## Abstract

This supplement contains some of the most space-consuming inertia matrices derived for the mathematical model of a horizontal axis wind turbine. One is the general inertia matrix, from which the mass, Coriolis and softening matrices are derived. These matrices are coefficients to local substructure degrees of freedom. Other matrices are resulting from extraction of degrees of freedom from enertia vectors, which originate directly from the consistent transformation of the inertia load to the nodes of the beam finite element. These matrices are coefficients to degrees of freedom outside the local substructure. They depend on the actual choice of degrees of freedom and the actual linearization introduced by cancelling of higher order product terms of the degrees of freedom and their time derivatives. The origin of the matrices is explained and some of the most important algebraic manipulations are shown. Further, the complete description of the aerodynamic model is contained in this supplement. A procedure for time simulation of turbulence is part of the model. (au) (46 refs.).

## Citation Formats

Thirstrup Petersen, J.
Kinematically nonlinear finite element model of a horizontal axis wind turbine. Part 2. Supplement. Inertia matrices and aerodynamic model.
Denmark: N. p.,
1990.
Web.

Thirstrup Petersen, J.
Kinematically nonlinear finite element model of a horizontal axis wind turbine. Part 2. Supplement. Inertia matrices and aerodynamic model.
Denmark.

Thirstrup Petersen, J.
1990.
"Kinematically nonlinear finite element model of a horizontal axis wind turbine. Part 2. Supplement. Inertia matrices and aerodynamic model."
Denmark.

@misc{etde_10110615,

title = {Kinematically nonlinear finite element model of a horizontal axis wind turbine. Part 2. Supplement. Inertia matrices and aerodynamic model}

author = {Thirstrup Petersen, J}

abstractNote = {This supplement contains some of the most space-consuming inertia matrices derived for the mathematical model of a horizontal axis wind turbine. One is the general inertia matrix, from which the mass, Coriolis and softening matrices are derived. These matrices are coefficients to local substructure degrees of freedom. Other matrices are resulting from extraction of degrees of freedom from enertia vectors, which originate directly from the consistent transformation of the inertia load to the nodes of the beam finite element. These matrices are coefficients to degrees of freedom outside the local substructure. They depend on the actual choice of degrees of freedom and the actual linearization introduced by cancelling of higher order product terms of the degrees of freedom and their time derivatives. The origin of the matrices is explained and some of the most important algebraic manipulations are shown. Further, the complete description of the aerodynamic model is contained in this supplement. A procedure for time simulation of turbulence is part of the model. (au) (46 refs.).}

place = {Denmark}

year = {1990}

month = {Jul}

}

title = {Kinematically nonlinear finite element model of a horizontal axis wind turbine. Part 2. Supplement. Inertia matrices and aerodynamic model}

author = {Thirstrup Petersen, J}

abstractNote = {This supplement contains some of the most space-consuming inertia matrices derived for the mathematical model of a horizontal axis wind turbine. One is the general inertia matrix, from which the mass, Coriolis and softening matrices are derived. These matrices are coefficients to local substructure degrees of freedom. Other matrices are resulting from extraction of degrees of freedom from enertia vectors, which originate directly from the consistent transformation of the inertia load to the nodes of the beam finite element. These matrices are coefficients to degrees of freedom outside the local substructure. They depend on the actual choice of degrees of freedom and the actual linearization introduced by cancelling of higher order product terms of the degrees of freedom and their time derivatives. The origin of the matrices is explained and some of the most important algebraic manipulations are shown. Further, the complete description of the aerodynamic model is contained in this supplement. A procedure for time simulation of turbulence is part of the model. (au) (46 refs.).}

place = {Denmark}

year = {1990}

month = {Jul}

}