Eigen Solutions for the Euler Cases

  • Sine Leergaard WiggersEmail author
  • Pauli Pedersen
Part of the Springer Tracts in Mechanical Engineering book series (STME)


Specific cases with constant bending stiffness EI and non-elastic BC are named the Euler cases, and results for these are included in most textbooks on stability and vibration. Instability modes and eigenfrequency modes for bending of the Euler cases are presented in tables with corresponding critical instability load and corresponding eigenfrequencies for the first five eigenfrequencies.

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© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of Technology and InnovationUniversity of Southern DenmarkOdense MDenmark
  2. 2.Department of Mechanical EngineeringTechnical University of DenmarkKgs. LyngbyDenmark

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