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Static Analysis with Large Deformation Problem
This chapter contains a static analysis with large deformation problem. In such an analysis, Structure calculates the deformations, stresses, and strains that occur as a result of a load that produces a large deformation where the model's deformed configuration differs appreciably from its original configuration.
In addition to a set of standard results, Structure also automatically calculates all predefined measures. This list of measures differs based on the analysis type.
mvsd001: Hinged Right-Angle Frame Under a Single Nonconservative Force
Analysis Type:
Large Deformation Analysis
Model Type:
3D
Reference:
Argyris, J.H., and Symeonidis, Sp., "Nonlinear Finite Element Analysis of Elastic Systems Under Nonconservative Loading Natural Formulation Part I. Quasistatic Problems," Computer Methods in Applied Mechanics and Engineering, 26 (1981), pp75–123.
Description:
A hinged, right-angle frame is constrained in translation at the upper right and lower left corners. It is subjected to a nonconservative downward load 96 cm from the upper right constraint. The load is simulated using a pressure load applied over a small area. Calculate the lateral and vertical displacements at the load application point.
Specifications
Element Type:
solid (56)
Units:
cm, N
Dimensions:
length: 120
width: 3
depth: 2
Material Properties:
Mass Density: 0
Cost Per Unit Mass: 0
Young's Modulus: 7.2e6
Poisson's Ratio: 0.3
Thermal Expansion: 0
Conductivity: 0
Constraints:
at upper right and lower left corners: fixed in translation
Loads:
Location/Magnitude:
Distribution:
Spatial Variation:
vertical
15 kN over 3 cm2 applied at 96 cm from the upper right constraint
pressure
uniform
Comparison of Results Data
Displacements at the load application point
Theory
Structure
% Difference
Lateral Displacement (x)
3.5
3.88
10%
Vertical Displacement (y)
17.0
16.4
3.5%
Convergence: SPA
RMS Stress Error Estimates: 0.3 %
Max P: 7
No. Equations: 3912