Exact stochastic analysis of coupled bending-torsion beams with in-span supports and masses

The stochastic response of a coupled bending-torsion beam, carrying an arbitrary number of supports/masses, is investigated. Using the theory of generalized functions in conjunction with the Euler-St. Venant coupled bending-torsion beam theory, exact analytical solutions under stationary inputs are obtained based on frequency response functions derived by two different closed-form expressions. The analytical solutions are obtained for all response variables, considering any number of supports/masses along the beam and arbitrary spatial load distributions. Two numerical examples are reported.