scholarly journals Analysis of Nonlinear Deformations in Japanese Bows (Application of Elastica Theory)

2017 ◽  
Vol 2017 (62) ◽  
pp. 49-55 ◽  
Author(s):  
Atsumi OHTSUKI ◽  
Shigemichi OHSHIMA
Keyword(s):  
Elastica Theory ◽  
Nonlinear Deformations

scholarly journals Magnetic deformation of super-Maxwell theory in supergravity

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Ignatios Antoniadis ◽  
Jean-Pierre Derendinger ◽  
Hongliang Jiang ◽  
Gabriele Tartaglino-Mazzucchelli
Keyword(s):  
Real Field ◽  
Necessary Condition ◽  
Tensor Calculus ◽  
Maxwell Theory ◽  
Abelian Gauge ◽  
Alternative Description ◽  
Minimal Supergravity ◽  
Global Supersymmetry ◽  
Nonlinear Deformations ◽  
Working Out

Abstract A necessary condition for partial breaking of $$ \mathcal{N} $$ N = 2 global supersymmetry is the presence of nonlinear deformations of the field transformations which cannot be generated by background values of auxiliary fields. This work studies the simplest of these deformations which already occurs in $$ \mathcal{N} $$ N = 1 global supersymmetry, and its coupling to supergravity. It can be viewed as an imaginary constant shift of the D-auxiliary real field of an abelian gauge multiplet. We show how this deformation describes the magnetic dual of a Fayet-Iliopoulos term, a result that remains valid in supergravity, using its new-minimal formulation. Local supersymmetry and the deformation induce a positive cosmological constant. Moreover, the deformed U(1) Maxwell theory coupled to supergravity describes upon elimination of the auxiliary fields the gauging of R-symmetry, realised by the Freedman model of 1976. To this end, we construct the chiral spinor multiplet in superconformal tensor calculus by working out explicitly its transformation rules and use it for an alternative description of the new-minimal supergravity coupled to a U(1) multiplet. We also discuss the deformed Maxwell theory in curved superspace.

scholarly journals On the nonlinear deformations of thin unsymmetric 0/90 composite plates under hygrothermal loads

2006 ◽  
Vol 37 (4) ◽  
pp. 624-629 ◽  
Author(s):  
Marco Gigliottia ◽  
Jerome Molimard ◽  
Frédéric Jacquemin ◽  
Alain Vautrin
Keyword(s):  
Composite Plates ◽  
Nonlinear Deformations

Large Deflections of a Simply Supported Beam Subjected to Moment at One End

1984 ◽  
Vol 51 (3) ◽  
pp. 519-525 ◽  
Author(s):  
P. Seide
Keyword(s):  
Linear Theory ◽  
Bending Moment ◽  
Critical Value ◽  
The Other ◽  
Large Deflections ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Elastica Theory ◽  
Angle Of Rotation

The large deflections of a simply supported beam, one end of which is free to move horizontally while the other is subjected to a moment, are investigated by means of inextensional elastica theory. The linear theory is found to be valid for relatively large angles of rotation of the loaded end. The beam becomes transitionally unstable, however, at a critical value of the bending moment parameter MIL/EI equal to 5.284. If the angle of rotation is controlled, the beam is found to become unstable when the rotation is 222.65 deg.

scholarly journals Seismic Reduction Factor Evaluation and its Components for Steel Buildings Undergoing Nonlinear Deformations

2019 ◽  
Vol 116 (11) ◽  
pp. 1850
Author(s):  
Alfredo Reyes-Salazar ◽  
Eden Bojórquez ◽  
Juan Bojórquez ◽  
Federico Valenzuela-Beltran ◽  
J. Ramon Gaxiola-Camacho ◽  
...  
Keyword(s):  
Reduction Factor ◽  
Steel Buildings ◽  
Factor Evaluation ◽  
Nonlinear Deformations

scholarly journals Nonlinear reduced order model of high aspect ratio rectangular wing plate

2018 ◽  
Vol 7 (4.13) ◽  
pp. 195-201
Author(s):  
Thinesh C ◽  
M Y Harmin
Keyword(s):  
Leading Edge ◽  
Reduced Order Model ◽  
Computational Time ◽  
Plate Model ◽  
Order Model ◽  
Reduced Order ◽  
Nonlinear Properties ◽  
First Case ◽  
Trailing Edges ◽  
Nonlinear Deformations

This paper presents a Combined Modal Finite Element (CMFE) approach to develop a Nonlinear Reduced Order Model (NROM) in order to characterize the nonlinear properties of the wing plate model. The wing plate model is subjected to three types of loading cases. The first case considers a uniformly distributed loading on the whole wing plate model for describing the bending deflection; the second case considers a uniformly distributed loading on both leading and trailing edges with one of them of an opposite direction for describing the twisting deflection; the third case considers the loading on the leading edge for describing a combination of bending-twisting deflection. The accuracy of the results is represented in the form of mean error, the standard deviation of the error and the percentage of error. From the findings, the NROMs are able to predict the nonlinear deformations of the wing plate with a minimal computational time and reasonably good accuracy. The results also indicate the importance of the selection modes when conducting the analysis.  

Nonlinear Deformations of Soft Tissues for Surgery Simulation

2016 ◽  
pp. 281-296 ◽  
Author(s):  
Yongmin Zhong ◽  
Bijan Shirinzadeh ◽  
Julian Smith ◽  
Chengfan Gu ◽  
Aleksandar Subic
Keyword(s):  
Soft Tissues ◽  
Surgery Simulation ◽  
Nonlinear Deformations

Nonlinear Response of a Printed Circuit Board in Shock

2009 ◽  
Author(s):  
M. Vujosevic ◽  
P. Raghavan ◽  
G. Ramanathan ◽  
W. Hezeltine ◽  
K. Blue
Keyword(s):  
Printed Circuit Board ◽  
Transfer Functions ◽  
Numerical Approach ◽  
Circuit Board ◽  
Special Importance ◽  
Strain Measurements ◽  
Printed Circuit ◽  
Numerical Finite Element ◽  
Nonlinear Deformations ◽  
The Impact

This work focuses on deformation mechanisms taking place in a Printed Circuit Board (PCB) exposed to high impact shock. A combined experimental, theoretical, and numerical approach has been applied to address both the nature of the observed deformation and its modeling and test metrology implications. Experimental evidence overwhelmingly indicates that a PCB in both test and system applications undergoes nonlinear deformations. Geometric nonlinearity of board response is attributed to the elevated in-plane (membrane) stresses that develop when a drop height and/or inertia forces are significant. The impact of these stresses on deformations (board strain) was quantified using a specially designed test. Membrane stresses were also accounted for in a numerical (Finite Element Method) model developed and carefully validated in the course of this study. The model shows a very good agreement with test data. The nonlinearity of PCB deformation in shock, i.e. the fact that both bending moments and in-plane forces are present in the board has important implications on test metrology development and on correlation between the measured board strain and stresses in interconnects of surface mounted components. Of special importance is the impact that nonlinearity can have on development of transfer functions between strain measurements on system boards and strain measurements on test boards, which is also addressed in the paper.

On Von Kármán Equations and the Buckling of a Thin Circular Elastic Plate

2015 ◽  
Vol 15 (3) ◽  
Author(s):  
Joanna Janczewska ◽  
Anita Zgorzelska
Keyword(s):  
Elastic Plate ◽  
Compressive Load ◽  
Load Parameter ◽  
Elastic Plates ◽  
Plate Structures ◽  
Von Karman ◽  
Fredholm Map ◽  
Von Kármán Equations ◽  
Von Kármán ◽  
Nonlinear Deformations

AbstractWe shall be concerned with the buckling of a thin circular elastic plate simply supported along a boundary, subjected to a radial compressive load uniformly distributed along its boundary. One of the main engineering concerns is to reduce deformations of plate structures. It is well known that von Kármán equations provide an established model that describes nonlinear deformations of elastic plates. Our approach to study plate deformations is based on bifurcation theory. We will find critical values of the compressive load parameter by reducing von Kármán equations to an operator equation in Hölder spaces with a nonlinear Fredholm map of index zero. We will prove a sufficient condition for bifurcation by the use of a gradient version of the Crandall-Rabinowitz theorem due to A.Yu. Borisovich and basic notions of representation theory. Moreover, applying the key function method by Yu.I. Sapronov we will investigate the shape of bifurcation branches.

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