Relativity book Relativity papers
                 
Relativity IARD Tornado Supernova Fulltext paper Astronomical jets
Fulltext
paper
Life Tiny dictionary Virtual editor Photographs of views Colors Contact
 TITLE: Vibration of a rotating shaft by the "Timoshenko beam" Theory
 AUTHORS: Porat, I. (1934-2012), Niv, M.
 SOURCE: Israel J. Technol., v. 9, No. 5, pp. 535-546 (1971).
 LANGUAGE: English.
 8 references.

 ABSTRACT SOURCE: Israel J. Technol., v. 9, No. 5, p. 535 (1971).
 ABSTRACT: The equation of motion of a rotating symmetrical shaft was solved under the basic assumption of the "Timoshenko beam theory" (allowance for shear and rotary inertia) and gyroscopic moments. The relation between rotational speed and natural vibration frequency is given for every mode, and the forward and backward resonance equation is derived from it. A physical interpretation is given, based on familiar dynamic effects, and it is proved that only forward resonance is caused by the rotation! There are four natural vibration frequencies (two positive and two negative) for every mode, one pair with "low" frequency values, (Euler's solution) and the other with high ones. At high speeds, the high-level natural frequencies are identical for all modes. This is explained by a mechanical model.

● COMMENT: Proceedings of the Nineteenth Israel Annual Conference on Theoretical and Applied Mechanics, Haifa, September 5, 1971.



You may explore selected features of the host internet site

Links to selected features of the host internet site:


 Book on relativity --------->
 Tornado Tornado mechanism and tornado source of energy
 The source of life on Earth Breaking sea waves
 Supernova: Exploding star Bounceback of implosion solved
 Three papers on relativistic rotation:          
 Additional three papers on relativity:          
 List of papers
 Tiny dictionary for touristItaly  Greece  France  Israel
 Photographs of views
 Virtual editor (Software)

Move over the photograph or click for more details


or click for the page of the publisher:

Back to home page

Back to home page

בחזרה לדף הראשי בעברית

בחזרה לדף הראשי בעברית