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Oasys LS-DYNA Environment 8.1 VOLUME 3 ... - Oasys Software

Oasys LS-DYNA Environment 8.1 VOLUME 3 ... - Oasys Software

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<strong>Oasys</strong> <strong>LS</strong>-<strong>DYNA</strong> <strong>Environment</strong>: User Guide (Version <strong>8.1</strong>)<br />

<strong>LS</strong>-<strong>DYNA</strong> Manual Section: *INTEGRATION_SHELL<br />

Example of: Cantilever Beam with Lobotto Integration<br />

Example File Name: beam_lobotto.key<br />

Description:<br />

A cantilever beam is loaded by a concentrated nodal load. The load is then removed and the beam<br />

vibration is critically damped. Lobotto integration rules place the quadrature points on the true<br />

surfaces on the shell. [See Hughes].<br />

Model:<br />

The plate measures 1.00 × 0.10 × 0.01 in 3 and is modeled with 60 Belytschko-Tsay shell elements.<br />

The displacement of the nodes is fixed at one end and a concentrated load of 0.05 pounds is applied<br />

to the other end. Symmetry conditions for the plane strain case exist on the beam sides. The<br />

termination time is 0.01 seconds plus the period of the beam.<br />

Input:<br />

The concentrated loads and load curve definition 1 define the load on the end of the beam<br />

(*LOAD_NODE_POINT, *DEFINE_CURVE). The beam is critically damped<br />

(*DAMPING_GLOBAL) The number of integration points is 5 (*SECTION_SHELL). The shell<br />

integration rule is the Lobotto integration rule (*SECTION_SHELL)<br />

Results:<br />

The displacement of the beam damps out critically. The x-stress values at the integration points<br />

exhibit tension on one side, compression on the opposite side, and balance at the neutral axis.<br />

Page A.82

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