The Effects Of Longitudinal And Circumferential Cracks On The Torsional Dynamic Response Of Shafts

TL;DR

This study investigates how longitudinal and circumferential cracks affect the torsional dynamic response of shafts, revealing that cracks influence resonance frequencies depending on their type, size, and location, which is crucial for shaft integrity assessment.

Contribution

The paper models the impact of longitudinal and circumferential cracks on shaft torsional dynamics, providing new analytical expressions for resonance frequency changes based on crack characteristics.

Findings

Longitudinal cracks minimally affect resonance frequencies.

Circumferential cracks significantly influence resonance depending on crack length and position.

Resonance frequencies depend on crack size, location, and interaction effects.

Abstract

Turbo-generators shafts are manufactured through the extrusion process. This results in the formation of weak planes along the extrusion process. It has been observed that large longitudinal cracks often form in these shafts before any circumferential cracks when these shafts are subjected to cyclic torsion due to electrical line faults. The presence of these cracks could severely compromise the shaft resonance frequencies. Dynamic response of shafts with longitudinal and circumferential cracks is investigated. The longitudinal cracked section of the shaft section is modeled as a shaft with reduced torsional rigidity. The torsional rigidity is obtained as a function of the crack depth. It was found for various shaft diameters, torsional rigidity could be represented as a function of crack depth/ shaft radius only. The circumferential cracked section is modeled as a torsional spring. The torsional spring constant has been obtained using fracture mechanics. It was found the resonance frequency of the shaft may be little affected by the presence of longitudinal crack. The resonance frequencies of the shaft with the circumferential crack depend on the crack length and location. The effects of crack surface interactions for both longitudinal and circumferential cracks were also investigated.