Introduction

*INTEGRATION_SHELL
 Cantilever Beam with Lobatto Integration
 LS-DYNA Manual Section: *INTEGRATION_SHELL

Additional Sections:
*DAMPING_GLOBAL
*LOAD_NODE_POINT

Example: Cantilever Beam with Lobatto Integration

Filename: integration_shell.lobotto.beam.k

Description:
A cantilever beam has a concentrated load, and then the beam vibration
critically damps. Lobatto integration rules place the quadrature points on
the true surfaces of the shell. [ See Hughes].

Model:
The plate measures 1.00 * 0.10 * 0.01 in 3 and is modeled with 60
Belytschko-Tsay shell elements. The displacement of the nodes is fixed at one
end and a concentrated load is applied to the other end. Symmetry conditions
for the plane strain case exist on the beam sides.

Input:
The concentrated loads and load curve definition 1 defines the load on the
end of the beam (*LOAD_NODE_POINT, *DEFINE_CURVE). The beam is critically
damped (*DAMPING_GLOBAL) The number of integration points is 5
(*SECT ION_SHELL). The shell integration rule is the Lobatto integration rule
(*SECTION_SHELL)

Results:
The displacement of the beam damps out critically. The x-stress values at the
integration points exhibit tension on one side, compression on the opposite
side, and balance at the neutral axis.