Features of multifrequency resonance vibrations of elastic systems with amplitude-dependent hysteresis friction

1981 ◽  
Vol 13 (11) ◽  
pp. 1404-1408
Author(s):  
S. V. Morgulets
Author(s):  
Vladimir S. Fedotovsky ◽  
Tatiana N. Vereshchagina ◽  
Aleksandr D. Efanov

The conception of effective vibrodynamic properties of heterogeneous media is presented, enabling one to solve various problems on vibration of elastic systems containing liquid and a large number of identical inclusions. The idea of the conception consists in that the liquid with the inclusions (for example, a rod bundle) being affected by vibration is considered a continuous medium with the special dynamic properties – vibrodensity and vibroviscosity. These properties are dependent both on the properties of liquid and inclusions and on the frequency of vibration impacts. It is these vibrodynamic properties upon which the vibration performance of elastic systems containing heterogeneous media is dependent. General equations of vibrodensity and vibroviscosity are used in studying natural and forced vibrations of shell containing liquid and a bundle of elastic rods. It is established that natural frequencies and amplitudes of shell resonance vibrations depend on rod bundle parameters. The result obtained on vibrodensity was used as well for determination of natural frequencies of free-surfacc liquid vibration in cylindrical vessel enclosing rod bundle. It is demonstrated that the natural frequencies of liquid vibration in vessel with rod bundle are lower than in vessel without rods. Comparison of theory with experimental data is made.


2012 ◽  
Vol 79 (1-2) ◽  
pp. 65-86 ◽  
Author(s):  
Wenqing Hu
Keyword(s):  

2013 ◽  
Vol 134 (6) ◽  
pp. 4393-4400 ◽  
Author(s):  
A. Díaz-de-Anda ◽  
J. Flores ◽  
L. Gutiérrez ◽  
R. A. Méndez-Sánchez ◽  
G. Monsivais ◽  
...  
Keyword(s):  

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