Double eigenvalues for the uniform Timoshenko beam

Applied Mathematics Letters

Volumn 10, Issue 3, 1997, Pages 129-134

  Geist, B ^a   McLaughlin, J R ^b  

^a Unisys   (United States)

^b Research Rensselaer Polytechnic Institute   (United States)

Author keywords

Asymptotic distribution of eigenvalues; Boundary value problems; Timoshenko beam

Indexed keywords

EID: 0000247441     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(97)00048-7     Document Type: Article

References (6)

1. S.P. Timoshenko, On the correction for shear of the differential equation for transverse vibrations of prismatic bars, Philosophical Magazine 41 (Series 6), 744-746 (1921).
2. S.P. Timoshenko, On the transverse vibrations of bars of uniform cross sections, Philosophical Magazine 43 (Series 6), 125-131 (1922).
3. T.C. Huang, The effect of rotatory inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions, Journal of Applied Mechanics 28, 579 (1961).
4. B. Geist, The asymptotic expansion of the eigenvalues of the Timoshenko beam, Ph.D. Thesis, Rensselaer Polytechnic Institute, (1994).
5. G.R. Cowper, The shear coefficient in Timoshenko's beam theory, Transactions of the ASME Series E (88), 335-340 (1966).
6. E.P. Popov, Introduction to Mechanics of Solids, p. 314, Prentice Hall, Englewood Cliffs, NJ, (1968).