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2025-02-03

Tab: Eigenvalue Method

Image of the settings in the "Eigenvalue Method" tab:

The settings in the "Eigenvalue Method" tab are organized into several sections:

Tab Section: Eigenvalue Method

Lanczos
  • Available in RFEM
 
  • Default setting for direct determination of eigenvalues
 
  • The calculations converge quickly and provide very good results for low eigenvalues of small to medium-sized models with 10,000 to 100,000 degrees of freedom.
 
Roots of characteristic polynomial
  • Available in RFEM
 
  • Method with high accuracy for the calculation of higher eigenvalues
 
  • Suitable for small to medium-sized models (like Lanczos), but often with better performance
 
Subspace iteration method
  • Available in RFEM, RSTAB
 
  • Method with high stability/robustness for poorly conditioned (numerically unstable) matrices
 
  • Not suitable for complex systems; negative load factors may occur.
 
Shifted inverse iteration
  • Available in RSTAB
 
  • Method with short calculation time due to fast convergence
 
  • Results between the largest and smallest eigenvalue of the given matrix can also be determined.
 

Tab Section: Matrix Type

Standard
  • Calculation using the geometric stiffness matrix of the linear equation system
Unit (for checking and determination of precision)
  • Calculation without consideration of the physical properties of the model by using the unit matrix
 
  • Use as a reference for numerical and kinematic analyses

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