Abstract
Analytical solutions for free‐vibration analysis of continuous orthotropic bridge decks are generally based on tedious numerical techniques and indirect solutions to the governing differential equation. Existing literature and results on vibration of continuous orthotropic plates is quite limited. A frequency analysis is required in order to avoid a state of resonance under live load conditions. This paper presents an empirical approach, based on the orthotropic plate theory, using a modified Levy‐type solution that draws on the principle of superposition. For the purpose of design, it is often convenient to know empirical relationships giving the range and approximate magnitude of natural frequencies. Such empirical relationships between the geometrical and structural properties of the bridge deck and associated eigenvalues are established here and presented in nondimensional form for ready reference. The solution is formulated for linearly elastic materials with isotropic or orthotropic properties and is based on the ordinary theory of thin plates.
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