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Journal ArticleDOI

Dean and Plass method calculations of the flexural frequencies of Timoshenko beams

K.B. Subrahmanyam, +2 more
- 08 Mar 1982 - 
- Vol. 81, Iss: 1, pp 141-146
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This article is published in Journal of Sound and Vibration.The article was published on 1982-03-08. It has received 2 citations till now. The article focuses on the topics: Timoshenko beam theory & Flexural strength.

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Citations
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An improved finite difference analysis of uncoupled vibrations of cantilevered beams

TL;DR: In this article, the first and second order central difference schemes were used to obtain the frequency and mode shape of uniform cantilever beams with a rapid convergence as compared to the conventional approach of using the first order central differences.

An improved finite-difference analysis of uncoupled vibrations of tapered cantilever beams

TL;DR: In this article, an improved finite difference procedure for determining the natural frequencies and mode shapes of tapered cantilever beams undergoing uncoupled vibrations is presented, where boundary conditions are derived in the form of simple recursive relations involving the second order central differences.
References
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Coupled bending-bending vibrations of pre-twisted cantilever blading allowing for shear deflection and rotary inertia by the Reissner method

TL;DR: In this paper, the Reissner method and the total potential energy approach were applied to a pre-twisted cantilever blade executing coupled bending-bending vibrations, and the natural frequencies and mode shapes of the first four coupled modes were determined.
Journal ArticleDOI

Coupled bending-torsion vibrations of rotating blades of asymmetric aerofoil cross section with allowance for shear deflection and rotary inertia by use of the Reissner method

TL;DR: Theoretical natural frequencies and modal shapes of the first five modes of vibration are presented for a rotating blade of asymmetric aerofoil cross section, with allowance for shear deflection and rotary inertia.