Optimal design of rigid-plastic annular plates with piecewise constant thickness

1992 ◽  
Vol 4 (3-4) ◽  
pp. 186-192 ◽  
Author(s):  
A. Salupere
Keyword(s):  
Optimal Design ◽  
Constant Thickness ◽  
Rigid Plastic ◽  
Piecewise Constant ◽  
Annular Plates

Optimal design of a cylindrical composite panel of piecewise constant thickness

2017 ◽  
Vol 13 (4) ◽  
pp. 568-577 ◽  
Author(s):  
Ernest Belybekyan ◽  
Arevshat Poghosyan ◽  
Hayk Sharkhatunyan
Keyword(s):  
Optimal Design ◽  
Optimal Choice ◽  
Composite Panel ◽  
Constant Thickness ◽  
Physical Parameters ◽  
Strength Increase ◽  
Constant Weight ◽  
Content Type ◽  
Piecewise Constant ◽  
Fixed Weight

Purpose The purpose of this paper is to investigate the problem of optimizing geometrical and physical parameters of a stepped shell that maximize its rigidity and strength for given overall shell dimensions and fixed weight equal to the weight of a shell of constant thickness. Design/methodology/approach A mathematical model of the construction’s stress-strain state is described by solving a system of differential equations for each of the constituent parts of the shell, conjugation conditions on the division lines and boundary conditions. The stated optimization problem is reduced to a nonlinear programming problem, which is solved by the deformable polyhedron method in combination with the method of direct search and using the parallel computing package in the Wolfram Mathematica software application. Findings As follows from the results of the calculation, optimizing the shell parameters allows for a substantial increase in rigidity (decrease of the greatest deflection) and strength (increase of the load-carrying capacity) of the shell of constant stepwise thickness, as opposed to a shell of constant thickness, with constant weight and dimensions. Originality/value A problem of optimal design of a cylindrical composite panel of piecewise constant thickness is solved in the presented work. Numerical examples demonstrate that a substantial increase in rigidity and strength of a stepped composite shell can be achieved by the optimal choice of its geometrical and physical parameters.

Optimal design of rigid-plastic beams subjected to dynamical loading

1999 ◽  
Vol 18 (2-3) ◽  
pp. 116-125
Author(s):  
T. Lepikult ◽  
W. H. Schmidt ◽  
H. Werner
Keyword(s):  
Optimal Design ◽  
Rigid Plastic ◽  
Dynamical Loading

Optimal design of rigid-plastic beams subjected to dynamical loading

1999 ◽  
Vol 18 (2) ◽  
pp. 116
Author(s):  
T. Lepikult ◽  
W.H. Schmidt ◽  
H. Werner
Keyword(s):  
Optimal Design ◽  
Rigid Plastic ◽  
Dynamical Loading

Optimal Design of a Nonhomogeneous Annular Disk Under Pressure Loadings

1994 ◽  
Vol 116 (4) ◽  
pp. 989-996
Author(s):  
Chung-Yun Gau ◽  
Souran Manoochehri
Keyword(s):  
Optimal Design ◽  
Young’S Modulus ◽  
Variable Thickness ◽  
Volume Fraction ◽  
Young's Modulus ◽  
Yield Criterion ◽  
Constant Thickness ◽  
Annular Disk ◽  
Disk Thickness ◽  
Thickness Variations

A method for the design of nonhomogeneous, variable-thickness, annular disks under internal and external pressures satisfying Tresca yield criterion is presented in this paper. The effects of varying the disk thickness and stiffness properties to achieve a fully stressed design are investigated. Analytical solutions for distributions of Young’s modulus and disk thickness variations have been developed for the case of fully stressed designs. Examples are given for three different cases, namely, constant thickness with variable Young’s modulus, variable thickness with constant Young’s modulus, and variable thickness with variable Young’s modulus. In the last case, due to the existence of many alternative solutions, optimal design techniques have been utilized. Application of the developed methodology for optimal designs of short fiber composites with random fiber orientations is discussed. The optimization results of fiber volume fraction distributions and thickness variations for a disk made of nylon 66 matrix with E glass fiber are given under specified pressure loadings.

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