1. Reference problem#

1.1. Geometry#

_images/10000000000003DF00000290AB1D814EF0129597.png

Rope thickness \(\mathit{ep}\mathrm{=}\mathrm{1 }\mathit{mm}\).

Pulley thickness \(a\mathrm{=}\mathrm{1 }\mathit{mm}\).

Position of the reference points on the contact surface (\(\mathit{mm}\))

\(x\)

\(y\)

\(A\)

0

4

0

\(B\)

0

3

0

\(C\)

0

3

0

1.2. Material properties#

Plate for pulley and rope:

Poisson’s ratio: \(0.4762\)

Young’s module: \(147.619{10}^{5}N\mathrm{/}{m}^{2}\)

Finite contact elements:

Integration: Nodes

Method parameter:

coef_regu_cont=1.

1.3. Boundary conditions and loads#

The pulley is stuck:

  • on its internal surface the displacement is zero in both directions \(x\) and \(y\).

No boundary conditions are imposed on the rope except that of contact.

Charging:

  • two vertical movements are imposed on both ends of the \(u\mathrm{=}1\) rope