Change in the Natural Vibration Frequency Spectrum of the Steel Pipe Mathematic Model Depending on Sizes, Location, and Number of Local Defects
The article discusses issues related to the research of the influence of sizes and location of local defects on the change in the natural vibration frequencies spectrum of the steel pipe model fixed on a single threshold. The research was made using the finite element analysis (FEA) and the SCAD computing system. Nonlinear dependence of the natural vibration frequencies on the defect size and its location was ascertained. Such nonlinearity in the course of defects accumulation is classified as a genetic nonlinearity. Completed research reveals that the scale and the location of defects can be determined by the pattern of their change during the monitoring of main dynamic characteristics in the course of the building operation. It has been ascertained that the first frequency of torsional natural vibrations of the pipe declines with greater intensity than the first and other lateral vibration frequencies in case of a specific location of a growing local defect. There have been no regulatory requirements for the time being to the analysis of structures (flue stacks) subject to torsional vibrations. However, for example, it was ascertained during the expert examination of anchoring of a steel pipe in service and having vertical stiffeners throughout the height that all the anchors damaged circumferentially have an inclination to one and the same side. Furthermore, the value of such an inclination coincides with results of observations of the pipe top deviation change in azimuth. An attempt was made during the research to determine the limit value of frequencies that would correspond to occurrence of the first, the second or the third limit states of operated construction structures with defects.