Nonlinear resonant vibrations of a rod made of material with oscillating inclusions

2021 ◽  
Author(s):  
Aleksandra Gawlik ◽  
Andrzej Klepka ◽  
Vsevolod Vladimirov ◽  
Sergii Skurativskyi
Keyword(s):  
1977 ◽  
Vol 5 (4) ◽  
pp. 202-225 ◽  
Author(s):  
G. R. Potts ◽  
C. A. Bell ◽  
L. T. Charek ◽  
T. K. Roy

Abstract Natural frequencies and vibrating motions are determined in terms of the material and geometric properties of a radial tire modeled as a thin ring on an elastic foundation. Experimental checks of resonant frequencies show good agreement. Forced vibration solutions obtained are shown to consist of a superposition of resonant vibrations, each rotating around the tire at a rate depending on the mode number and the tire rotational speed. Theoretical rolling speeds that are upper bounds at which standing waves occur are determined and checked experimentally. Digital Fourier transform, transfer function, and modal analysis techniques used to determine the resonant mode shapes of a radial tire reveal that antiresonances are the primary transmitters of vibration to the tire axle.


2016 ◽  
Vol 250 ◽  
pp. 263-269
Author(s):  
Lucjan Witek ◽  
Arkadiusz Bednarz ◽  
Feliks Stachowicz

This work presents results of the experimental fatigue analysis of the compressor blades. In the investigations the blade with the V-notch (which simulates the foreign object damage) was considered. The notch was created by machining. The blades during the fatigue test were entered into transverse vibration. The crack propagation process was conducted in resonance conditions. During investigations both the amplitude of the blade tip displacement and also the crack length were monitored. As the results of presented investigations both the number of load cycles to crack initiation and also the crack growth dynamics in the compressor blade subjected to resonant vibrations were determined. In the work the influence of crack size on the resonant frequency was also investigated.


2009 ◽  
Vol 15 (11) ◽  
pp. 1731-1744 ◽  
Author(s):  
Bin Zhang ◽  
Stephen A. Billings ◽  
Zi-Qiang Lang ◽  
Geoffrey R. Tomlinson

1966 ◽  
Vol 88 (3) ◽  
pp. 318-323 ◽  
Author(s):  
I. W. Jones ◽  
V. L. Salerno

This paper presents an examination of the effects of structural damping on the axisymmetric vibrations of a cylindrical sandwich shell. It is shown that the use of core materials with high damping properties can result in large reductions in resonant response over conventional materials. The radial vibration of the shell resulting from a time harmonic radial load is first calculated by an exact method. The radial vibration is then calculated by an approximate formula, which requires only a knowledge of the damping properties and the natural (undamped) modes. In numerical examples the resonant vibrations of two steel-faced cylinders are compared. One has a polymeric, the other an elastomeric core. The results indicate that for the assumed conditions they are both effective for suppressing resonant vibration, the polymeric core being generally more effective than the elastomeric core.


1994 ◽  
Vol 26 (11) ◽  
pp. 821-824 ◽  
Author(s):  
A. P. Zin'kovskii ◽  
A. Ya. Adamenko ◽  
I. N. Buslenko ◽  
I. G. Tokar'
Keyword(s):  

1994 ◽  
Vol 360 ◽  
Author(s):  
D.A. Barrow ◽  
T.E. Petroff ◽  
M. Sayer

AbstractLead zirconate titanate (PZT) films of up to 60 μm in thickness have been fabricated on a wide variety of substrates using a new sol gel process. The dielectric properties (∈ = 900), ferroelectric (Ec = 16 kV/cm and Pr = 35 μC/cm 2) and piezoelectric properties are comparable to bulk values. The characteristic Curie point of these films is at 420 °C. Piezoelectric actuators have been developed by depositing thick PZT films on both planar and coaxial substrates. Stainless steel cantilevers and optical fibres coated with a PZT film exhibit flexure mode resonant vibrations observable with the naked eye. A low frequency in-line fibre optic modulator has been developed using a PZT coated optical fibre. The high frequency resonance of a 60 μm film on a aluminum substrate has been observed.


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