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1993•The Journal of the Acoustical Society of AmericaRequires access

Modeling of the vibration of a slotted beam under various conditions

XiuTing C. Man, R. D. Finch

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Abstract

An analytical solution for the vibration of a slotted beam with clamped–clamped end conditions was presented previously [J. Acoust. Soc. Am. 92, 2311(A) (1992)]. The analytical solution for other classic end conditions, for example, free–free and pinned–pinned end conditions, is now presented. The theory is expanded to include damping as well. Solutions for general end conditions will also be presented. The effect of rotatory inertia, as in Timoshenko beam theory, is discussed quantitatively. Numerical results will be presented with some experimental results. [Work supported by NSF Grant No. MSS-9024224.]

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An analytical solution for the vibration of a slotted beam with clamped–clamped end conditions was presented previously [J. Acoust. Soc. Am. 92, 2311(A) (1992)]. The analytical solution for other classic end conditions, for example, free–free and pinned–pinned end conditions, is now presented. The theory is expanded to include damping as well. Solutions for general end conditions will also be presented. The effect of rotatory inertia, as in Timoshenko beam theory, is discussed quantitatively. Numerical results will be presented with some experimental results. [Work supported by NSF Grant No. MSS-9024224.]

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Available abstract

An analytical solution for the vibration of a slotted beam with clamped–clamped end conditions was presented previously [J. Acoust. Soc. Am. 92, 2311(A) (1992)]. The analytical solution for other classic end conditions, for example, free–free and pinned–pinned end conditions, is now presented. The theory is expanded to include damping as well. Solutions for general end conditions will also be presented. The effect of rotatory inertia, as in Timoshenko beam theory, is discussed quantitatively. Numerical results will be presented with some experimental results. [Work supported by NSF Grant No. MSS-9024224.]

Key concepts: Vibration, Timoshenko beam theory, Beam (structure), Work (physics), Inertia, Moment of inertia, Mathematics, Acoustics

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