Model large deformation beam
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Model: Large Deformation Beam. Introduction. This example shows the deflection of a cantilever beam undergoing very large deflections.

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Model: Large Deformation Beam

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Model large deformation beam

Model: Large Deformation Beam


Introduction

Introduction

  • This example shows the deflection of a cantilever beam undergoing very large deflections.

  • The model is called “Straight cantilever GNL Benchmark” and is described in detail in the NAFEMS report “Background to Finite Element Analysis of Geometric Non-linearity Benchmarks”.


Problem definition

Problem definition

Fy

  • The beam is linear elastic, with E = 2.1.1011 and n=0.

  • The left end is fixed.

  • The right end is subjected to distributed loads. Fx = -3.844.106 and Fy=-3.844.103.

Fx


Results

Results

  • The final state (using 1:1 displacement scaling) is shown in the figure.

  • Due to the large compressive axial load, this is a buckling problem.It is necessary to perturb the symmetry somewhat. The small transversal load (Fy) serves this cause.


Results1

Results

  • The vertical (solid line) and horizontal (dashed line) displacements for varying load (Fx).

  • The results are in excellent agreement with the NAFEMS report.


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