Alexandrova N. Deformation of structural elements at longitudinal vibrations with account of their defects.

Deformation of structural elements with damages at their longitudinal oscillations. To research a modification of parameters of oscillations with the purpose of detecting the damages. A method of research is the plotting of physical and mathematical models of longitudinal oscillations of rods with damages such as cracks and analysis of the obtained solutions. The frequencies and amplitudes of oscillations of rods are retrieved when the defects are presence in them. The analytical dependence between the size of a defect, frequencies and vibration amplitudes has been determined. The functions have been offered which allow to reveal a crack and its size: change of vibration frequency, asymmetry of vibration amplitude, asymmetry of acceleration amplitude, availability of higher harmonics. Graphs, revealing the defects, have been plotted.