1. Overall description of the problem
When a simply supported flexible shaft is accelerated through its first natural bending frequency, its operation goes from sub- to super-critical and large lateral oscillations result.
2. Input file
The input file for Dymore 4.0 is available in two formats
- A plain text version of the input file, and
- A web version of the input file.
3. Numerical results
Numerical predictions can be downloaded here for the lateral buckling of a beam. Each archive (in .zip format) contains the following information.
- An Octave script for plotting (.m file),
- Existing numerical predictions (.dat files).
The following data is available.
- The components of displacement along unit vector i_{2} and i_{3}, denoted u_{2} and u_{3} respectively, at shaft's mid-point. (zip),
- The components of linear velocity along unit vector i_{2} and i_{3}, denoted v_{2} and v_{3} respectively, at shaft's mid-point. (zip),
- The component of transverse shear force in the material basis along unit vector e_{2} and e_{3}, denoted F_{2} and F_{3} respectively, at shaft's mid-point. (zip),
- The component of bending moment about unit vector e_{2} and e_{3}, in the material basis, denoted M_{2} and M_{3} respectively, at the shaft's mid-point. (zip),
- The trajectory of shaft's mid-point viewed by inertial observer and a rotating observer respectively. (zip),
- The phase plot of shaft's mid-point. (zip),