Journal ArticleDOI
Optimization of shape to minimize stress concentration
TLDR
In this paper, the problem of minimizing stress concentrations in machinery components is formulated as one of unconstrained minimization by incorporating all "side" constraints on design variables by use of penalty functions.Abstract:
The problem of minimizing stress concentrations in machinery components is formulated as one of unconstrained minimization by incorporating all ‘side’ constraints on design variables by use of penalty functions. Design parameters describing the transition are determined for an optimal fillet in a tension bar, as well as for a piston-rod ‘eye’. The procedure is generally applicable.read more
Citations
More filters
Journal ArticleDOI
Structural shape optimization — a survey
TL;DR: A survey of structural shape optimization with an emphasis on techniques dealing with shape optimization of the boundaries of two-and three-dimensional bodies is given in this paper, where the authors focus on the special problems of shape optimization which are due to a finite element model which must change during the optimization process.
Journal ArticleDOI
Isogeometric structural shape optimization
TL;DR: The presented isogeometric approach to shape optimization, the analysis model is inherently merged with the design model, omitting the typically involved interplay between both and derive analytical sensitivities for NURBS discretizations which allow application of efficient gradient-based optimization algorithms.
Journal ArticleDOI
Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
TL;DR: Expose d'une methode permettant d'obtenir rapidement une derivee directionnelle de la fonction de cout. Cas discret. Derivation par rapport aux «vrais» parametres dans le cas continu.
Journal ArticleDOI
A shape optimization approach based on natural design variables and shape functions
TL;DR: In this paper, a set of natural design variables are chosen as the design variables defining the shape of a structure, and the displacements produced by these fictitious loads, or natural shape functions, are added onto the initial mesh to obtain the new shape.
Journal ArticleDOI
A level set solution to the stress-based structural shape and topology optimization
TL;DR: In this article, a level set solution to the stress-based structural shape and topology optimization is proposed, and the optimization problem is formulated to minimize the global measure of stress subject to a constraint of material volume.
References
More filters
Journal ArticleDOI
A Rapidly Convergent Descent Method for Minimization
Roger Fletcher,M. J. D. Powell +1 more
TL;DR: A number of theorems are proved to show that it always converges and that it converges rapidly, and this method has been used to solve a system of one hundred non-linear simultaneous equations.
Book
Nonlinear Programming: Sequential Unconstrained Minimization Techniques
TL;DR: This report gives the most comprehensive and detailed treatment to date of some of the most powerful mathematical programming techniques currently known--sequential unconstrained methods for constrained minimization problems in Euclidean n-space--giving many new results not published elsewhere.
Journal ArticleDOI
A note on numerical computation of elastic contact problems
A. Francavilla,O. C. Zienkiewicz +1 more
Book ChapterDOI
On the Optimum Shape of a Fillet in a Flat Bar with Restrictions
TL;DR: In this paper, it was shown that the tangential edge stresses are constant for a flat bar in tension with a particular exponential variation of the height of the cross-section, and it has been demonstrated that stress concentrations can be totally avoided provided the fillet is sufficiently long.