[EN] We present a comprehensive analysis of a classical problem related to emptying tanks, which have a shape resembling a solid of revolution and feature a circular hole at their base through which the liquid is discharged. ...

[EN] We combine the stochastic perturbation method with the maximum entropy principle to construct approximations of the first probability density function of the steady-state solution of a class of nonlinear oscillators ...

[EN] In this paper, we present a comprehensive probabilistic analysis of the deflection of a static cantilever beam based on Euler-Bernoulli's theory. For the sake of generality in our stochastic study, we assume that all ...

[EN] This paper addresses the probabilistic analysis of the deflection of a cantilever beam by means of a randomization of the classical governing fourth-order differential equation with null boundary conditions. The ...

[EN] A number of relevant models in Classical Mechanics are formulated by means of the differential equation y ''(t) + At-beta y(t) = 0. In this paper, we improve the results recently established for a randomized reformulation ...

[EN] We study a class of single-degree-of-freedom oscillators whose restoring function is affected by small nonlinearities and excited by stationary Gaussian stochastic processes. We obtain, via the stochastic perturbation ...