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:

\(\nu =0.3\)

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.