Addition of natural transverse vibrations of a metal beam reinforced by a tensioning bar

SummaryThe natural transverse vibrations of a long cylindrical box of doubly symmetrical rectangular cross section are considered. Explicit stress-function solutions are obtained for the webs and the top and bottom surfaces so that the effects of shear lag and shear deflection are inherently included. The results are expressed simply in terms of an effective flexural rigidity, which may be determined with the aid of a number of graphs.

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Natural transverse vibrations of helical springs in sections covered with elastic coatings

Bulletin of the Polish Academy of Sciences Technical Sciences ◽

10.1515/bpasts-2017-0102 ◽

2017 ◽

Vol 65 (6) ◽

pp. 949-959

Author(s):

K. Michalczyk

Keyword(s):

Fem Analysis ◽

High Accuracy ◽

Resonant Vibrations ◽

Arbitrary Length ◽

Helical Springs ◽

Transverse Vibrations ◽

Timoshenko Type ◽

Comparison Of The Results ◽

Natural Transverse ◽

Antisymmetric Vibrations

AbstractIt has been demonstrated in previous studies that local elastomer coatings covering the end coils of helical springs can efficiently reduce the amplitudes of circum-resonant vibrations in such springs. The analysis of the influence that elastic coatings have on the frequencies and modes of natural transverse vibrations of springs is presented in this paper. The concept of the equivalent beam of the Timoshenko type is utilized in calculations of the frequencies and modes of transverse vibrations. The model developed allows users to determine the frequencies and modes of symmetric as well as antisymmetric vibrations of axially loaded springs with elastic coatings of arbitrary length. A comparison of the results obtained using FEM analysis, in which the model represented the actual spring geometry, with the results obtained by means of the presented model indicates its high accuracy.

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Determining the velocity of a moving three-layered plate and the thickness of its filler using natural frequencies of flexural vibrations

Proceedings of the Mavlyutov Institute of Mechanics ◽

10.21662/uim2017.1.016 ◽

2017 ◽

Vol 12 (1) ◽

pp. 109-114

Author(s):

A.G. Khakimov

Keyword(s):

Natural Frequencies ◽

Neutral Line ◽

Research Work ◽

Longitudinal Force ◽

Layered Plate ◽

Constant Length ◽

Transverse Vibrations ◽

Deformed State ◽

Flexural Vibrations ◽

Natural Transverse

Research has been performed on natural transverse vibrations of a portion of a constant length in a straight threelayered plate with a filler moving along the neutral line of a non-deformed state. The movement takes place between two rigidly fixed coaxial guides (clamps), the distance between them equalling the length of the vibrating portion. The longitudinal force is assumed to constantly act along the neutral line. It has been found that an increase in the natural frequencies of flexural vibrations of the plate occurs with an increase in the thickness of the filler. Using two frequencies of flexural vibrations, we can determine the velocity of the moving three-layered plate and the thickness of its filler. The results of the research work can find technological use in the problems on dynamics and strength of machines and mechanisms in manufacturing three-layered plate with fillers and can be used to determine the velocity of a plate and the thickness of its filler using two frequencies of flexural vibrations.

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