Topology and performance redesign of complex structures by large admissible perturbations

Suryatama, Danet; Bernitsas, Michael M.

doi:10.1007/s001580050145

Cited by 10 publications

(3 citation statements)

References 19 publications

(53 reference statements)

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“…In this appendix, the general perturbation equation for static deflection with static mode compensation is derived (Suryatama and Bernitsas 2000). (16) can be written as…”

Section: Appendix A: General Perturbation Equation For Static Deflectmentioning

confidence: 99%

“…However, the performance-based features of a structure can be any of the following or combinations thereof: static displacements, natural frequencies, forced dynamic amplitudes, and static stresses. The LargE Admissible Perturbation (LEAP) theory, introduced into topology redesign by Suryatama and Bernitsas (2000), makes it possible to impose several performance constraints simultaneously.…”

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confidence: 99%

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Topology redesign for performance by large admissible perturbations

Miao

Bernitsas

2006

Struct Multidisc Optim

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A methodology is developed for optimal structural topology design subject to several performance constraints. Eight-node solid elements are used to model the initial structure, which is a uniform solid block satisfying the boundary conditions and subjected to external loading. The Young modulus of each solid element or group of elements is used as redesign variable. A minimum change function is used as an optimality criterion. Performance constraints include static displacements, natural frequencies, forced response amplitudes, and static stresses. These constraints are treated by the large admissible perturbation methodology which makes it possible to achieve the performance objectives incrementally without trial and error or repetitive finite element analyses for changes in the order of 100-300%. Thus, the optimal topology is reached in about four to five iterations, where each iteration includes one finite element analysis and setting of an upper limit for the value of the modulus of elasticity to produce a manufacturable structure. Several numerical applications are presented using three different benchmark structures to demonstrate the methodology and the impact of performance constraints on the generated topology. Keywords Topology • Performance • Optimization • Structural redesign • Large admissible perturbations 1 Background The goal of structure optimization is to improve the performance of any given objective set in a structural environment

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“…In this appendix, the general perturbation equation for static deflection with static mode compensation is derived (Suryatama and Bernitsas 2000). (16) can be written as…”

Section: Appendix A: General Perturbation Equation For Static Deflectmentioning

confidence: 99%

mentioning

confidence: 99%

Topology redesign for performance by large admissible perturbations

Miao

Bernitsas

2006

Struct Multidisc Optim

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“…The calculus of small structural change using perturbations based redesign methods have been introduced by Stetson and Palma (1976) for the large admissible perturbation methodology (LEAP). Using the evolutionary structural optimization method, the LEAP methodology was developed by Suryatama and Bernitsas (2000); Miao and Bernitsas (2006) to optimize structures. The optimal design of shallow foundations can include information on topology, shape and size optimization.…”

Section: Introductionmentioning

confidence: 99%

On The Optimal Forms Finding of Shallow Foundations Made Up of Four Foothills with Explicit Considerations of Structural Perturbations

Mbock¹,

Magloire²,

Domingo³

et al. 2019

Int J Math, Eng, Manag Sci

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In the absence of the exact footing form of shallow foundations, we develop a procedure to determine the optimal footing form made up of four foothills from the knowledge of the inexact footing forms. The structural perturbations that are the major cause of the inexact forms are approximated in linear elastic model whose the solution is used to formulate the evolutionary structural optimization problem. To stabilize the solution, a serial of decisions is made to minimize structural perturbations in finite element modeling, initial volume and design constraints. By using the evolutionary structural optimization technique, we examine if the material of efficient and inefficient perturbations is needed or not on the points of inexact forms. Our analysis shows that the loading forces can be transferred to structural perturbations when they are efficient and used to reinforce the design material. This transfer can modify geometric elements of footing in finite element analysis and the optimal solution. The results of the numerical experiment provide the optimal footing form of shallow foundation, the sizes of associated foothills and the form of inefficient perturbations. This approach allows to redesign the structures from the inexact forms and detects the errors of dimensioning.

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Topology and shape optimization of structures using FEM and BEM

Mackerle

2003

Finite Elements in Analysis and Design

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Topology and performance redesign of complex structures by large admissible perturbations

Cited by 10 publications

References 19 publications

Topology redesign for performance by large admissible perturbations

Topology redesign for performance by large admissible perturbations

On The Optimal Forms Finding of Shallow Foundations Made Up of Four Foothills with Explicit Considerations of Structural Perturbations

Topology and shape optimization of structures using FEM and BEM

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