scholarly journals Behavioural Study of Thin Plate Under Large Deflection Theory

2021 ◽  
pp. 322-329
Author(s):  
Darshni B ◽  
Senthil Kumar V
Keyword(s):  
Thin Plate ◽  
Geometric Nonlinearity ◽  
Analytical Study ◽  
Large Deflection ◽  
Linear Analysis ◽  
Fe Model ◽  
Ansys Software ◽  
Edge Conditions ◽  
Deflection Theory ◽  
Large Deflection Theory

For a thin plate, if the deformation is on the order of the thickness and stay elastic, linear theory might not turn out correct results because it does not predict the in plane movement of the member. Therefore, to account for the inconsistencies of geometric nonlinearity, large deflection theory is required [1]. This report pertains to the analytical study dispensed to check the behavior of thin plate under fixed and pinned edge conditions, and for diverse thicknesses, under the small and large deflection theories. The deformation is additionally studied, supported by Von-Karman equations. Non linear analysis has been performed on FE model using the ANSYS software. The consequences of geometric nonlinearities are mentioned. Outline on conclusion of the theoretical and experimental results obtained, are compared so as to review the similarity of the modeling and theory.

The Elements of the Buckling of Curved Plates

1948 ◽  
Vol 52 (453) ◽  
pp. 551-565 ◽  
Author(s):  
H. L. Cox ◽  
E. Pribram
Keyword(s):  
Large Amplitude ◽  
Large Deflection ◽  
Complete Solution ◽  
Loud Noise ◽  
Round Tube ◽  
Edge Conditions ◽  
Oil Canning ◽  
Full Analysis ◽  
Deflection Theory ◽  
Large Deflection Theory

The buckling of a round tube or curved A plate under axial compression is an example of that class of instability in which the initial buckled form becomes itself at once unstable. As a result the buckle immediately develops to a large amplitude, often with loud noise. This class of instability has been aptly termed “oil canning” from a familiar example.Thorough investigation of oil canning problems must always be tedious. As for any buckling problem it is essential to use large deflection theory and, since the amplitude of buckle rapidly becomes large, it is necessary also to consider in detail the distribution of the membrane (or mid-plane) stresses due to the buckle. This necessity, in combination with peculiar buckled forms, renders the complete solution even for a tube extremely difficult and tedious. Moreover, since the buckled form for a complete tube does not accord at all well with the edge conditions for a curved plate, the full analysis for the latter is almost prohibitively difficult.

Benchmark of Plate Forming and Weld Distortion Process

2005 ◽  
Vol 128 (3) ◽  
pp. 414-419
Author(s):  
James Gombas
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Cylindrical Shell ◽  
Large Deflection ◽  
Element Analysis ◽  
Manufacturing Simulation ◽  
Simulation Process ◽  
Weld Distortion ◽  
Deflection Theory ◽  
Large Deflection Theory

A circular flat plate with a perforated central region is to be formed by dies into a dome and then welded onto a cylindrical shell. After welding, the dome must be spherical within a narrow tolerance band. This plate forming and welding is simulated using large deflection theory elastic-plastic finite element analysis. The manufacturing assessment is performed so that the dies may be designed to compensate for plate distortions that occur during various stages of manufacturing, including the effects of weld distortion. The manufacturing simulation benchmarks against measurements taken at several manufacturing stages from existing hardware. The manufacturing simulation process can then be used for future applications of similar geometries.

Application of large-deflection theory to normally loaded rectangular plates with clamped edges

1970 ◽  
Vol 5 (2) ◽  
pp. 140-144 ◽  
Author(s):  
A Scholes
Keyword(s):  
Large Deflection ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Aspect Ratios ◽  
Non Linear ◽  
Deflection Theory ◽  
Large Deflection Theory ◽  
Clamped Edges ◽  
Clamped Edge ◽  
Good Agreement

A previous paper (1)∗described an analysis for plates that made use of non-linear large-deflection theory. The results of the analysis were compared with measurements of deflections and stresses in simply supported rectangular plates. In this paper the analysis has been used to calculate the stresses and deflections for clamped-edge plates and these have been compared with measurements made on plates of various aspect ratios. Good agreement has been obtained for the maximum values of these stresses and deflections. These maximum values have been plotted in such a form as to be easily usable by the designer of pressure-loaded clamped-edge rectangular plates.

Large Deflections and Buckling Loads of Cantilever Columns with Constant Volume

2017 ◽  
Vol 17 (08) ◽  
pp. 1750091 ◽  
Author(s):  
Joon Kyu Lee ◽  
Byoung Koo Lee
Keyword(s):  
Differential Equations ◽  
Cross Section ◽  
Large Deflection ◽  
Nonlinear Differential Equations ◽  
Constant Volume ◽  
Large Deflections ◽  
Buckling Loads ◽  
Geometrical Nonlinear ◽  
Deflection Theory ◽  
Large Deflection Theory

This paper deals with the large deflections and buckling loads of tapered cantilever columns with a constant volume. The column member has a solid regular polygonal cross-section. The depth of this cross-section is functionally varied along the column axis. Geometrical nonlinear differential equations, which govern the buckled shape of the column, are derived using the large deflection theory, considering the effect of shear deformation. The buckling load of the column is approximately equivalent to the load under which a very small tip deflection occurs. In regard to the numerical results, both the elastica and buckling loads with varying column parameters are discussed. The configurations of the strongest column are also presented.

On the Large Axisymmetrical Deflection of Thin Plates Made of the Mooney-Rivlin Material

1974 ◽  
Vol 41 (3) ◽  
pp. 725-730 ◽  
Author(s):  
H. Abe´ ◽  
M. Utsui
Keyword(s):  
Large Deflection ◽  
Lateral Pressure ◽  
Three Dimensional ◽  
Thin Plates ◽  
Axially Symmetric ◽  
Dimensional Theory ◽  
Plate Equations ◽  
Basic Equations ◽  
Deflection Theory ◽  
Large Deflection Theory

A large deflection theory of axially symmetric and thin plates made of the Mooney-Rivlin material is developed by making a systematic and consistent approximation from the exact three-dimensional theory. The problem of a circular plate made of the neo-Hookean material subjected to uniform lateral pressure is investigated with the use of the basic equations just derived, and the results are compared with the solutions based on the von Karman plate equations.

Droplet Formation From a Pulsed Vibrating Nozzle

Volume 1 ◽  
2004 ◽  
Author(s):  
Guozhong Yang ◽  
James A. Liburdy
Keyword(s):  
Fluid Flow ◽  
Large Deflection ◽  
Applied Pressure ◽  
Droplet Formation ◽  
Satellite Droplet ◽  
One Dimensional ◽  
Flexible Plates ◽  
Deflection Theory ◽  
Large Deflection Theory ◽  
Off Time

Droplet formation from a passive vibrating nozzle driven by a pulsed pressure wave is numerical simulated. The nozzle is an orifice in a thin walled plate which is allowed to vibrate due to the pressure loading on the plate. The analysis couples the fluid flow from the nozzle and the resultant droplet formation with the nozzle vibration calculated using large deflection theory. A one-dimensional fluid flow model is used where droplet formation is driven by a short step change in applied pressure. The problem is made nondimensional based on the capillary parameters of time, velocity and pressure. The nozzle material properties are varied to alter the vibration characteristics of the orifice plate used to form the nozzle. It is determined that the vibration of the nozzle only weakly affects the droplet break-off time and size, but greatly affects the droplet velocity. The resultant filament after drop break-off is also significantly affected by the nozzle vibration, resulting in variations in satellite droplet formation. Higher vibration amplitudes, which correspond to more flexible plates, result in larger total satellite volume.

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