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The paper focuses on the dynamic response of a wind turbine tower induced by wind loading. The tower is represented as an elastic beam with variable cross-section. The rotor is regarded as a rigid non-rotating mass attached at the top of the tower. The solution of the constitutive equation is accomplished by finite element discretization. The eigenproperties of the model are determined. The stress distribution along the tower is investigated. A numerical experiment has been demonstrated. [ABSTRACT FROM AUTHOR]

The dynamic response of an elastic beam attached to a spring rigid bar of two degrees of freedom is studied in this paper. The partial differential equation (PDE) describing the beam and the ordinary differential equations (ODEs) concerning the rigid bar are transformed into a homogeneous first order system of equations. The eigenfrequencies and mode shapes of the beam are determined and the problem is solved by the matrix exponential method. A numerical experiment based on true-life values of the parameters is presented. The results are verified by Finite Element (FE) code modeling. An optimization problem with respect to the system parameters is solved. [ABSTRACT FROM AUTHOR]