Analiza drgań parametrycznych układów ciągłych poddanych stałemu obciążeniu poprzecznemu z zastosowaniem metody asymptotycznej i metody elementów skończonych

The analysis of parametric vibration in a system with constant transversal loading is presented. Two examples are considered: flexural beam vibrations generated by axial force, and varying length beam vibrations. The asymptotic method is applied, and numerical method with the use of finite elements. It has been found that an additional class of parametric vibration exists in the system with parametric excitation. Properties these vibrations are similar to those of harmonic force.