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Numerical response characteristics of a uniform beam carrying one discrete load

Lutes, Loren Daniel (1965) Numerical response characteristics of a uniform beam carrying one discrete load. California Institute of Technology . (Unpublished)

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Many practical cases of uniform beams carrying discrete loads cannot be accurately approximated either as single degree of freedom systems, or as simple uniform beams. A mathematical analysis of such systems is presented, where Bernoulli-Euler theory is used for the beam, and the effects of both the mass and the rotational inertia of the discrete load are included. Numerical values of various normal mode factors are presented for seven particular systems -- namely: a fixed-free beam with the discrete load at the tip, and fixed-fixed and hinged-hinged beams with the discrete load at the mid-point, at the one-third point, and at the one-sixth point. These factors enable one to obtain natural frequencies, made shapes, and modal response to support motion excitation.

Item Type:Report or Paper (Technical Report)
Group:Dynamics Laboratory
Record Number:CaltechEERL:1965.DYNL.1965.002
Persistent URL:
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:26497
Deposited By: Imported from CaltechEERL
Deposited On:19 Feb 2008
Last Modified:03 Oct 2019 03:15

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