Mechanical Analysis of an Annular Plate Transversely Loaded at an Arbitrary Point by a Concentrated Force

1992 ◽  
Vol 114 (3) ◽  
pp. 335-342 ◽  
Author(s):  
V. Ciavatti ◽  
E. Dragoni ◽  
A. Strozzi
Keyword(s):  
Experimental Data ◽  
Series Solution ◽  
Annular Plate ◽  
Arbitrary Point ◽  
Mechanical Analysis ◽  
Outer Edge ◽  
Concentrated Force ◽  
Acceleration Technique ◽  
Series Acceleration ◽  
Plate Geometry

An annular plate clamped at the inner rim, free at the outer edge and loaded at an arbitrary point by a concentrated force is mechanically analyzed via a purely flexural model. A series solution is achieved, whose coefficients are analytically evaluated with the aid of an algebraic manipulator. A series acceleration technique is also developed. Experimental data are obtained for a particular plate geometry, and the results retrieved in terms of deflections and stresses are compared to the analytical forecasts. A technically relevant diagram detailing the theoretical deflection of the plate at the loading point for a variety of plate proportions and load locations is also presented.

Simply supported annular plates transversely loaded by a concentrated force applied at an arbitrary point

1995 ◽  
Vol 30 (3) ◽  
pp. 211-215
Author(s):  
A Strozzi ◽  
E Dragoni ◽  
V Ciavatti
Keyword(s):  
Series Solution ◽  
Annular Plate ◽  
Arbitrary Point ◽  
Experimental Tests ◽  
Concentrated Force ◽  
Simply Supported ◽  
Annular Plates ◽  
Aspect Ratios ◽  
Wide Range ◽  
Plate Geometry

An analysis is performed for a thin, annular plate, simply supported at its inner boundary, free at its periphery, and loaded by a concentrated force applied at any plate position. A purely flexural model is adopted, for which a series solution is obtained with the aid of an algebraic manipulator. Experimental tests are carried out for a specific plate geometry and the results obtained are compared to the analytical forecasts. A diagram is presented which summarizes the plate theoretical deflection by the loaded point for a wide range of aspect ratios of the annular plate and of normalized loaded positions.

Mechanical analysis of an annular plate subject to a transverse concentrated load

1989 ◽  
Vol 24 (3) ◽  
pp. 139-149 ◽  
Author(s):  
A Strozzi
Keyword(s):  
Series Solution ◽  
Simple Technique ◽  
Annular Plate ◽  
Outer Boundary ◽  
Theoretical Models ◽  
Mechanical Analysis ◽  
Approximate Methods ◽  
Concentrated Force ◽  
Concentrated Load ◽  
Series Convergence

The periphery deflection in an annular plate clamped along its inner edge and loaded at its outer boundary by a transverse concentrated force are studied via a series solution. The corrected expressions for the series coefficients are presented. The series convergence is accelerated via a simple technique. Approximate methods are proposed to account for the compliant clamp and shear strain effects on the plate deflections, and they are validated against simplified theoretical models.

Clamped annular plate under a concentrated force.

AIAA Journal ◽  
1969 ◽  
Vol 7 (1) ◽  
pp. 151-153 ◽  
Author(s):  
RENE AMON ◽  
O. E. WIDERA
Keyword(s):  
Annular Plate ◽  
Concentrated Force

On the Existence of a Solution for a Solid Circular Plate Bilaterally Supported Along Two Antipodal Boundary Arcs and Loaded by a Central Transverse Concentrated Force

2000 ◽  
Vol 68 (5) ◽  
pp. 809-812 ◽  
Author(s):  
G. Monegato ◽  
A. Strozzi
Keyword(s):  
Circular Plate ◽  
Plate Theory ◽  
Reaction Force ◽  
Mechanical Analysis ◽  
Square Root ◽  
Existence Of A Solution ◽  
Concentrated Force ◽  
Boundary Constraints ◽  
Title Problem ◽  
The One

A purely flexural mechanical analysis is presented for a thin, solid, circular plate, deflected by a central transverse concentrated force, and bilaterally supported along two antipodal periphery arcs, the remaining part of the boundary being free. This problem is modeled in terms of a singular integral equation of the Prandtl type, which possesses a unique solution expressed in terms of a reaction force containing a factor exhibiting square root endpoint singularities. This solution is then shown not to respect the requested boundary constraints. It is therefore concluded that, within the framework of the purely flexural plate theory, the title problem cannot admit the weighted L2 solution here examined. It cannot, however, be excluded that a solution to the title problem exists, which possesses stronger endpoint singularities than those examined in this paper, or is of a more general form than the one considered here.

Mechanical Analysis of a Thin Solid Circular Plate Deflected by Transverse Periphery Forces and by a Central Load

1995 ◽  
Vol 209 (2) ◽  
pp. 77-86 ◽  
Author(s):  
E Dragoni ◽  
A Strozzi
Keyword(s):  
Circular Plate ◽  
Series Solution ◽  
Analytical Form ◽  
Mechanical Analysis ◽  
Basic Model ◽  
Sinusoidal Load ◽  
Load Effects ◽  
Title Problem ◽  
Plate Loading ◽  
Central Load

A thin, solid, circular plate deflected by a number of transverse, concentrated, periphery forces, not necessarily angularly equispaced or equally oriented, and sustaining a central, transverse, equilibrating load, is mechanically analysed via a purely flexural model. This problem is interpreted as a angularly dephased combination of a relatively simple model. This fundamental scheme consists of a plate loaded by a single periphery force, by a central load of equal intensity and opposite direction, and by a sinusoidal periphery line loading whose wavelength equals the plate border and whose intensity renders the plate loading self-equilibrated. When a sequence of basic schemes, possibly referring to loads of different intensity, is combined, respecting the condition that the resultant of the periphery loads is equilibrated by a central force alone, the sinusoidal load effects vanish and the title problem is recovered. A series solution in terms of plate deflections is obtained for the basic model, whose coefficients are analytically evaluated via a computer algebra package. The series sum is expressed in finite terms involving the dilogarithmic function, valid over the whole plate region. In particular, the series is summed in analytical form for the whole plate periphery, along which the boundary deflections are expressed in closed form.

scholarly journals Fatigue fractureof the beam with an internal transverse crack under multicycle loading

2020 ◽  
Vol 17 (2) ◽  
pp. 75-81
Author(s):  
V. I. Smirnov ◽  
◽  
S. A. Vidyushenkov ◽  
S. S. Maier ◽  
◽  
...  
Keyword(s):  
Experimental Data ◽  
Kinetic Equation ◽  
Critical Load ◽  
Crack Growth ◽  
Elastic Foundation ◽  
Cross Section ◽  
Transverse Crack ◽  
Concentrated Force ◽  
Inspection Interval ◽  
Number Of Cycles

The article considers the beam on a solid elastic foundation with an internal transverse crack of circular shape. The cross-section of the beam has the form of an uneven I-beam joist. The beam is exposed to multiple effects of concentrated force. The proposed calculation scheme is aimed at determining the cyclical strength of the railway rails and specifying the inspection interval. The kinetic equation of crack growth has been obtained and the allowable number of cycles has been specified. The critical load with a single static impact is also assessed. The results are compared with the available experimental data.

603 Experiments on Chaotic Vibrations of a Thin Annular Plate Clamped on Outer Edge and Free on Inner Edge

2007 ◽  
Vol 2007 (0) ◽  
pp. _603-1_-_603-5_
Author(s):  
Ken-ichi NAGAI ◽  
Kenji OKADA ◽  
Shinichi MARUYAMA ◽  
Takao YAMAGUCHI
Keyword(s):  
Annular Plate ◽  
Outer Edge ◽  
Chaotic Vibrations

scholarly journals Thermoelastic Properties of Plain Weave Composites for Multilayer Circuit Board Applications

1999 ◽  
Vol 121 (1) ◽  
pp. 37-43 ◽  
Author(s):  
N. R. Sottos ◽  
J. M. Ockers ◽  
M. Swindeman
Keyword(s):  
Experimental Data ◽  
Glass Transition ◽  
Elastic Moduli ◽  
Mechanical Analysis ◽  
Circuit Board ◽  
Woven Fabric ◽  
Analytical Models ◽  
Thermoelastic Properties ◽  
Lamination Theory ◽  
Thermal Mechanical Analysis

The thermoelastic properties of woven glass/epoxy substrates for multilayer circuit board applications were investigated and the influence of fabric geometry assessed. The woven fabric geometry of several commercially pressed boards was carefully characterized using optical microscopy. The elastic moduli and Poisson’s ratios were then measured in uniaxial tension, while the CTEs of the boards were measured using thermal mechanical analysis (TMA) at temperatures above and below the glass transition. Experimental data were compared to predictions from two new analytical models. One of the models, which does not use classical lamination theory, results in a significant improvement for the prediction of Poisson’s ratio and CTEs. Finally, a parametric study was performed to demonstrate the effect of fiber crimp on the properties of the fabric.

scholarly journals The confinement of mortar in masonry under compression: Experimental data and micro-mechanical analysis

2019 ◽  
Vol 162 ◽  
pp. 105-120 ◽  
Author(s):  
Anastasios Drougkas ◽  
Els Verstrynge ◽  
Roald Hayen ◽  
Koenraad Van Balen
Keyword(s):  
Experimental Data ◽  
Mechanical Analysis
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