scholarly journals Steady-state vibration of a viscoelastic cylinder cover subjected to moving loads

2016 ◽  
Vol 58 ◽  
pp. 202-210 ◽  
Author(s):  
Anssi T. Karttunen ◽  
Raimo von Hertzen
Author(s):  
Panagiotis G Massouros ◽  
Guy M Genin

The steady-state response of a Maxwell viscoelastic cylinder to periodic sinusoidal oscillation of its boundary was studied as a simplified model of the brain responding to low-amplitude angular vibration of an idealized skull. The objectives were to identify conditions in which peak strain occurred on the interior of the cylinder, and to identify ways to scale strains from differently sized cylinders. This latter objective is motivated by the work of Holbourn to inform scaling of intracranial strains experienced under similar acceleration of skulls of different animals. The mechanical response was dictated by two dimensionless parameters that incorporate material properties and external loading frequency. The location and magnitude of maximum strain were examined with respect to these governing parameters in steady state. A frequency-dependent mapping of brain constitutive data to idealized Maxwell models was applied to predict the location and magnitude of peak strains inside a cylinder with mechanical properties representing the adult human brain. Results suggest that peak strains occur on the interior of such a cylinder for skull oscillation within a specific frequency band.


1967 ◽  
Vol 34 (1) ◽  
pp. 81-86 ◽  
Author(s):  
G. Herrmann ◽  
E. H. Baker

This paper presents an analysis into the dynamic response of a long cylindrical sandwich shell under a moving axially symmetric ring load. The shell is assumed to be orthotropic and subjected to an initial axial stress. The uniform velocity of the load is prescribed and only the steady-state response is considered. Numerical results indicate the effects of various relevant parameters. The behavior of orthotropic sandwich cylinders under initial stress is compared with that of homogeneous isotropic cylindrical shells free of initial stress, and differences are pointed out.


1973 ◽  
Vol 111 (1) ◽  
pp. 2241-2248
Author(s):  
S. N. De ◽  
P. R. Sen-Gupta

1983 ◽  
Vol 50 (4a) ◽  
pp. 783-788 ◽  
Author(s):  
J. Dundurs ◽  
A. K. Gautesen

There is a class of problems involving frictional contact for which a steady state of slip is possible under moving loads as, for instance, when a tire is press-fitted on a wheel, and loaded by forces that travel along its circumference and induce localized slip between the tire and the wheel. The steady state slip has been investigated before, but no estimates showing how quickly the steady state is approached are available. The present paper considers for this purpose a problem that can largely be reduced analytically. It involves two half spaces that are pressed together and sheared. The contact interface is locally pried apart by concentrated normal tractions which, after application, start to move. The moving normal forces induce localized separation and slip zones that travel along the interface. The analysis based on integral equations shows that the approach to steady state is relatively slow.


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