Developed is a model for studying the vibrations of a wind turbine tower subjected to
random wind loadings. The tower is modeled as an elastic Euler‐Bernoulli beam, viscously
damped and fixed at the bottom. The concentrated mass of the turbine is located at the top of
the tower where also the wind loading is applied as a step function. The partial differential
equation of the model is managed by the method of separation of variables and along with
the applied modal analysis produces an efficient numerical‐analytic solution algorithm …