VIBRATION ANALYSIS OF ELASTICALLY SUPPORTED TURBOMACHINERY BLADES BY THE MODIFIED DIFFERENTIAL QUADRATURE METHOD

✍ Scribed by S.-T. CHOI; Y.-T. CHOU

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 233 KB
• Volume: 240
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.3267

✦ Synopsis

The modi"ed di!erential quadrature method (MDQM) is proposed for vibration analysis of elastically supported turbomachinery blades. A pre-twisted blade with varying cross-section is modelled as a Timoshenko beam. The blade is supported by two translational springs and three rotational springs at each end, and has a shroud that is modelled as a mass at the tip of the blade. The equations of motion and the boundary conditions for the coupled #exural and torsional vibration of the blade are obtained by using Hamilton's principle. Numerical results of elastically supported blades with or without a shroud are obtained by the MDQM and are validated by comparing with analytical solutions. Campbell diagrams for a pre-twisted blade with an airfoil cross-section are constructed. The accuracy and e$ciency of the present approach have been demonstrated.

2001 Academic Press