Local Reinforcement Effect of a Strain Gauge Installation on Low Modulus Materials

2005 ◽  
Vol 40 (7) ◽  
pp. 643-653 ◽  
Author(s):  
A Ajovalasit ◽  
B Zuccarello
Keyword(s):  
Strain Gauge ◽  
Infinite Plate ◽  
Closed Form Solution ◽  
Adhesive Layer ◽  
Form Solution ◽  
Reinforcement Effect ◽  
Interface Shear ◽  
Technical Literature ◽  
Experimental Proof ◽  
Low Modulus

The reinforcement effect of electrical resistance strain gauges is well documented in the technical literature. In this paper the local reinforcement effect in tension is studied by using a simple theoretical model by considering a strain gauge mounted on a semi-infinite plate having the same width of the strain gauge and subjected to a uniaxial tension load. Neglecting the effect of the adhesive layer and considering the interface shear stress as an exponential distribution, the proposed model gives a closed-form solution. In detail, this model permits a simple formula to be obtained which allows the user to correct the local reinforcement effect provided that a proper calibration is performed by installing a strain gauge, of the same type as that used on the structure, on a low modulus material. Experimental evidence of the proposed method is shown. Experimental proof of the positive effect of large grid lengths on the local reinforcement effect is also reported.

Degenerate Scale Problem for a Hypocycloid Hole in an Infinite Plate in Plane Elasticity

2016 ◽  
Vol 32 (4) ◽  
pp. N7-N10
Author(s):  
Y.-Z. Chen
Keyword(s):  
Boundary Condition ◽  
Conformal Mapping ◽  
Closed Form ◽  
Infinite Plate ◽  
Closed Form Solution ◽  
Plane Elasticity ◽  
Form Solution ◽  
Scale Problem ◽  
Exterior Region ◽  
Degenerate Scale

AbstractBased on the conformal mapping, this paper provides a closed form solution for the degenerate scale of the hypocycloid hole in plane elasticity. In the derivation, we assume the vanishing displacements along the boundary in the degenerate scale problem. Some functions in the boundary condition are decomposed into three parts with particular behavior. Even the displacements are vanishing along the boundary of an exterior region, the displacements and stresses are not equal to zero in the exterior region. This is a particular feature in the degenerate scale problem.

On the Stiffness and the Reinforcement Effect of Electrical Resistance Strain Gauges

2006 ◽  
Vol 3-4 ◽  
pp. 349-354 ◽  
Author(s):  
A. Ajovalasit ◽  
L. D'Acquisto ◽  
S. Fragapane ◽  
B. Zuccarello
Keyword(s):  
Strain Gauge ◽  
Electrical Resistance ◽  
Resistance Strain ◽  
Strain Gauges ◽  
Reinforcement Effect ◽  
Low Modulus ◽  
The Relationship ◽  
Electrical Resistance Strain

The reinforcement effect of a strain gauge installed on low modulus materials can be significant. The increasing use of low modulus materials requires therefore the evaluation of such effect. This paper concerns the relationship between the local reinforcement effect and the strain gauge stiffness. The conclusion is that the gauge stiffness alone does not allow the user a thorough evaluation of the reinforcement effect.

Moving Loads on an Elastic Plate Strip

1974 ◽  
Vol 41 (3) ◽  
pp. 713-718 ◽  
Author(s):  
A. A. Adler ◽  
H. Reismann
Keyword(s):  
Plate Theory ◽  
Infinite Plate ◽  
Harmonic Component ◽  
Closed Form Solution ◽  
Form Solution ◽  
Elementary Functions ◽  
Transform Method ◽  
Line Load ◽  
Plate Strip ◽  
The Fourier Transform

The response of an infinite plate strip under an arbitrarily distributed transverse moving line load is determined. The line of application of the load is perpendicular to the infinite edges, and the load is assumed to propagate parallel to the infinite edges of the plate at constant speed. The problem is formulated as a boundary-value problem within the framework of a plate theory which includes the effects of shear deformation and rotatory inertia. A closed-form solution, in terms of elementary functions, is obtained for each harmonic component of the line load by the Fourier transform method in conjunction with contour integration.

An Analysis of Adhesive-Bonded Single-Lap Joints

1983 ◽  
Vol 50 (1) ◽  
pp. 109-115 ◽  
Author(s):  
Du Chen ◽  
Shun Cheng
Keyword(s):  
High Stress ◽  
Closed Form Solution ◽  
Adhesive Layer ◽  
Energy Functional ◽  
Difficult Problem ◽  
Lap Joints ◽  
Form Solution ◽  
Adhesive Layers ◽  
Single Lap Joints ◽  
Constant Coefficients

Because of the technical importance and difficulty of the analysis, the present problem has been treated, as seen in the literature, by a number of authors. In the current paper a unified method is presented that has advantages in several respects for the analysis of this difficult problem and may also be employed for solving other similar problems. The method is based on two-dimensional elasticity theory in conjunction with the variational principal of complementary energy. Minimizing the energy functional leads to two coupled, fourth-order ordinary differential equations with constant coefficients for the determination of the stresses. By means of the present approach, a closed-form solution, which is adaptable for any possible adhesive layer flexibility and capable of satisfying all the boundary stress conditions of the joint, is obtained. To illustrate the application of the present unified theory, three typical examples for flexible, medium, and inflexible adhesive layers are provided and comparisons are made among these examples and with other known solutions. Special attention is given to the stress distribution in the end zones where high stress intensities of the joints occur.

A closed-form solution in piezo-viscous squeeze films between a long cylinder and an infinite plate

2014 ◽  
Vol 66 (3) ◽  
pp. 505-508 ◽  
Author(s):  
Jaw-Ren Lin ◽  
Rong-Fang Lu
Keyword(s):  
Infinite Plate ◽  
Closed Form Solution ◽  
Form Solution ◽  
Squeeze Film ◽  
Operating Life ◽  
Content Type ◽  
Load Carrying ◽  
Type Differential Equation ◽  
Time Required ◽  
Long Cylinder

Purpose – The aim of this study is to extend the squeezing film problems between a long cylinder and an infinite plate, considering the piezo-viscous behavior (PVB) of the Barus experimental relationship. Design/methodology/approach – By integrating the nonlinear Reynolds-type differential equation directly, an analytical film-pressure solution is obtained and applied to investigate the load-carrying capacity and the approaching time. Findings – Compared with the case of constant-viscosity lubricants (CVLs), the effects of PVB are found to provide higher load-carrying capacities and longer approaching times for the squeezing films. Originality/value – It is found that when the cylinder is squeezed to a dimensionless central film height of 0.3, the dimensionless approaching time required for the CVL case is 4.922. However, the effects of PVB (α 0.0001, 0.001, 0.005 and 0.01) provide longer approaching times with values of 8.324, 8.438, 9.028 and 10.079. The cylinder-plate squeeze film system considering the influences of PVB results in a longer operating life.

On a Closed-Form Solution of Prandtl's System of Equations

2013 ◽  
Vol 40 (2) ◽  
pp. 106-114
Author(s):  
J. Venetis ◽  
Aimilios (Preferred name Emilios) Sideridis
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
System Of Equations

Plane Wave Resonance in the Tire Air Cavity as a Vehicle Interior Noise Source

1995 ◽  
Vol 23 (1) ◽  
pp. 2-10 ◽  
Author(s):  
J. K. Thompson
Keyword(s):  
Closed Form Solution ◽  
Form Solution ◽  
Interior Noise ◽  
Cavity Resonance ◽  
Test Results ◽  
Vehicle Interior ◽  
Air Cavity ◽  
Vehicle Interior Noise ◽  
Wave Resonance ◽  
Resonance Frequencies

Abstract Vehicle interior noise is the result of numerous sources of excitation. One source involving tire pavement interaction is the tire air cavity resonance and the forcing it provides to the vehicle spindle: This paper applies fundamental principles combined with experimental verification to describe the tire cavity resonance. A closed form solution is developed to predict the resonance frequencies from geometric data. Tire test results are used to examine the accuracy of predictions of undeflected and deflected tire resonances. Errors in predicted and actual frequencies are shown to be less than 2%. The nature of the forcing this resonance as it applies to the vehicle spindle is also examined.

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