MATHEMATICAL MODELING AND ANALYSIS OF FLUTTER IN BENDING-TORSION COUPLED BEAMS, ROTATING BLADES, AND HARD DISK DRIVES

In this study, the author presents a review of several research directions in the area of mathematical analysis of flutter phenomenon. Flutter is a structural dynamical instability that occurs in a solid elastic structure interacting with a flow of gas or fluid, and consists of violent vibrations of the structure with rapidly increasing amplitudes. The focus of this review is a collection of models of fluid-structure interaction, for which precise mathematical formulations are available. The main objects of interest are analytical results on such models, which can be used for flutter explanation, its qualitative, and even its quantitative treatments. This paper is not intended to be a comprehensive review of the enormous amount of engineering literature on analytical, computational, and experimental aspects of the flutter problem. A brief exposition of results obtained in several selected papers or groups of papers is offered on the following topics: 1) bending-torsion vibrations of coupled beams; 2) flutter in transmission lines; 3) flutter in rotating blades; 4) flutter in hard disk drives; 5) flutter in suspension bridges; and 6) flutter of blood vessel walls. Lastly, the paper looks at the most well-known case of flutter; flutter in aeroelasticity. The last 2 sections are devoted to precise analytical results from the author's several recent papers on a specific aircraft wing model in a subsonic, inviscid, incompressible airflow.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/08931321
• Corporate Authors:

  American Society of Civil Engineers

  1801 Alexander Bell Drive
  Reston, VA  United States  20191-4400
• Authors:
  • Shubov, M A
• Publication Date: 2004-4

Language

• English

Media Info

• Features: Figures; References;
• Pagination: p. 56-69
• Serial:
  • Journal of Aerospace Engineering
  • Volume: 17
  • Issue Number: 2
  • Publisher: American Society of Civil Engineers
  • ISSN: 0893-1321
  • EISSN: 1943-5525
  • Serial URL: http://ascelibrary.org/journal/jaeeez

Subject/Index Terms

• TRT Terms: Aerodynamics; Aeronautical engineering; Flutter; Mathematical models; Rotor blades; Vibration
• Subject Areas: Aviation; Vehicles and Equipment;

Filing Info

• Accession Number: 00972291
• Record Type: Publication
• Files: TRIS
• Created Date: Apr 5 2004 12:00AM