THREE-DIMENSIONAL RESPONSE AND INTENSITY OF TORSIONAL VIBRATION IN A STEPPED SHAFT

✍ Scribed by J.Q. PAN; J. PAN; R.S. MING; T. LIN

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 222 KB
• Volume: 236
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.2964

✦ Synopsis

In this paper, a method is presented for predicting the three-dimensional dynamic response, shear stresses and structural intensity of torsional vibration in a "nite shaft with stepped cross-sections. The series expansion techniques is employed to express the dynamic responses and shear stresses in terms of the eigenfunctions of torsional vibration in uniform cylindrical rods. The coe$cients of the series are determined by enforcing the boundary conditions through the least-squares "tting. The e!ectiveness of this proposed method is assessed and illustrated by numerical results. The numerical results also revealed the characteristics of dynamic response, shear stresses and intensity vector "elds in a "nite stepped shaft and showed that the application of the one-dimensional torsional vibration theory to a "nite stepped shaft not only misses out radial modal responses, but also results in a large error for the prediction of responses of axial modes when the resonance frequencies of all the segments (in free}free end conditions) do not coincide.

2000 Academic Press