Measuring and calculating bar flexural vibration frequencies

2005 ◽  
Vol 73 (5) ◽  
pp. 439-441 ◽  
Author(s):  
Michael J. Moloney
Keyword(s):  
Flexural Vibration ◽  
Vibration Frequencies

A simple experiment for measuring bar longitudinal and flexural vibration frequencies

2010 ◽  
Vol 78 (12) ◽  
pp. 1429-1432 ◽  
Author(s):  
S. Velasco ◽  
F. L. Román ◽  
J. A. White
Keyword(s):  
Flexural Vibration ◽  
Vibration Frequencies ◽  
Simple Experiment

On the flexural vibration frequencies of statically loaded beams

Meccanica ◽  
1972 ◽  
Vol 7 (4) ◽  
pp. 281-286
Author(s):  
Aldo Sestieri ◽  
Sergio Stecco
Keyword(s):  
Flexural Vibration ◽  
Vibration Frequencies

Measurement of the Damping of Engineering Materials During Flexural Vibration at Elevated Temperatures

1944 ◽  
Vol 11 (2) ◽  
pp. A86-A92
Author(s):  
Carl Schabtach ◽  
R. O. Fehr
Keyword(s):  
Strain Gage ◽  
Modulus Of Elasticity ◽  
Tuning Fork ◽  
Elevated Temperatures ◽  
Flexural Vibration ◽  
Logarithmic Decrement ◽  
Vibration Frequencies ◽  
Bending Stresses ◽  
Engineering Materials

Abstract The method and equipment developed and used by the authors for measuring the damping of materials are described. A tuning-fork specimen is set into vibration by jerking a spreader from the gap between the ends of the tines. The damping is expressed in terms of the logarithmic decrement of the decaying vibration, which is measured and recorded by means of a magnetic oscillograph, amplifiers, and a resistance-type electric strain gage cemented to the specimen. The results include (1) the damping of a number of materials during flexural vibration at approximately 1000 cycles per sec, at maximum bending stresses up to 40,000 psi, and at temperatures up to 1400 F; (2) the variation in modulus of elasticity with temperature, as determined from the specimen vibration frequencies.

Flexural Resonant Frequencies of Thin Rectangular Cantilever Plates

2008 ◽  
Vol 75 (1) ◽  
Author(s):  
Jason R. Looker ◽  
John E. Sader
Keyword(s):  
Singular Perturbation ◽  
Resonant Frequency ◽  
Analytical Formula ◽  
Flexural Vibration ◽  
Maximum Error ◽  
Vibration Frequencies ◽  
Resonant Frequencies ◽  
Aspect Ratios ◽  
Simple Analytical Formula ◽  
Simple Nature

Knowledge of the flexural vibration frequencies of thin rectangular cantilever plates forms the basis for numerous applications in sensing and instrumentation. Despite the seemingly simple nature of the problem, an accurate formula for the fundamental resonant frequency that is valid for all aspect ratios and Poisson’s ratios is notably lacking in the literature. In this article, we present such a result using a variational and singular perturbation formulation. This yields a simple analytical formula that exhibits a maximum error of 2%.

A Generalized Minimum Principle and Its Application to the Vibration of a Wedge With Rotatory Inertia and Shear

1963 ◽  
Vol 30 (2) ◽  
pp. 176-180 ◽  
Author(s):  
H. C. Lee
Keyword(s):  
Differential Equation ◽  
Approximate Solution ◽  
Minimum Principle ◽  
Adjoint Equation ◽  
Flexural Vibration ◽  
Simultaneous Equations ◽  
Upper And Lower Bounds ◽  
Vibration Frequencies ◽  
Rotatory Inertia ◽  
Shear Effects

The minimum principle and step-by-step iteration method are generalized for coupled simultaneous differential equations in order to obtain an approximate solution for the flexural vibration frequencies of a wedge with rotatory inertia and shear effects. This procedure avoids the difficulty of solving the nonself-adjoint equation which results when the simultaneous equations for bending slope and displacement are combined into a single differential equation. The upper and lower bounds of the first two eigenvalues are established and a comparison is made with the classical Kirchhoff solution where the rotatory inertia and shear are neglected.

scholarly journals ORIENTATION AND POSITION EFFECTS OF A LOCAL HETEROGENEITY ON FLEXURAL VIBRATION FREQUENCIES IN WOODEN BEAMS

CERNE ◽  
2015 ◽  
Vol 21 (2) ◽  
pp. 339-344
Author(s):  
Mehran Roohnia ◽  
Loïc Brancheriau
Keyword(s):  
Flexural Vibration ◽  
Vibration Frequencies ◽  
Non Destructive Testing ◽  
Destructive Testing ◽  
Position Effects ◽  
Artificial Defect ◽  
One Dimensional ◽  
Before And After ◽  
Non Destructive

Studying the influence of defect on the dynamic behavior of wood in order to detect the local heterogeneities is of great importance in non-destructive testing of wood. The natural heterogeneities in wood are oriented in a volume. However, one-dimensional models are still used in dynamic characterization of wooden beams. The aim of this study was to experimentally investigate the effects of the orientation and position of an artificial defect on the flexural vibration frequencies. Different batches of Fagus orientalis specimens were drilled in the radial direction at five positions along the specimen. Dynamic tests in free flexural vibration were performed on the specimens before and after drilling both in the longitudinal-radial (LR) and longitudinal-tangential (LT) bending plan. The behavior in free flexural vibration was found to be different depending on the position and orientation of heterogeneity. When the drilling axis lies in the bending plane (LR), the weakening of frequency was maximal at the location of an antinode of vibration. On the contrary, the frequency offset was maximal in the place of a vibration node when the drilling axis was orthogonal to the bending plane (LT).

Flexural vibration of Piezocomposite solid cylinders

2008 ◽  
Vol 3 (4) ◽  
pp. 27-32
Author(s):  
V.K. Nelson ◽  
◽  
Nehru Erode Santhanam ◽  
Keyword(s):  
Flexural Vibration
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