Journal ArticleDOI
An algorithm for optimal structural design with frequency constraints
Jaan Kiusalaas,Rhett C. J. Shaw +1 more
TLDR
A finite element method for minimum weight design of structures with lower-bound constraints on the natural frequencies, and upper and lower bounds on the design variables, essentially an iterative solution of the Kuhn-Tucker optimality criterion.Abstract:
The paper presents a finite element method for minimum weight design of structures with lower-bound constraints on the natural frequencies, and upper and lower bounds on the design variables. The design algorithm is essentially an iterative solution of the Kuhn-Tucker optimality criterion. The three most important features of the algorithm are: (1) a small number of design iterations are needed to reach optimal or near-optimal design, (2) structural elements with a wide variety of size-stiffness may be used, the only significant restriction being the exclusion of curved beam and shell elements, and (3) the algorithm will work for multiple as well as single frequency constraints. The design procedure is illustrated with three simple problems.read more
Citations
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Journal ArticleDOI
Structural optimization: A review and some recommendations
TL;DR: A brief review of the structural optimization literature and a description of the present status of optimization methods are presented and some conclusions and recommendations for future developments in structural optimization are presented.
Journal ArticleDOI
Structural optimization with frequency constraints
TL;DR: In this article, a design optimization algorithm for structural weight minimization with multiple frequency constraints was presented, where an optimality criterion based on uniform Lagrangian density for resizing and a scaling procedure to locate the constraint boundary were used in optimization.
Journal ArticleDOI
Optimum design of pin-jointed steel structures with practical applications
TL;DR: In this paper, an efficient optimum design algorithm is presented for the pinjointed steel structures subjected to multiple load cases, where displacement, stress, buckling, and minimum size constraints are considered.
Journal ArticleDOI
Structural optimization on geometrical configuration and element sizing with statical and dynamical constraints
Jiahao Lin,W. Y. Che,Y. S. Yu +2 more
TL;DR: In this paper, a bi-factor α-β algorithm based on the Kuhn-Tucker criteria is presented for the minimal weight design of a structure under statical and dynamical constraints.
References
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Journal ArticleDOI
Problems of Optimal Structural Design
William Prager,J. E. Taylor +1 more
TL;DR: Optimal sandwich structure design for stiffness, natural frequency, buckling load and safety through plasticity is discussed in this paper, where the optimal sandwich structure is optimized for stiffness and natural frequency.
Journal ArticleDOI
On the optimal design of a vibrating beam
TL;DR: In this article, the problem of finding the best possible tapering of a simply supported beam, which for a given volume would have the highest possible value of the natural frequency for the lowest mode of lateral vibrations, is dealt with.
Journal ArticleDOI
Design of minimum mass structures with specified natural frequencies.
TL;DR: In this paper, a numerical procedure is developed for proportioning the members of an elastic structure so that one or more of its natural frequencies assume given values and the total structural mass is a minimum.
Journal ArticleDOI
A New Structural Analysis/Synthesis Capability-ACCESS 1
Lucien A. Schmit,H. Miura +1 more
TL;DR: The creation of an efficient automated capability for minimum weight design of structures is reported, and the efficiency of the ACCESS 1 program is demonstrated by giving results for several example problems.
Journal ArticleDOI
Application of optimality criteria to automated structural design
TL;DR: The method is used to design several well-known truss-type structures and the results are shown to compare favorably with previous results obtained using mathematical programing algorithms and other optimality criteria methods.