Problem of the annular plate, simply supported and loaded with an eccentric concentrated force

AIAA Journal ◽  
1970 ◽  
Vol 8 (5) ◽  
pp. 961-963
Author(s):  
R. AMON ◽  
O. E. WIDERA ◽  
R. G. AHRENS
Keyword(s):  
Annular Plate ◽  
Concentrated Force ◽  
Simply Supported

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.

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

The Axisymmetrical Steady-State Response of Internally Damped Annular Double-Plate Systems

1982 ◽  
Vol 49 (2) ◽  
pp. 417-424
Author(s):  
T. Irie ◽  
G. Yamada ◽  
Y. Muramoto
Keyword(s):  
Steady State ◽  
Transfer Matrix ◽  
Annular Plate ◽  
Steady State Response ◽  
Transfer Matrices ◽  
Simply Supported ◽  
State Response ◽  
Double Plate System ◽  
Force Transmissibility ◽  
Concentric Circles

The axisymmetrical steady-state response of an internally damped, annular double-plate system interconnected by several springs uniformly distributed along concentric circles to a sinusoidally varying force is determined by the transfer matrix technique. Once the transfer matrix of an annular plate has been determined analytically, the response of the system is obtained by the product of the transfer matrices of each plate and the point matrices at each connecting circle. By the application of the method, the driving-point impedance, transfer impedance, and force transmissibility are calculated numerically for a free-clamped system and a simply supported system.

Bending stresses in thin circular plates with single eccentric circular holes

1976 ◽  
Vol 11 (4) ◽  
pp. 202-224 ◽  
Author(s):  
E Ollerton
Keyword(s):  
Circular Hole ◽  
Uniform Pressure ◽  
Plate Surface ◽  
Circular Plates ◽  
Concentrated Force ◽  
Simply Supported ◽  
Bending Stresses ◽  
Circular Holes

The bending stresses in thin circular plates having a single eccentric circular hole and small deflections are reported. The plates can have any mixture of clamped and simply supported boundaries, and can be subjected to a concentrated force uniformly distributed round the inner boundary, moments about two perpendicular axes, or uniform pressure on the plate surface. A previous paper (1)∗ has described the method of analysis using bipolar co-ordinates, and has given values for deflection and slope coefficients for varying diameter ratios and eccentricities under the loads described above. The present paper discusses the stresses found in the plates under the same conditions.

Yield Point Load of an Annular Plate

1959 ◽  
Vol 26 (3) ◽  
pp. 454-455
Author(s):  
Philip G. Hodge
Keyword(s):  
Yield Point ◽  
Annular Plate ◽  
Point Load ◽  
Uniform Load ◽  
Simply Supported

Abstract The yield point load is computed for an annular plate, simply supported at its inner and outer edges and subjected to a uniform load. A previously published solution is shown to be incorrect.

Flexure by a Concentrated Force of the Infinite Plate on a Circular Support

1963 ◽  
Vol 30 (2) ◽  
pp. 225-231 ◽  
Author(s):  
J. Dundurs ◽  
Tung-Ming Lee
Keyword(s):  
Elastic Properties ◽  
Classical Theory ◽  
Infinite Plate ◽  
Arbitrary Point ◽  
Convergent Series ◽  
Elastic Plates ◽  
Concentrated Force ◽  
Simply Supported ◽  
Uniformly Convergent ◽  
Thin Elastic Plates

Treated is the flexure of an infinite plate which is simply supported on a circle and subjected to a concentrated force at an arbitrary point. The portion of the plate inside the circular support is allowed to have elastic properties that are different from those of the outside part. The solution is exact within the framework of the classical theory of thin elastic plates and is in the form of a uniformly convergent series. Several previously known solutions appear as limiting cases of the results given here.

Loss of Contact in the Vicinity of a Right-Angle Corner for a Simply Supported, Laterally Loaded Plate

1981 ◽  
Vol 48 (3) ◽  
pp. 597-600 ◽  
Author(s):  
L. M. Keer ◽  
A. F. Mak
Keyword(s):  
Integral Transform ◽  
Space Region ◽  
Rectangular Plates ◽  
Elastic Plates ◽  
Concentrated Force ◽  
Simply Supported ◽  
Quarter Space ◽  
Loss Of Contact ◽  
Restraining Force ◽  
Laterally Loaded

The solutions to problems of laterally loaded, simply supported rectangular plates are classical ones that can be found in standard textbooks. It is found that forces directed downward must be present to prevent the corners of the plate from rising up during bending. The objective of the present analysis is to determine the extent to which such a plate will rise if the corner force is not present and the plate is unilaterally constrained. Rather than determine the solution for a rectangular plate, we consider a laterally loaded, simply supported plate which occupies a quarter space region. The plate is unilaterally constrained and may rise at the corner due to an absence of restraining force there. Using integral transform techniques appropriate to the quarter space for elastic plates, the region of lost contact is determined for a general loading. The special loading due to a concentrated force is given as an example.

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