OPTIMAL DESIGN OF ELASTIC CIRCULAR SANDWICH BEAMS FOR MINIMUM COMPLIANCE

Optimal Design of Elastic Circular Sandwich Beams for Minimum Compliance

Journal of Applied Mechanics ◽

10.1115/1.3408582 ◽

1970 ◽

Vol 37 (3) ◽

pp. 569-577 ◽

Cited By ~ 7

Author(s):

N. C. Huang ◽

C. Y. Sheu

Keyword(s):

Optimal Design ◽

Total Weight ◽

Sandwich Beams ◽

Minimum Compliance ◽

Ring Problem ◽

Uniform Beam ◽

End Conditions ◽

Circular Rings

Elastic circular sandwich beams are designed for minimum compliance and given total weight. To treat the problem in a more realistic manner, the beams are regarded as extensible. Examples are given for the optimal design of circular rings and semicircular arches with different end conditions. The calculated optimal compliance is compared with the corresponding compliance of a uniform beam with identical weight. The optimal design with stress bounds is also investigated for the ring problem.

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Optimal design of sandwich beams for elastic deflection and load factor at plastic collapse

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf01590424 ◽

1969 ◽

Vol 20 (3) ◽

pp. 289-297 ◽

Cited By ~ 5

Author(s):

Chin-Yuan. Sheu ◽

William Prager

Keyword(s):

Optimal Design ◽

Load Factor ◽

Plastic Collapse ◽

Sandwich Beams ◽

Elastic Deflection

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Multi-objective optimal design of hybrid viscoelastic/composite sandwich beams by using the generalized differential quadrature method and the non-dominated sorting genetic algorithm II

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-017-1695-3 ◽

2017 ◽

Vol 56 (4) ◽

pp. 885-901 ◽

Cited By ~ 6

Author(s):

Aytac Arikoglu

Keyword(s):

Genetic Algorithm ◽

Optimal Design ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Sandwich Beams ◽

Quadrature Method ◽

Viscoelastic Composite ◽

Multi Objective ◽

Composite Sandwich ◽

Generalized Differential

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Optimal design of beams with minimum compliance

International Journal of Non-Linear Mechanics ◽

10.1016/0020-7462(78)90012-4 ◽

1978 ◽

Vol 13 (1) ◽

pp. 33-42 ◽

Cited By ~ 11

Author(s):

Ülo Lepik

Keyword(s):

Optimal Design ◽

Minimum Compliance

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Three-point bending of physically asymmetric metal sandwich beams with aluminum foam core: failure behavior and optimal design

Composite Structures ◽

10.1016/j.compstruct.2021.114873 ◽

2021 ◽

pp. 114873

Author(s):

Mingshi Wang ◽

Xuehui Yu ◽

Jianxun Zhang ◽

Qinghua Qin

Keyword(s):

Optimal Design ◽

Aluminum Foam ◽

Failure Behavior ◽

Foam Core ◽

Sandwich Beams ◽

Three Point Bending

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Shape Optimal Structural Design Using Boundary Elements and Minimum Compliance Techniques

Journal of Mechanisms Transmissions and Automation in Design ◽

10.1115/1.3258604 ◽

1984 ◽

Vol 106 (4) ◽

pp. 518-523 ◽

Cited By ~ 39

Author(s):

C. A. Mota Soares ◽

H. C. Rodrigues ◽

K. K. Choi

Keyword(s):

Optimal Design ◽

Structural Design ◽

Degrees Of Freedom ◽

Boundary Elements ◽

Linearization Method ◽

Two Dimensional ◽

Structural Components ◽

Advantages And Disadvantages ◽

Minimum Compliance ◽

Element Technique

Shape optimal design of two-dimensional elastic components is formulated using boundary elements. The design objective is to minimize compliance of the structure, subject to an area constraint. All degrees of freedom of the model are at the boundary and there is no need for calculating displacements and stresses in the domain. Formulations based on linear and quadratic boundary elements are developed. The corresponding nonlinear programing problem is solved by Pshenichny’s linearization method. The model is applied to shape optimal design of several elastic structural components. The advantages and disadvantages of the boundary element method over the finite element technique for shape optimal design of structures are discussed, with reference to applications.

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