Dynamic contact stresses produced by impact in elastic plates of finite thickness

Author(s):  
Y. M. Tsai
1982 ◽  
Vol 104 (2) ◽  
pp. 255-261 ◽  
Author(s):  
Jed A. Walowit ◽  
Oscar Pinkus

An analysis was conducted which predicts the contact stresses and deflections in rubber staves of finite thickness loaded against a shaft in rubbing contact. Results are given which cover the practical range of coefficients of friction and thickness ratios likely to occur in bearings and similar applications. The main conclusions of the analysis are that friction shifts the contact zone toward the trailing edge of the stave and that the contact zone increases as rubber thickness is increased. Thick staves, therefore, are prone to edge loading at the trailing edge.


2001 ◽  
Vol 47 (6) ◽  
pp. 665-670
Author(s):  
A. O. Vatul’yan ◽  
V. M. Dragilev ◽  
L. L. Dragileva

2014 ◽  
Vol 136 (3) ◽  
Author(s):  
M. J. Rudert ◽  
B. J. Ellis ◽  
C. R. Henak ◽  
N. J. Stroud ◽  
D. R. Pederson ◽  
...  

Various techniques exist for quantifying articular contact stress distributions, an important class of measurements in the field of orthopaedic biomechanics. In situations where the need for dynamic recording has been paramount, the approach of preference has involved thin-sheet multiplexed grid-array transducers. To date, these sensors have been used to study contact stresses in the knee, shoulder, ankle, wrist, and spinal facet joints. Until now, however, no such sensor had been available for the human hip joint due to difficulties posed by the deep, bi-curvilinear geometry of the acetabulum. We report here the design and development of a novel sensor capable of measuring dynamic contact stress in human cadaveric hip joints (maximum contact stress of 20 MPa and maximum sampling rate 100 readings/s). Particular emphasis is placed on issues concerning calibration, and on the effect of joint curvature on the sensor's performance. The active pressure-sensing regions of the sensors have the shape of a segment of an annulus with a 150-deg circumferential span, and employ a polar/circumferential “ring-and-spoke” sensel grid layout. There are two sensor sizes, having outside radii of 44 and 48 mm, respectively. The new design was evaluated in human cadaver hip joints using two methods. The stress magnitudes and spatial distribution measured by the sensor were compared to contact stresses measured by pressure sensitive film during static loading conditions that simulated heel strike during walking and stair climbing. Additionally, the forces obtained by spatial integration of the sensor contact stresses were compared to the forces measured by load cells during the static simulations and for loading applied by a dynamic hip simulator. Stress magnitudes and spatial distribution patterns obtained from the sensor versus from pressure sensitive film exhibited good agreement. The joint forces obtained during both static and dynamic loading were within ±10% and ±26%, respectively, of the forces measured by the load cells. These results provide confidence in the measurements obtained by the sensor. The new sensor's real-time output and dynamic measurement capabilities hold significant advantages over static measurements from pressure sensitive film.


1981 ◽  
Vol 48 (1) ◽  
pp. 161-168 ◽  
Author(s):  
S. Krenk ◽  
H. Schmidt

The axisymmetric problem of a vibrating elastic plate on an elastic half space is solved by a direct method, in which the contact stresses and the normal displacements of the plate are taken as the unknown functions. First, the influence functions that give the displacements in terms of the stresses are determined for the half space and the plate. Displacement continuity then takes the form of an integral equation. Due to the half space the kernel is weakly singular, and a special solution technique that accounts for this is employed. The solution implies a direct matrix relation between the expansion coefficients of the contact stresses and plate deformations. The solution technique is valid for all frequencies and avoids asympototic expansion in terms of the frequency. The plate is represented by the theory of Reissner and Mindlin, which imposes physical limitations for high frequencies, but the method is easily extended to more general plate theories as well as nonsymmetric oscillations. The results include displacement and phase curves for rigid disks, power input for elastic plates, and typical stress and deformation distributions at selected phase angles. The results show considerable influence from the elastic properties of the plate.


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