Mathematical solution of 3-D response of slender structures to wind action

This paper is part of a research program aimed at extending the gust factor technique from the sector of the alongwind response to the 3-D wind response of structures. A unitary framework is given to the alongwind, crosswind and torsional vibrations of slender structures and structural elements in the atmospheric boundary layer. Based upon the definition of the 3-D gust response factor, general expressions are derived for calculating the expected maximum displacements and the equivalent static wind actions. Closed form expressions of these quantities are derived by defining an equivalent spectrum of external loads identically coherent in space