Optimal design of flexible rectangular plates on a nonlinearly elastic base

1986 ◽  
Vol 22 (4) ◽  
pp. 350-354
Author(s):  
V. A. Krys'ko ◽  
T. A. Bochkareva
Keyword(s):  
Optimal Design ◽  
Elastic Base ◽  
Rectangular Plates ◽  
Nonlinearly Elastic

Vibrations and stability of compressed rectangular plates on an elastic base

1980 ◽  
Vol 16 (4) ◽  
pp. 337-341 ◽  
Author(s):  
M. P. Petrenko ◽  
R. P. Barsuk
Keyword(s):  
Elastic Base ◽  
Rectangular Plates

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.

Optimal Design of Vibration Absorber Systems Supported by Elastic Base

1992 ◽  
Vol 114 (2) ◽  
pp. 280-283
Author(s):  
H. Ashrafiuon
Keyword(s):  
Optimal Design ◽  
Damping Ratio ◽  
Equations Of Motion ◽  
Elastic Base ◽  
Design Parameters ◽  
Primary System ◽  
Vibration Absorbers ◽  
Equivalent Damping ◽  
System Equations ◽  
Flexible Models

This paper presents the effect of foundation flexibility on the optimum design of vibration absorbers. Flexibility of the base is incorporated into the absorber system equations of motion through an equivalent damping ratio and stiffness value in the direction of motion at the connection point. The optimum values of the uncoupled natural frequency and damping ratio of the absorber are determined over a range of excitation frequencies and the primary system damping ratio. Optimal design parameters are computed and compared for the rigid, and flexible models of the base as well as different levels of base flexibility.

Calculation of rectangular plates on an elastic base on the BESM-2M electronic computer

1967 ◽  
Vol 4 (1) ◽  
pp. 40-44 ◽  
Author(s):  
A. M. Gorlov ◽  
R. V. Serebryani ◽  
V. P. Ignatov ◽  
B. L. Fayans
Keyword(s):  
Electronic Computer ◽  
Elastic Base ◽  
Rectangular Plates

A circular axisymmetrically loaded plate on a nonlinearly elastic base

1967 ◽  
Vol 3 (7) ◽  
pp. 71-73
Author(s):  
V. M. Dolinskii ◽  
B. S. Koval'skii
Keyword(s):  
Elastic Base ◽  
Loaded Plate ◽  
Nonlinearly Elastic

scholarly journals ON THE DYNAMIC STRESSED-DEFORMED STATE OF ISOTROPIC RECTANGULAR PLATES ON AN ELASTIC BASE WITH VIBRATION LOADS.

2020 ◽  
Vol 82 (02) ◽  
pp. 362-367
Author(s):  
Ismoil Ibragimovich Safarov ◽  
◽  
Nurillo Raximovich Kulmuratov ◽  
Matlab Raxmatovich Ishmamatov ◽  
Nasriddin Bahodirovich Axmedov ◽  
...  
Keyword(s):  
Elastic Base ◽  
Rectangular Plates ◽  
Deformed State ◽  
Vibration Loads
Sign in / Sign up

Export Citation Format

Share Document