OPTIMAL DESIGN OF INTERNAL RING SUPPORT FOR RECTANGULAR PLATES AGAINST VIBRATION OR BUCKLING

1996 ◽  
Vol 193 (2) ◽  
pp. 545-554 ◽  
Author(s):  
Y. Xiang ◽  
C.M. Wang ◽  
S. Kitipornchai
Keyword(s):  
Optimal Design ◽  
Rectangular Plates ◽  
Internal Ring ◽  
Ring Support

scholarly journals On material optimisation for nonlinearly elastic plates and shells

2020 ◽  
Vol 26 ◽  
pp. 82
Author(s):  
Peter Hornung ◽  
Martin Rumpf ◽  
Stefan Simon
Keyword(s):  
Optimal Design ◽  
Axial Direction ◽  
Stationary Points ◽  
Rectangular Plates ◽  
Material Distribution ◽  
Elastic Plates ◽  
Compliance Cost ◽  
Element Discretization ◽  
Plates And Shells ◽  
Isometric Deformations

This paper investigates the optimal distribution of hard and soft material on elastic plates. In the class of isometric deformations stationary points of a Kirchhoff plate functional with incorporated material hardness function are investigated and a compliance cost functional is taken into account. Under symmetry assumptions on the material distribution and the load it is shown that cylindrical solutions are stationary points. Furthermore, it is demonstrated that the optimal design of cylindrically deforming, clamped rectangular plates is non trivial, i.e. with a material distribution which is not just depending on one axial direction on the plate. Analytical results are complemented with numerical optimization results using a suitable finite element discretization and a phase field description of the material phases. Finally, using numerical methods an outlook on the optimal design of non isometrically deforming plates and shells is given.

scholarly journals Buckling of FG circular/annular Mindlin nanoplates with an internal ring support using nonlocal elasticity

2016 ◽  
Vol 40 (4) ◽  
pp. 3185-3210 ◽  
Author(s):  
Mohammad Bedroud ◽  
Reza Nazemnezhad ◽  
Shahrokh Hosseini-Hashemi ◽  
Mohammad Valixani
Keyword(s):  
Nonlocal Elasticity ◽  
Internal Ring ◽  
Ring Support

OPTIMAL DESIGN OF INTERNAL RING SUPPORTS FOR VIBRATING CIRCULAR PLATES

1999 ◽  
Vol 219 (3) ◽  
pp. 525-537 ◽  
Author(s):  
F.S. Chou ◽  
C.M. Wang ◽  
G.D. Cheng ◽  
N. Olhoff
Keyword(s):  
Optimal Design ◽  
Internal Ring ◽  
Circular Plates

Vibration Behavior and Simplified Design of Thick Rectangular Plates With Variable Thickness

2002 ◽  
Vol 124 (2) ◽  
pp. 302-309 ◽  
Author(s):  
M. Sasajima ◽  
T. Kakudate ◽  
Y. Narita
Keyword(s):  
Optimal Design ◽  
Boundary Conditions ◽  
Fundamental Frequency ◽  
Plate Theory ◽  
Free Vibration Analysis ◽  
Design Approach ◽  
Mindlin Plate ◽  
Thickness Variation ◽  
Rectangular Plates ◽  
Classical Plate Theory

A free vibration analysis and an optimal design approach have been presented for thick isotropic rectangular plates with varying thickness under general edge conditions. First, the analysis is developed for vibrating rectangular plates by using the Mindlin plate theory and an eigenvalue problem is formulated by extending a method of Ritz to arbitrary sets of standard boundary conditions. The classical plate theory is also used to derive the frequency equation for comparison purpose. Secondly, a simplified optimal design approach is proposed to maximize the fundamental frequency of the plates. In applying this approach, the thickness variation is assumed to be linear in one direction and a taper ratio is chosen to be a design variable that represents the whole plate design. This approach significantly reduces the process for obtaining optimal or nearly optimal design under constraint of the constant plate volume. Numerical results are presented for various sets of boundary conditions, thickness ratio and two different plate theories, and their effects on the optimal taper ratio and its corresponding maximized fundamental frequency are discussed.

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