A semi-analytical solution on static analysis of circular plate exposed to non-uniform axisymmetric transverse loading resting on Winkler elastic foundation

2014 ◽  
Vol 14 (3) ◽  
pp. 476-488 ◽  
Author(s):  
S. Abbasi ◽  
F. Farhatnia ◽  
S.R. Jazi
Keyword(s):  
Analytical Solution ◽  
Static Analysis ◽  
Circular Plate ◽  
Elastic Foundation ◽  
Transverse Loading ◽  
Winkler Elastic Foundation

scholarly journals Peridynamic Model for a Mindlin Plate Resting on a Winkler Elastic Foundation

2020 ◽  
Vol 2 (3) ◽  
pp. 229-242
Author(s):  
Bozo Vazic ◽  
Erkan Oterkus ◽  
Selda Oterkus
Keyword(s):  
Elastic Foundation ◽  
Fracture Behaviour ◽  
Mindlin Plate ◽  
Winkler Foundation ◽  
Transverse Loading ◽  
Dynamic Relaxation ◽  
Pure Bending ◽  
Fracture Patterns ◽  
Winkler Elastic Foundation ◽  
Peridynamic Model

AbstractIn this study, a peridynamic model is presented for a Mindlin plate resting on a Winkler elastic foundation. In order to achieve static and quasi-static loading conditions, direct solution of the peridynamic equations is utilised by directly assigning inertia terms to zero rather than using widely adapted adaptive dynamic relaxation approach. The formulation is verified by comparing against a finite element solution for transverse loading condition without considering damage and comparing against a previous study for pure bending of a Mindlin plate with a central crack made of polymethyl methacrylate material having negligibly small elastic foundation stiffness. Finally, the fracture behaviour of a pre-cracked Mindlin plate rested on a Winkler foundation subjected to transverse loading representing a floating ice floe interacting with sloping structures. Similar fracture patterns observed in field observations were successfully captured by peridynamics.

A new analytical solution for elastic flexure of thick multi-layered composite hybrid plates resting on Winkler elastic foundation in air and water

2021 ◽  
Vol 235 ◽  
pp. 109372
Author(s):  
Soheil Gohari ◽  
Saeed Mouloodi ◽  
F. Mozafari ◽  
Reza Alebrahim ◽  
N. Moslemi ◽  
...  
Keyword(s):  
Analytical Solution ◽  
Elastic Foundation ◽  
Layered Composite ◽  
Winkler Elastic Foundation

Measuring the Deflection of a Circular Plate on an Elastic Foundation and Comparison with Analytical and FE Approaches

2014 ◽  
Vol 684 ◽  
pp. 407-412 ◽  
Author(s):  
Richard Klučka ◽  
Karel Frydrýšek ◽  
Miroslav Mahdal
Keyword(s):  
Analytical Solution ◽  
Circular Plate ◽  
Elastic Foundation ◽  
Analytical Solutions ◽  
Laboratory Testing ◽  
Bending Moment ◽  
Winkler Foundation ◽  
Measurement Apparatus ◽  
Plate Measurement

The solution of the interaction between a structure and its foundation is an important problem in mechanics and technical applications. This paper presents a solution of a circular plate rested on an elastic (Winkler) foundation. A jig was created for the purpose of loading a circular plate with a specific bending moment and force on the plate circumference. Laboratory testing was performed to determine the deflection in the centre and at the edge of the plate. Measurement apparatus was assembled and measurements were carried out; the results of the measurement were compared with the analytical solutions and FEM results. On the basis of these comparisons, the foundation modulus was determined. The experiment, analytical solution and FEM give similar results, thus providing a solid basis for technical applications.

Static Analysis for Exact Vibration Analysis of Clamped Plates

2015 ◽  
Vol 15 (08) ◽  
pp. 1540030 ◽  
Author(s):  
Moshe Eisenberger ◽  
Aharon Deutsch
Keyword(s):  
Static Analysis ◽  
Elastic Foundation ◽  
Natural Frequencies ◽  
Equations Of Motion ◽  
Point Load ◽  
Vibration Frequencies ◽  
Concentrated Load ◽  
Simply Supported ◽  
Winkler Elastic Foundation ◽  
Isotropic Rectangular Plate

Presented herein is a new method for the analysis of plates with clamped edges. The solutions for the natural frequencies of the plates are found using static analysis. The starting are the equations of motion of an isotropic rectangular plate supported on Winkler elastic foundation, with a positive or negative value. In either case, one can solve the displacements of such a plate under a given concentrated load. This deflection will be infinite if the plate losses its stiffness, or in other words, the generalized foundation is causing the plate to be unstable. The solution for the vibration frequencies of the plate is equivalent to finding the values of the negative elastic foundation that will yield infinite deflection under a point load on the plate. The solution for a clamped plate is decomposed as the sum of three cases of plates resting on elastic foundation: simply supported plate with a concentrated load, and two cases of distributed moments along opposite edges. The solution for simply supported plates with elastic foundation is found using Navier's method. For zero force, the vibration frequencies are found up to the desired accuracy by careful calculations at the neighborhood of the roots.

Sign in / Sign up

Export Citation Format

Share Document