Dynamic Analysis of the Joint Dominated Beamby Elias G. Abu-Saba, North Carolina A&T State Univ, United States,
Archibald N. Sherbourne, North Carolina A&T State Univ, United States,
Raymond C. Montgomery, North Carolina A&T State Univ, United States,
Abstract: A method is presented herein to determine the vibration modes of the Joint Dominated Beam. An example of a cantilever beam is selected for this purpose. The truss type beam is analysed as a homogeneous section with the equivalent moment of inertia derived from the contribution of the chords only. Such an assumption is justified for slender beams for which the deflections due to web strains is negligible. Based on the above assumptions, a lumped mass system is selected as a model. The flexibility of the systems is derived from the deflection equation of the cantilever beam. Maxwell's law of reciprocity is used to minimize the computational procedure and a set of algorithmic statements is obtained.
Subject Headings: Trusses | Joints | Cantilevers | Displacement (mechanics) | Structural analysis | Vibration | Homogeneity
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