Tuning the load-deflection curve of beams via densely distributed edge cracks: Analytic modeling and solutions

2020 ◽  
pp. 1-16
Author(s):  
Jianghong Yuan ◽  
Zhuangzhuang Mu ◽  
Peng Feng ◽  
Yin Huang ◽  
Xue Ling
Keyword(s):  
Deflection Curve ◽  
Analytic Modeling ◽  
Edge Cracks ◽  
Load Deflection Curve

Experimental Study on Mechanical Properties of Rubber Used for Damping Bearing

2011 ◽  
Vol 189-193 ◽  
pp. 1132-1136 ◽  
Author(s):  
Yong Xu Zhao ◽  
Wen Jun Hu ◽  
Jun Mei ◽  
Niu Wei ◽  
Jian Jun Xie
Keyword(s):  
Mechanical Properties ◽  
Low Temperature ◽  
Three Dimensional ◽  
Middle Part ◽  
Loading Conditions ◽  
Deflection Curve ◽  
Rubber Bearing ◽  
Components Analysis ◽  
The Impact ◽  
Load Deflection Curve

After testing on T-type rubber bearing under tensile, compression and shear mechanical properties under different temperature in this paper. Obtained load deflection curve and destructive mode under different loading conditions at -40 and normal temperature of rubber components. Analysis the impact of temperature and the loading conditions that effect on load-elongation and destructive mode of T-type damping rubber structure. It showed that T-end rubber bearing has different kinds of deformation under different force-giving methods. Under compression, the stress pattern of the rubber bearing is three-dimensional and middle rubber bear the greatest force. Under tensile loading, the middle part of the rubber contract and the side with smaller lateral section has greater shrinkage; moreover, damage occurred in the area with stress concentration and weak strength. Under shearing action, extrude faces appeared with crinkle and damage occurred in the middle part of extrude faces. At the low temperature-40 , rubber support still has great elastic properties. The low temperature has a big effect on tensile properties and has little effect on damage properties.

scholarly journals Effect of Equivalent Load Distribution on the Accuracy of Mapping the Reinforcement Load Deflection Curve in LTP

2020 ◽  
Vol 10 (17) ◽  
pp. 6127
Author(s):  
Beata Gajewska ◽  
Marcin Gajewski
Keyword(s):  
Load Distribution ◽  
Load Transfer ◽  
Single Case ◽  
Soft Soil ◽  
Triangular Distribution ◽  
Deflection Curve ◽  
Measurement Results ◽  
Equivalent Load ◽  
Load Deflection Curve ◽  
Best Fit

The formulations of tasks modelling embankments on soft soil, improved with columns and with reinforced load transfer platform (LTP), differ significantly. One of these differences is the distribution of equivalent load modelling part of the load carried by the LTP reinforcement and soft soil. This article analyses the influence of the nature of the load-modelling linear function, i.e., inverse triangular, uniformly distributed and triangular, as well as intermediate distributions. In total, 41 distributions of equivalent load were considered, and the results of the obtained deflection functions were compared with the measurement results of reinforcement deflection for 5 cases of experimental research available in the literature. A measure of the accuracy of mapping the reinforcement deflection curve was proposed as a relative error in relation to the deflection curve resulting from experimental measurements. Based on the analysis of the mapping error, it was determined that among the three commonly used distributions, the inverse triangular distribution shows the best fit in most of the analysed cases. However, not in every single case this is the distribution leading to a solution that best describes the behaviour of the geosynthetic reinforcement.

Calculated Deflected Contours and Load-Deflection Curves for Tires

1968 ◽  
Vol 41 (4) ◽  
pp. 977-987
Author(s):  
S. D. Gehman
Keyword(s):  
Approximation Method ◽  
Elliptic Integrals ◽  
Deflection Curve ◽  
Load Axis ◽  
Incomplete Elliptic Integrals ◽  
Load Deflection Curve

Abstract The tire contour equation is derived for a flexible tire body with radial cords and a complete circumferential deflection, corresponding to the case of a radial-ply tire or a tire inflated inside a constraining cylinder. Equations are derived to calculate the load on a single cord in the deflected region using parameters of the un-deflected contour. It is then shown how the reasoning and equations can be generalized for a tire body with any cord path having a complete circumferential deflection so that the load-deflection curve for a single cord can be calculated. A new approximation method is described so that the integrals involved in these calculations can be evaluated in terms of incomplete elliptic integrals of the first and second kind with any desired accuracy. Finally, a procedure is given for summing cord loads in the usual spot deflection of a tire so that the load-deflection curve for a flexible tire body can be calculated from contour parameters of the undeflected tire. An illustrative calculation is included. Although the load-deflection curve for a single cord is convex toward the load axis, that for the tire is concave because more cords are involved as deflection progresses. A calculated contour does not exist beyond a limiting deflection, at which, presumably, buckling starts above the bead.

scholarly journals Snapping of a Planar Elastica With Fixed End Slopes

2008 ◽  
Vol 75 (4) ◽  
Author(s):  
Jen-San Chen ◽  
Yong-Zhi Lin
Keyword(s):  
Theoretical Prediction ◽  
Static Load ◽  
Natural Frequencies ◽  
Equilibrium Configuration ◽  
The Other ◽  
Deflection Curve ◽  
Slope Difference ◽  
The Stability ◽  
Fixed End ◽  
Load Deflection Curve

In this paper, we study the deformation and stability of a planar elastica. One end of the elastica is clamped and fixed in space. The other end of the elastica is also clamped, but the clamp itself is allowed to slide along a linear track with a slope different from that of the fixed clamp. The elastica deforms after it is subjected to an external pushing force on the moving clamp. It is observed that when the pushing force reaches a critical value, snapping may occur as the elastica jumps from one configuration to another remotely away from the original one. In the theoretical investigation, we calculate the static load-deflection curve for a specified slope difference between the fixed clamp and the moving clamp. To study the stability of the equilibrium configuration, we superpose the equilibrium configuration with a small perturbation and calculate the natural frequencies of the deformed elastica. An experimental setup is designed to measure the load-deflection curve and the natural frequencies of the elastica. The measured load-deflection relation agrees with the theoretical prediction very well. On the other hand, the measured natural frequencies do not agree very well with the theoretical prediction, unless the mass of the moving clamp is taken into account.

scholarly journals Effects of Striker Edge Radius on Load-Deflection Curve and Absorbed Energy in Instrumented Charpy Impact Test

2005 ◽  
Vol 91 (5) ◽  
pp. 485-492 ◽  
Author(s):  
Shigeki MORITA ◽  
Toshiro KOBAYASHI ◽  
Mitsuo NIINOMI ◽  
Hiroyuki TODA ◽  
Toshikazu AKAHORI
Keyword(s):  
Impact Test ◽  
Charpy Impact ◽  
Charpy Impact Test ◽  
Deflection Curve ◽  
Absorbed Energy ◽  
Edge Radius ◽  
Load Deflection Curve

A contribution to wave spring design

1988 ◽  
Vol 23 (3) ◽  
pp. 145-153 ◽  
Author(s):  
E Dragoni
Keyword(s):  
Closed Form ◽  
Analytical Model ◽  
Internal Stresses ◽  
Mathematical Treatment ◽  
Experimental Measurements ◽  
Deflection Curve ◽  
Analytical Results ◽  
The Relationship ◽  
Load Deflection Curve ◽  
Castigliano’S Theorem

An analytical model for stamped ring wave springs is proposed, based on the theory for circular beams loaded normal to the plane of curvature. The model profits from the adoption of Castigliano's theorem as a tool for mathematical treatment. Closed-form expressions for both load—deflection and load—stress relationships are presented. Because of the particular shape of the spring in the undeformed configuration, the load—deflection curve is found to be appreciably bilinear in character. A similar but less pronounced behaviour is displayed also by the relationship between load and internal stresses. The analytical results are compared to earlier theoretical findings and are shown to correlate well with experimental measurements.

Cyclic Behaviour of High Performance Concrete Beams Strengthened with GFRP Sheets

2015 ◽  
Vol 813-814 ◽  
pp. 1114-1120
Author(s):  
N. Seshadri Sekhar ◽  
P.N. Raghunath ◽  
D. Govindarajalu ◽  
K. Suguna
Keyword(s):  
Static Loading ◽  
High Performance ◽  
High Performance Concrete ◽  
Concrete Beams ◽  
Reinforced Concrete Beams ◽  
Experimental Investigations ◽  
Deflection Curve ◽  
Cyclic Behaviour ◽  
Number Of Cycles ◽  
Load Deflection Curve

This paper indicates the difference between the strengthened reinforced high performance concrete beams and the normal reinforced high performance concrete beams. This paper shows the cyclic behaviour of the two types of beams. Experimental investigations were carried out on reinforced High Performance Concrete (HPC) beams of size 150 mm × 250 mm × 3000 mm under both static loading and cyclic loading separately under four point bending. It was observed that the trend in behaviour of the load-deflection curve of the beams was showing the same trend of normal reinforced concrete beams under static loading. In static loading the strain energy absorbed by the beams were observed to be the same as calculated with the area under the load-deflection curve. Other beam was tested under cyclic load separately. The load applied was 35% of static ultimate load which was uniform throughout the fatigue testing of the beams. It was observed that the deflections were increased with the number of cycles. Some of the beams were strengthened by different types and thickness of the GFRP sheets. It was also observed that the strengthened beams withstood more number of cycles than normal HPC beams. The paper presents in detail the experimental investigations conducted on beams and pertinent conclusions drawn therefrom.

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