Example For the beam shown in Fig. where the initial data are given, it is required:
1) determine the frequencies of self oscillation;
2) find the eigenvectors and depict the principal vibration forms corresponding to them;
3) check the orthogonality of the principal oscillation forms;
4) determine the amplitude values of inertia forces in forced oscillations with frequency θ=αω1;
5) construct dynamic, static and total bending moment diagrams, determine the coefficients of
dynamics;
6) select the I-beam cross-section of the beam under consideration and determine the
numerical values of frequencies ω1 and ω2.
