The Determination of Linear Frequencies of Bending Vibrations of Ferromagnetic Shell by Exact Space Treatment

2008 ◽  
pp. 49-57
Author(s):  
A.G. Bagdoev ◽  
A.V. Vardanyan ◽  
S.V. Vardanyan
Keyword(s):  
Bending Vibrations

scholarly journals Flexural Vibration Test of a Beam Elastically Restrained at One End: A New Approach for Young’s Modulus Determination

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Rafael M. Digilov ◽  
Haim Abramovich
Keyword(s):  
Young Modulus ◽  
Flexural Vibration ◽  
Force Sensor ◽  
Frequency Equation ◽  
Bending Vibrations ◽  
Flexural Vibration Test ◽  
Elastically Restrained ◽  
Fixed End ◽  
Partially Restrained

A new vibration beam technique for the fast determination of the dynamic Young modulus is developed. The method is based on measuring the resonant frequency of flexural vibrations of a partially restrained rectangular beam. The strip-shaped specimen fixed at one end to a force sensor and free at the other forms the Euler Bernoulli cantilever beam with linear and torsion spring on the fixed end. The beam is subjected to free bending vibrations by simply releasing it from a flexural position and its dynamic response detected by the force sensor is processed by FFT analysis. Identified natural frequencies are initially used in the frequency equation to find the corresponding modal numbers and then to calculate the Young modulus. The validity of the procedure was tested on a number of industrial materials by comparing the measured modulus with known values from the literature and good agreement was found.

Determination of the bed coefficient by the natural frequencies of the beam vibrations

2014 ◽  
Vol 10 ◽  
pp. 13-15
Author(s):  
A.A. Aitbaeva
Keyword(s):  
Mechanical System ◽  
Natural Frequencies ◽  
Elastic Base ◽  
Bernoulli Beam ◽  
Bending Vibrations ◽  
Euler Bernoulli Beam

In this paper we consider a mechanical system, which is a finite Euler–Bernoulli beam, which lies on a continuum elastic base. By the natural frequencies of its bending vibrations, a solution is obtained for finding the bed coefficient characterizing the rigidity of the base.

Determination of the Natural Frequencies of the Bending Vibrations of Beams

1947 ◽  
Vol 14 (1) ◽  
pp. A1-A6
Author(s):  
A. I. Bellin
Keyword(s):  
Cross Section ◽  
Natural Frequencies ◽  
Moment Equation ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Bending Vibrations ◽  
Elastic Beams ◽  
Lateral Vibrations

Abstract This paper presents a method for determining the natural frequencies of lateral vibrations for elastic beams. The beams may be of variable cross section and may have any number of spans. The five-moment equation is developed and is then applied to beams supported in various ways. The author reduces the necessary calculations to a simple tabular scheme. Several illustrative examples are included to demonstrate the method of computation.

Determination of the Damping Characteristics of Fabric Reinforced Rubber Strips for Flexural Waves at Audio Frequencies

1961 ◽  
Vol 34 (1) ◽  
pp. 158-164 ◽  
Author(s):  
Francis M. Wiener ◽  
Creighton M. Gogos
Keyword(s):  
Dynamic Behavior ◽  
Static Loading ◽  
Energy Losses ◽  
Flexural Waves ◽  
Frequency Range ◽  
Bending Vibrations ◽  
Damping Characteristics ◽  
Resonant Modes ◽  
Quality Factor Q

Abstract The damping characteristics of fabric-reinforced rubber structures for flexural vibrations in the audio frequency range are of interest in studying the dynamic behavior of drive belts and automobile tires. To investigate these characteristics experimentally a strip of the material was secured at both ends by clamping the ends of the fabric and excited electromagnetically near the center into bending vibrations. The resulting displacements were observed by an electrostatic pickup arrangement. The quality factor Q was measured for the various resonant modes in the frequency range from near 100 cps to near 1000 cps for different specimens as a function of static loading. The results indicate that beyond about 200 cps the observed damping increases with frequency and appears to be primarily due to energy losses in shear. Although the specimens tested did not structurally duplicate tires or drive belts, it is believed that this study points up ways for the designer to control damping in accordance with the desired dynamic behavior of the finished product.

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