1. Reference problem#
1.1. Geometry#
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Cylinder radius: \(r=5.999\mathrm{cm}\).
Bore radius: \(R=6.\mathrm{cm}\).
Position of the reference points on the contact surface: one point every three degrees of angle from the bottom up to 60°.
1.2. Material properties#
Cylinder and bore:
Young’s module: |
\(E=2.1{10}^{11}N/{m}^{2}\) |
|
Poisson’s ratio: |
\(\nu =0.3\) |
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Friction coefficient: |
\(\mu =0.4\) |
1.3. Boundary conditions and loads#
The mass containing the bore is supposed to be infinite, its movements will be blocked (according to x and y) on a circle concentric with the bore.
The cylinder is subjected to a distributed force Q according to the thickness \((z)\) equal to: \(Q=–1875{10}^{3}N/m\).
This force is applied in an increment.