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A platform for research: civil engineering, architecture and urbanism
Continuum-Based Optimality Criteria (COC) Methods: An Introduction
Abstract After reviewing briefly problems and methods of structural optimization, continuum-based optimality criteria (COC) are presented for elastic design with stress and deflection constraints and then the criteria for optimal plastic design are derived as a special case of these general optimality conditions. The general proof of the proposed optimality criteria is formulated for a relaxed problem which requires only statical admissibility of the real and virtual stresses. Then it is shown by means of variational principles and an energy theorem that kinematic admissibility is ensured by an optimality condition. Alternate proofs on the basis of (a) the stationary mutual energy principle and (b) variational calculus (special case of Bernoulli-beams) is also given. Some of the criteria derived are interpreted in terms of a fictitious “adjoint” structure which has significant computational advantages in iterative procedures. Finally, reasons for non-fully-stressed solutions in stress design are explained through two analytical examples and a preview of the achievements of the iterative COC method is given.
Continuum-Based Optimality Criteria (COC) Methods: An Introduction
Abstract After reviewing briefly problems and methods of structural optimization, continuum-based optimality criteria (COC) are presented for elastic design with stress and deflection constraints and then the criteria for optimal plastic design are derived as a special case of these general optimality conditions. The general proof of the proposed optimality criteria is formulated for a relaxed problem which requires only statical admissibility of the real and virtual stresses. Then it is shown by means of variational principles and an energy theorem that kinematic admissibility is ensured by an optimality condition. Alternate proofs on the basis of (a) the stationary mutual energy principle and (b) variational calculus (special case of Bernoulli-beams) is also given. Some of the criteria derived are interpreted in terms of a fictitious “adjoint” structure which has significant computational advantages in iterative procedures. Finally, reasons for non-fully-stressed solutions in stress design are explained through two analytical examples and a preview of the achievements of the iterative COC method is given.
Continuum-Based Optimality Criteria (COC) Methods: An Introduction
Rozvany, G. I. N. (author) / Zhou, M. (author)
1993-01-01
26 pages
Article/Chapter (Book)
Electronic Resource
English
| Springer Verlag | 2009
Dual and Optimality Criteria Methods
| Springer Verlag | 1990
Dual and Optimality Criteria Methods
| Springer Verlag | 1992