Stochastic along-wind response of point-like structures

This paper concerns the stochastic response of point-like structures, i.e., single-degree-of-freedom (SDOF) oscillators, subjected to wind pressure. While the ordinary theory (the so-called quasi-static theory) neglects both the quadratic term in the turbulence and the oscillator velocity, the present approach considers both them. To solve the problem, resort is made to stochastic differential calculus that makes it possible to write the equations for computing the statistical moments of the response. The theoretical model is applied to a suspended water reservoir: a parametrical study is accomplished by varying the period of vibration of the structure and the mean wind speed.