Finite element method for frames/beams

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SUMMARY

The discussion focuses on implementing internal hinges in finite element method (FEM) simulations for frames and beams. The user encountered singularity issues in the stiffness matrix when two interconnected beams have a hinge at the same location. The solution identified involves treating the hinged joint as fixed in terms of rotation, effectively eliminating the rotational degree of freedom at that joint. This approach resolves the singularity problem while maintaining the integrity of the model.

PREREQUISITES
  • Understanding of finite element method (FEM) principles
  • Familiarity with stiffness matrix formulation in structural analysis
  • Knowledge of beam theory and joint behavior in structural mechanics
  • Experience with programming in a relevant simulation environment
NEXT STEPS
  • Research methods for handling singularity in stiffness matrices in FEM
  • Explore advanced beam theory concepts, particularly regarding joints and hinges
  • Learn about implementing constraints in FEM software
  • Investigate programming techniques for structural analysis simulations
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Structural engineers, mechanical engineers, and software developers working on finite element analysis applications, particularly those focusing on frame and beam structures.

mohamadh95
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I would like to know how to implement internal hinges in a program I'm developing. A hinge is created by changing the stiffness matrix of the beam. The problem is when two interconnected beams have a hinge at the same location, so basically we have a hinged joint, in this scenario I will obtain singularity in the stiffness matrix.
I'm mainly interested in hinged joint so is there another way to do it? Thank you
 
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I actually managed to find the solution. Consider the hinged joint as fixed in terms of rotation since the rotational degree of freedom of that joint is not free anymore.
 

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