Dynamic Analysis of Linear and Nonlinear Oscillations of a Beam Under Axial and Transversal Random Poisson Pulses

Marcello Vasta (1) , Angelo Luongo (2)

1 PRICOS - Progettazione Riabilitazione e Controllo delle Strutture Architettoniche
2 DICEAA - Dipartimento di Ingegneria Civile, Edile-Architettura, Ambientale

This paper proposes an approximate explicit probability density function for the analysis of external and parametric oscillation of a simply supported beam driven by random pulses. The impulsive loading model adopted is Poisson white noise, which is a process having Dirac delta occurrences with random intensity distributed in time according to Poisson's law. The response probability density function can be obtained by solving the related Kolmogorov-Feller integro-differential equation. An approximate solution is derived by transforming this equation to a first-order partial differential equation. The method of characteristics is then applied to obtain an explicit solution. The theory has been validated through numerical simulations.

Domaines: Génie mécanique [physics.class-ph]; Génie mécanique [physics.class-ph]

Marcello Vasta, Angelo Luongo. Dynamic Analysis of Linear and Nonlinear Oscillations of a Beam Under Axial and Transversal Random Poisson Pulses. Nonlinear Dynamics, 2004, 36 (2-4), pp.421-435. ⟨hal-00795111⟩