivalent Householder transformations of the resolving equations of the method have been proposed. They increase numerical efficiency of the algorithm developed based on the method under consideration. Additionally, proposed improvement for the gradient-based method also consists of equivalent Givens transformations of the resolving equations. They ensure acceleration of the iterative searching process in the specified cases described by the paper due to decreasing the amount of calculations. The comparison of the optimisation results of truss structures presented by the paper confirms the validity of the optimum solutions obtained using proposed improvement of the gradient-based method. The efficiency of the propoced improvement of the gradient-based method has been also confirmed taking into account the number of iterations and absolute value of the maximum violation in the constraints.

show abstract

Section: Optimisation Of a Ten-bar Cantilever Trussmentioning

confidence: 99%

An improved gradient-based method to solve parametric optimisation problems of the bar structures

Peleshko

Yurchenko

2020

OMTC

View full text Add to dashboard Cite

show abstract

“…All three categories of truss design optimization have been studied extensively. Early efforts in truss size optimization were carried out by Venkayya [1], Schmit and Farshi [2], and Dobbs and Nelson [3]. In addition, Goldberg and Samtani [4] and Rajeev and Krishnamoorthy [5] used evolutionary algorithms to solve the sizing optimization problem in truss design.…”

Section: Truss Optimization Problemsmentioning

confidence: 99%

Large-Scale Topology Optimization Using Parameterized Boolean Networks

Khetan

Allison

2014

Volume 2A: 40th Design Automation Conference

View full text Add to dashboard Cite

A novel parameterization concept for structural truss topology optimization is presented in this article that enables the use of evolutionary algorithms in design of large-scale structures. The representational power of Boolean networks is used here to parameterize truss topology. A genetic algorithm then operates on parameters that govern the generation of truss topologies using this random network instead of operating directly on design variables. A genetic algorithm implementation is also presented that is congruent with the local rule application of the random network. The primary advantage of using a Boolean random network representation is that a relatively large number of ground structure nodes can be used, enabling successful exploration of a large-scale design space. In the classical binary representation of ground structures, the number of optimization variables increases quadratically with the number of nodes, restricting the maximum number of nodes that can be considered using a ground structure approach. The Boolean random network representation proposed here allows for the exploration of the entire topology space in a systematic way using only a linear number of variables. The number of nodes in the design domain, therefore, can be increased significantly. Truss member geometry and size optimization is performed here in a nested manner where an inner loop size optimization problem is solved for every candidate topology using sequential linear programming with move-limits. The Boolean random network and nested inner-loop optimization allows for the concurrent optimization of truss topology, geometry, and size. The effectiveness of this method is demonstrated using a planar truss design optimization benchmark problem.

show abstract

“…For the optimality criteria method (OCM), Dobbs and Nelson (1976) developed a redesign formula based on Kuhn-Tucker condition. Kiusalaas and Shaw (1978) improved the numerical technique to multiple frequency constraints case.…”

Section: Effectsmentioning

confidence: 99%

“…The corresponding Kuhn-Tucker conditions which are the necessary conditions for minimizing F(t) [ Dobbs and Nelson, 1976 ] are:…”

Section: Natural Frequencymentioning

confidence: 99%

Optimum Design of Rotating Laminate Blade With Dynamic Behavior Constraints

Shiau

Kuo

1993

Volume 3B: General

View full text Add to dashboard Cite

The optimum design of rotating laminated blade subject to dynamic behavior constraint is investigated. The dynamic behavior constraints consist of restrictions on multiple natural frequencies as well as on maximum dynamic deflections of rotating laminated blade. The harmonic excitations are considered to simulate the aerodynamic forces acting on the blade. The optimization techniques of optimality criterion method and modified method of feasible directions have been successfully developed and applied to minimize the weight of rotating laminated blade. The effect of setting angles and rotating speed on the system dynamic behaviors as well as on the optimum design are also studied. The dynamic analysis shows that most of the bending modes can be significantly affected by rotating speed, setting angle, and the radius of disc. The results also indicate that the optimum weight will decrease with the increase of rotating speed for the multiple frequency constraints. The similar phenomena is also obtained for the dynamic response constraints. Moreover, the optimum weight of the dynamic response constraints case is higher than that of multiple frequency constraints case. This study presents that the weight of rotating laminated blade can be greatly reduced at optimum stage.

show abstract

Application of optimality criteria to automated structural design

Cited by 77 publications

References 4 publications

An improved gradient-based method to solve parametric optimisation problems of the bar structures

An improved gradient-based method to solve parametric optimisation problems of the bar structures

Large-Scale Topology Optimization Using Parameterized Boolean Networks

Optimum Design of Rotating Laminate Blade With Dynamic Behavior Constraints

Contact Info

Product

Resources

About