Majkut L., Engel Z.

The purpose of the study is demonstration of possibility of boundary conditions identification in under-determined problem. The problem is understood as determining four constants necessary for description of the functions of forced vibration amplitudes, from three equations. For this the Singular Value Decomposition (SVD) algorithm is used. After estimation the function of forced vibration amplitudes, support elasticities coefficients can be calculated from the equations describing the boundary conditions. Verification of the obtained mathematical model (elastically supported Bernoulli-Euler's beam) was done by: comparing natural frequencies obtained from the analytical and numerical model, and analysis the correlation between the eigenvectors.