Vibration of a Bridge Under a Random Train of Moving Loads

by M. Di Paola, Univ of Palermo, Palermo, Italy,
G. Ricciardi, Univ of Palermo, Palermo, Italy,



Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability

Abstract:

The vibration of a beam resulting from the passage of moving loads is a problem of great importance in structural dynamics. A consistent model for the description of the loads acting on the bridge is that the force arrivals constitute a Poisson process of events and the force amplitudes are assumed to be random variables, which are mutually independent and independent of time arrivals. The paper presents a general technique based on the extension of Ito differential rule to account of the non-normality of the input to analyze vibrations of a bridge under moving loads. The equations of moments and cumulants of every order are obtained and the results are compared with the Monte Carlo simulation procedure.

Subject Headings: Moving loads | Dynamic loads | Vibration | Load factors | Bridges | Probability | Structural dynamics

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