185x
004017
2023-10-17

Prevención de modos de energía cero

Los modos de energía cero, también conocidos como modos de valores propios cero, ocurren cuando el sistema discretizado está indeterminado o no se puede resolver de forma única. This means that there are more degrees of freedom (unknowns) than equations available. Mathematically, zero-energy modes are special solutions of the system of equations associated with an eigenvalue of zero. Thus, this mode can be activated without energy supply and, potentially, a deformation without strain occurs.

As zero-energy modes can lead to model instability and unphysical solutions, several methods are advisable in RFEM to prevent this problem.

  1. Mesh Refinement: Ensure that your mesh is sufficiently refined, especially in areas with high stress gradients or complex geometry. A fine mesh can help capture the deformation more accurately and reduce the likelihood of zero-energy modes.
  2. Material Properties: Ensure that you have assigned suitable material properties to your model. Incorrect material properties can lead to unrealistic behavior and potentially cause zero-energy modes. Double-check the material parameters and properties.
  3. Boundary Conditions: Verify that your boundary conditions are correctly applied. Improper boundary conditions can cause zero-energy modes. Ensure that all degrees of freedom are correctly constrained or loaded.
  4. Solver Settings: Review the solver settings in RFEM. Some solvers have options to stabilize the analysis and prevent zero-energy modes. Adjust the solver settings to use stabilization techniques if available.
  5. Damping: Introduce damping into your analysis if necessary. Damping can help stabilize the analysis and prevent zero-energy modes. However, use damping judiciously to avoid introducing artificial damping that affects the accuracy of results.
  6. Check Geometry: Ensure that your model geometry is correct and free of errors. Small gaps or overlaps in the geometry can lead to numerical issues, including zero-energy modes.
  7. Sensitivity Analysis: Perform sensitivity analyses to identify critical parameters or areas that might be more susceptible to zero-energy modes. You can then take specific actions to address these areas.
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