Large Deflections of an Inflated Cylindrical Tent

1969 ◽  
Vol 36 (4) ◽  
pp. 845-851 ◽  
Author(s):  
E. W. Ross
Keyword(s):  
Numerical Analysis ◽  
Cross Section ◽  
Large Deformations ◽  
Wind Pressure ◽  
Large Deflections ◽  
Theoretical Interest ◽  
Membrane Theory ◽  
Small Strains ◽  
Deformed State ◽  
Small Deformations

This report analyzes the large deformations of a cylindrical, inflated, single-wall tent due to wind pressure and is based on the membrane theory for large deflections but small strains. The tent cross section is a sector of a circle in the undeformed position, and the wind is blowing on it in the broadside direction. The tent motion is taken as plane, and it is assumed that the wind pressure distribution is known in the deformed state. The problem is solved by numerical analysis and results are presented for the stress, deformed shape, aerodynamic resultants, and anchor forces. The problem is of theoretical interest because the linear membrane theory does not have a unique solution for it, and also because it illustrates that the method of small deformations superposed on large is of little help when the large deformation is of inextensional type.

Material symmetry: a key to specification of interatomic potentials

2013 ◽  
Vol 61 (2) ◽  
pp. 441-450 ◽  
Author(s):  
K. Nalepka
Keyword(s):  
Large Deformations ◽  
Defect Formation ◽  
Elasticity Tensor ◽  
Interatomic Potentials ◽  
Material Symmetry ◽  
Atomistic Model ◽  
Elementary Processes ◽  
Cubic Crystals ◽  
Small Strains ◽  
Small Deformations

Abstract The paper shows that symmetry forms a basis for relations between different properties of material. In this way, the key quantities for specification of an atomistic model are identified. Material symmetry distinguishes representative processes of small strains. It is proved that the errors in the densities of the energies stored in these processes determine the range of inaccuracies with which an atomistic model recreates processes of small deformations. The errors are equal to the inaccuracies in the eigenvalues of the elasticity tensor, that is in the Kelvin moduli. For cubic crystals, the elementary processes indicated by the symmetry initiate the key paths of large deformations: Bain and trigonal ones. Therefore, the substantial errors in the Kelvin moduli lead to incorrect reconstructing the metastable phases: bcc, sc and bct. The elastic constants commonly used in the literature do not provide such information as the Kelvin moduli. Using the eigenvalues of the elasticity tensor as well as other key properties indicated by the symmetry, the EAM model proposed by A.F. Voter for copper is specified. The obtained potential more accurately reproduces small and large deformations and additionally, correctly describes defect formation as well as Cu dimer properties

Numerical analysis and design of a new traveling-wave photodetector with an asymmetric I-layer cross section

2003 ◽  
Vol 9 (3) ◽  
pp. 770-775 ◽  
Author(s):  
Soon-Cheol Kong ◽  
Seong-Hae Ok ◽  
Young-Wan Choi ◽  
Joong-Seon Choe ◽  
Yong-Hwan Kwon ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Cross Section ◽  
Traveling Wave ◽  
Analysis And Design

scholarly journals Load carrying capacity of the eccentric joint in the truss made of open cross-sections

2018 ◽  
Vol 219 ◽  
pp. 02002
Author(s):  
Małgorzata Gordziej-Zagórowska ◽  
Elżbieta Urbańska-Galewska
Keyword(s):  
Numerical Analysis ◽  
Cross Section ◽  
Experimental Research ◽  
Cross Sections ◽  
Carrying Capacity ◽  
Load Carrying Capacity ◽  
Main Achievement ◽  
Joint Area ◽  
Load Carrying ◽  
Open Cross Section

The influence of eccentricity at intersections of truss members on the load carrying capacity of the truss joint is presented in the paper. The research truss elements were designed as cold-formed open cross section. Analytical calculations, numerical analysis and experimental research were conducted to reveal how the eccentricity affects the effort of material in the joint area. The results of analysis and investigations are compared and discussed. The main achievement of the tests carried out is statement that slender plane members of the compression chords are safe compared with the results of analytical calculations.

Modeling Nanocomposite Piezoresistive Response With Electromechanical Cohesive Zone Material Point Method

2016 ◽  
Author(s):  
Adarsh K. Chaurasia ◽  
Gary D. Seidel
Keyword(s):  
Cohesive Zone ◽  
Large Deformations ◽  
Material Point Method ◽  
Material Point ◽  
Volume Element ◽  
Point Method ◽  
Current Work ◽  
Secondary Field ◽  
Small Strains ◽  
The Matrix

In the current work, the Material Point Method (MPM) is extended to allow for interfacial discontinuities in problems with composite materials using cohesive zone (CZ) techniques. The proposed CZMPM is observed to result in smaller errors in the primary and secondary field variables, especially near the interface, for a given boundary value problem in comparison to the traditional MPM solution. The proposed CZMPM is used to solve an electromechanical test problem with a single fiber in the matrix medium. It is observed that the proposed CZMPM results in smaller local and volume averaged errors. The CZMPM is further used to evaluate the effective piezoresistive response of the nanoscale carbon nanotube (CNT)-polymer composite with electron hopping in between the nanotubes. The observed effective piezoresistive response exhibits features similar to those reported in the literature using finite element techniques for small strains. However, CZMPM allows for large deformations of the nanoscale representative volume element as presented in the current work.

Impact Behavior of Rocking Bridge Piers

2002 ◽  
Author(s):  
Chin-Tung Cheng ◽  
Ming-Hsiang Shih
Keyword(s):  
Numerical Analysis ◽  
Kinetic Energy ◽  
Aspect Ratio ◽  
Cross Section ◽  
Bridge Piers ◽  
Impact Behavior ◽  
Restoring Forces ◽  
Numerical Process ◽  
Dissipation Characteristic ◽  
Rocking Behavior

This research aims to investigate the energy dissipation characteristic and impact behavior of rocking piers under free vibration. Research parameters include rocking interfaces (stiff or flexible), geometry of the column cross-section (circular or rectangular), aspect ratio of the columns, anchorage of prestressing tendons and scale effect. To validate the proposed theory, five columns were constructed and will be tested. A numerical process was proposed to simulate the rocking behavior of columns. Numerical analysis revealed that aspect ratio remarkably affects the rocking behavior, however, size effect and shape of cross section had no significant influence on the rocking behavior. Contrary to the instinct, anchored columns may have less damping due to the higher restoring forces that leads to larger acceleration and slower degradation in kinetic energy.

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