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Random Vibration of a Structure via Classical and Nonclassical Theories

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Probabilistic Methods in the Mechanics of Solids and Structures

Summary

Random vibration of Bresse-Timoshenko beams, with shear deformation and rotary inertia taken into account, is studied. Two types of excitation are considered — distributed loading represented by spacewise white noise, and concentrated point loading. Timewise, both excitations are given by band-limited white noise with lower and upper cutoff frequencies. When the lower cutoff frequency vanishes, the lower modes of vibration play a decisive role, and classical and nonclassical theories yield coincident or close results; if the lower cutoff frequency is such that mostly higher modes are excited, the difference between predictions by these theories, may reach 50%.

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© 1985 Springer-Verlag, Berlin, Heidelberg

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Elishakoff, I., Lubliner, E. (1985). Random Vibration of a Structure via Classical and Nonclassical Theories. In: Eggwertz, S., Lind, N.C. (eds) Probabilistic Methods in the Mechanics of Solids and Structures. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82419-7_43

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  • DOI: https://doi.org/10.1007/978-3-642-82419-7_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82421-0

  • Online ISBN: 978-3-642-82419-7

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