THE PRESSURE DISTRIBUTION FOR SYMMETRICAL CONTACT OF CIRCULAR ELASTIC CYLINDERS

1989 ◽  
Vol 42 (4) ◽  
pp. 581-604 ◽  
Author(s):  
JAMES M. HILL ◽  
ANTOINETTE TORDESILLAS
1969 ◽  
Vol 91 (2) ◽  
pp. 342-349
Author(s):  
E. A. Wilson

This work presents an analytical investigation of a plastic mass being compressed between the ends of two elastic circular cylinders. A special function recently tabulated by the author is used to find the deformation of the elastic cylinders due to the pressure distribution caused by the compression of the plastic mass. Based on the deformed shape of the cylinders found by the iterative solution using the special function, the author presents a simplified approximate method for finding the pressure distribution on the cylinders when given the edge separation of the cylinders and the ratio of the shear strength of the plastic mass to the modulus of elasticity in shear of the cylinders.


1984 ◽  
Vol 106 (3) ◽  
pp. 396-404 ◽  
Author(s):  
R. Solecki ◽  
Y. Ohgushi

Frictionless static contact between two layered elastic cylinders is examined. Local curvature of the the contacting surfaces is taken into account. Green’s function is derived and utilized to reduce the contact problem to Fredholm integral equation of the first kind with unknown contact width, unknown contact pressure distribution and unknown normal approach. Solution of this integral equation is obtained in the form of an infinite system of linear algebraic equations with the aid of Fourier transformation. The resulting equations are solved to give the pressure distribution and the normal approach for assumed contact width. Numerical results of two examples are presented: one in which an elastic layer bonded to a rigid cylinder is indented by another rigid cylinder, and, a second in which a layered elastic cylinder is indented by another layered elastic cylinder. The results obtained in the first example are compared with analytical solutions and with experimental data known from the literature.


Author(s):  
T. Yamamoto ◽  
I. Kuno ◽  
Koichi Takeda ◽  
Takehiko Toh ◽  
Jim Tanaka ◽  
...  

2006 ◽  
Vol 34 (1) ◽  
pp. 38-63 ◽  
Author(s):  
C. Lee

Abstract A tire slips circumferentially on the rim when subjected to a driving or braking torque greater than the maximum tire-rim frictional torque. The balance of the tire-rim assembly achieved with weight attachment at certain circumferential locations in tire mounting is then lost, and vibration or adverse effects on handling may result when the tire is rolled. Bead fitment refers to the fit between a tire and its rim, and in particular, to whether a gap exists between the two. Rim slip resistance, or the maximum tire-rim frictional torque, is the integral of the product of contact pressure, friction coefficient, and the distance to the wheel center over the entire tire-rim interface. Analytical solutions and finite element analyses were used to study the dependence of the contact pressure distribution on tire design and operating attributes such as mold ring profile, bead bundle construction and diameter, and inflation pressure, etc. The tire-rim contact pressure distribution consists of two parts. The pressure on the ledge and the flange, respectively, comes primarily from tire-rim interference and inflation. Relative contributions of the two to the total rim slip resistance vary with tire types, depending on the magnitudes of ledge interference and inflation pressure. Based on the analyses, general guidelines are established for bead design modification to improve rim slip resistance and mountability, and to reduce the sensitivity to manufacturing variability. An iterative design and analysis procedure is also developed to improve bead fitment.


1995 ◽  
Vol 23 (2) ◽  
pp. 116-135 ◽  
Author(s):  
H. Shiobara ◽  
T. Akasaka ◽  
S. Kagami ◽  
S. Tsutsumi

Abstract The contact pressure distribution and the rolling resistance of a running radial tire under load are fundamental properties of the tire construction, important to the steering performance of automobiles, as is well known. Many theoretical and experimental studies have been previously published on these tire properties. However, the relationships between tire performances in service and tire structural properties have not been clarified sufficiently due to analytical and experimental difficulties. In this paper, establishing a spring support ring model made of a composite belt ring and a Voigt type viscoelastic spring system of the sidewall and the tread rubber, we analyze the one-dimensional contact pressure distribution of a running tire at speeds of up to 60 km/h. The predicted distribution of the contact pressure under appropriate values of damping coefficients of rubber is shown to be in good agreement with experimental results. It is confirmed by this study that increasing velocity causes the pressure to rise at the leading edge of the contact patch, accompanied by the lowered pressure at the trailing edge, and further a slight movement of the contact area in the forward direction.


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