Optimal Design of Elastic-Plastic Structures

Cinquini, Carlo; Contro, R.

doi:10.1007/978-3-642-83051-8_8

Cited by 7 publications

(9 citation statements)

References 4 publications

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“…Indeed, in case (1), relations (21) and (25) are equivalent to (1)(2) R i = const 1-2 ; i= 1; : : : ; n (30) R i = const 2-2 ; i= 1; : : : ; n…”

Section: General Algorithm For Solving P2mentioning

confidence: 98%

“…Then using the design parameters (2) obtained upon (iii) accomplishment we go to (ii) via (iv). Let us consider the accomplishment of step (ii) to be composed of two sub-steps.…”

Section: General Algorithm For Solving P2mentioning

confidence: 99%

“…where element forces which correspond to (2) are given. Let us mark all values which correspond to the results of the sub-step by the left superscript (2-2).…”

Section: General Algorithm For Solving P2mentioning

confidence: 99%

“…Minimize structural volume value taking into account sti ness constraint; stress constraints and technology constraints (2) Member parameters, namely, rod and beam cross-sectional areas, membrane thickness values, etc., are design variables in (2). Hereinafter, we refer to constraints on minimal values of design parameters as technology constraints.…”

Section: The General Optimization Problemmentioning

confidence: 99%

“…Let us consider the accomplishment of step (ii) to be composed of two sub-steps. During the ÿrst sub-step we determine an equi-stress structure of prescribed volume value (2) …”

Section: General Algorithm For Solving P2mentioning

confidence: 99%

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Optimization algorithms for physically non‐linear structures

Selyugin¹

2001

Numerical Meth Engineering

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SUMMARYA family of numerical methods and algorithms targeted to the optimization of physically non-linear structures is proposed. The structures are described using ÿnite element approach, they are supposed to be loaded by single static loading. It is assumed that various types of ÿnite elements are used for the description. Buckling e ects are neglected. Sizing design variables with prescribed lower limits are considered. The numerical approach is based on the use of physically non-linear hyperelastic (PNH) model for the description of active loading process for the physically non-linear structures. Three optimization sub-problems for the PNH structures are considered. Variational principles for the structures as well as optimality conditions and particular solutions of the sub-problems are used for the development of algorithms intended for numerical solution of the sub-problems. Geometrical interpretation of the algorithms is presented. Monotonicity properties of the algorithms are proved under some assumptions. It is indicated how the algorithms may be used for the general case of optimization of physically non-linear structure under single loading. Numerical examples are presented. Monotonicity of the algorithms is demonstrated. It is noted that no numerical problems arise when some structural members degenerate during numerical process.

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“…Indeed, in case (1), relations (21) and (25) are equivalent to (1)(2) R i = const 1-2 ; i= 1; : : : ; n (30) R i = const 2-2 ; i= 1; : : : ; n…”

Section: General Algorithm For Solving P2mentioning

confidence: 98%

“…Then using the design parameters (2) obtained upon (iii) accomplishment we go to (ii) via (iv). Let us consider the accomplishment of step (ii) to be composed of two sub-steps.…”

Section: General Algorithm For Solving P2mentioning

confidence: 99%

“…where element forces which correspond to (2) are given. Let us mark all values which correspond to the results of the sub-step by the left superscript (2-2).…”

Section: General Algorithm For Solving P2mentioning

confidence: 99%

Section: The General Optimization Problemmentioning

confidence: 99%

“…Let us consider the accomplishment of step (ii) to be composed of two sub-steps. During the ÿrst sub-step we determine an equi-stress structure of prescribed volume value (2) …”

Section: General Algorithm For Solving P2mentioning

confidence: 99%

See 3 more Smart Citations

Optimization algorithms for physically non‐linear structures

Selyugin¹

2001

Numerical Meth Engineering

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Structural Optimization

1985

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Sensitivity analysis and optimum design of elastic-plastic structural systems

Cazzani

Rovati

1991

Meccanica

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The paper deals with elastic-plastic optimization of flexural structural systems, subjected to kinematic restrictions. A finite holonomic piecewise linear elastic-hardening constitutive law is adopted. Sensitivity analysis for the displacement field is also performed, and a suitable finite element formulation, allowing for the spreading of plasticity, is also given. Finally, some meaningful numerical applications, together with their physical interpretation, are presented

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Optimal Design of Elastic-Plastic Structures

Cited by 7 publications

References 4 publications

Optimization algorithms for physically non‐linear structures

Optimization algorithms for physically non‐linear structures

Structural Optimization

Sensitivity analysis and optimum design of elastic-plastic structural systems

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