Free Vibration of Stochastic Beam-Column

by Masaru Hoshiya, Asst. Prof. of Engrg. Mech.; Virginia Polytechnic Inst. and State Univ., Blacksburg, VA,
Haresh C. Shah, Assoc. Prof. of Struct. Engrg.; Stanford Univ., Stanford, CA,

Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 4, Pg. 1239-1255

Document Type: Journal Paper


The mean and variance of nth natural frequency of a beam-column are obtained by a perturbation method when the material and geometric properties, the axial load, and the boundary conditions are probabilistic. The realtive effects of uncertainty in input parameters such as axial load and structural properties with uncertainty in output parameters of natural frequency are studied. It is found that the deviation of the output is great for the small deviation of inputs.

Subject Headings: Axial loads | Material properties | Vibration | Stochastic processes | Beam columns | Natural frequency | Uncertainty principles | Parameters (statistics)

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