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.

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.

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.

Analysis of Sensitivity and Linearity of SiGe MEMS Piezoresistive Pressure Sensor

2012 ◽  
Vol 241-244 ◽  
pp. 1024-1027 ◽  
Author(s):  
S.Maflin Shaby ◽  
A. Vimala Juliet
Keyword(s):  
Pressure Sensor ◽  
Silicon Germanium ◽  
Pressure Range ◽  
Large Deflection ◽  
Diaphragm Thickness ◽  
Piezoresistive Pressure Sensor ◽  
Linearity Error ◽  
Temperature And Pressure ◽  
Deflection Theory ◽  
Large Deflection Theory

In this paper a surface micromachined MEMS Piezoresistive pressure sensor was designed. A simulation programs were developed to predict the sensitivity and linearity behavior of the piezoresistive pressure sensor. Based on the small and large deflection theory the diaphragm performances were analyzed. Different diaphragm shape, pressure range, placement of resistors and the properties of the resistors were considered during the analysis. The output response of the pressure sensor was also found as a function of temperature and pressure. It was found that silicon germanium gave better sensitivity and less linearity error. The analysis showed that sensitivity and linearity are influenced by diaphragm thickness and length of the sensing resistor used in the diaphragm of the Piezoresistive pressure sensor. It was found that the sensitivity of 5.2mV/V can be achieved for silicon germanium

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