 Register   #### TEST CASE 6.4 CYLINDER CONTACT PROBLEM

Reference:

П. Панагиотопулос, Неравенства в механике и их приложения, Москва: «Мир», 1989, стр. 387.

Problem description:

Cylindrical pipe is anchored to concrete. The concrete is considered as absolutely rigid. Pipe is loaded via trapezoidal distributed changed along the height pressure with maximal ordinate Pmax. Determine rotational angle ψ, at which contact is maintained. Find also maximal radial displacement Ur.

Problem sketch: Type of created problem:

The spatial structure (X, Y, Z, UX, UY, UZ).

Geometric characteristics:

Cylinder radius: R = 1.315 m;

Cylinder wall thickness: t = 0.04 m;

hw = 1.18 m.

Material properties:

Elastic modulus: E = 60 kN/cm2;

Poisson’s ratio: μ = 0.3;

Stiffness of one-sided links: EA/L = 1·107 kN/m.

Boundary conditions:

All circuit nodes: Z = UX = UY = 0;

Points О and А: X = Y = Z = UX = UY = UZ = 0;

Point В: X = Z = UX = UY = UZ = 0.

Pmax = 5.8·(hw + 2·R) kN/m.

Model description:

The system is modeled by 180 general finite elements of spatial bar (FE type is 10) and 181 physically nonlinear bar FE of one-sided inelastic links (FE type is 265). Because of symmetry only a half of construction is considered. For nonlinear solution, iterative process is used (number of steps is 1, minimum number of iterations is 2334).

Calculation results:

 Target value Numerical solution LIRA 10 Deviation, % ψ, deg 120-125 122 0.00 Ur, cm 1.118 1.1176 0.036 Contact domain 