Stability Analysis of a Tensioned String With Periodic Supports

摘要: Abstract : This report analyzes the zero-pole locations of an infinite length tensioned string that has attached periodic supports. The dynamic response system is derived for distributed wave number forcing and discrete point acting on string. These number-frequency transfer functions are then written in format by a mathematical transformation their series. Once this accomplished, system's poles zeros become apparent, they can be plotted frequency plane. It shown there specific regions where exist cannot exist. For with forcing, correspond very closely to except area fundamental unsupported resonance. entire plane at A numerical example included, different zones demonstrated.