4.2.4.7. References

BC80

K. J. Bathe and A. P. Cimento. Some practical procedures for the solution of nonlinear finite element equations. Computer Methods in Applied Mechanics and Engineering, 22:59–85, 1980. http://web.mit.edu/kjb/www/Publications_Prior_to_1998/Some_Practical_Procedures_for_the_Solution_of_Nonlinear_Finite_Element_Equations.pdf. doi:10.1016/0045-7825(80)90051-1.

Bau10

O. A. Bauchau. Flexible Multibody Dynamics. Springer, 2010. doi:10.1007/978-94-007-0335-3.

BEH08

O.A. Bauchau, A. Epple, and S.D. Heo. Interpolation of finite rotations in flexible multibody dynamics simulations. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 222:353–366, 2008.

CH93

J. Chung and G. M. Hulbert. A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-α method. Journal of Applied Mechanics, 60:371–375, 1993. doi:10.1115/1.2900803.

GSJ13

A. Gasmi, M.A. Sprague, and J.M. Jonkman. Numerical stability and accuracy of temporally coupled multi physics modules in wind-turbine cae tools. In Proceedings of the 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. Grapevine, Texas, January 2013.

Hod06

Dewey H. Hodges. Nonlinear Composite Beam Theory. AIAA, 2006.

JelenicC99

G. Jelenić and M. A. Crisfield. Geometrically exact 3d beam theory: implementation of a strain-invariant finite element for statics and dynamics. Computer Methods in Applied Mechanics and Engineering, 171:141–171, 1999.

Jon13

J.M. Jonkman. The new modularization framework for the fast wind turbine cae tool. In Proceedings of the 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. Grapevine, Texas, January 2013.

JJ13

Jason Jonkman and Bonnie Jonkman. Fast v8. https://nwtc.nrel.gov/FAST8, October 2013. [Online; accessed 29-OCTOBER-2014].

Pat84

A. T. Patera. A spectral element method for fluid dynamics: laminar flow in a channel expansion. Journal of Computational Physics, 54:468–488, 1984.

RP87

E. M. Ronquist and A. T. Patera. A legendre spectral element method for the stefan problem. International Journal for Numerical Methods in Engineering, 24:2273–2299, 1987.

SG03

M. A. Sprague and T. L. Geers. Spectral elements and field separation for an acoustic fluid subject to cavitation. Journal of Computational Physics, 184:149–162, 2003.

SG04

M. A. Sprague and T. L. Geers. A spectral-element method for modeling cavitation in transient fluid-structure interaction. International Journal for Numerical Methods in Engineering, 60:2467–2499, 2004.

SJJ14

M.A. Sprague, J.M. Jonkman, and B.J. Jonkman. Fast modular wind turbine cae tool: non matching spatial and temporal meshes. In Proceedings of the 32nd ASME Wind Energy Symposium. National Harbor, Maryland, January 2014.

WJSJ15

Q. Wang, N. Johnson, M.A. Sprague, and J. Jonkman. Beamdyn: a high-fidelity wind turbine blade solver in the fast modular framework. In Proceedings of the 33rd ASME Wind Energy Symposium. Kissimmee, Florida, January 2015. https://www.nrel.gov/docs/fy15osti/63165.pdf.

WS13

Q. Wang and M.A. Sprague. A legendre spectral finite element implementation of geometrically exact beam theory. In Proceedings of the 54th Structures, Structural Dynamics, and Materials Conference. Boston, Massachusetts, April 2013.

WSJJ14

Q. Wang, M.A. Sprague, J. Jonkman, and N. Johnson. Nonlinear legendre spectral finite elements for wind turbine blade dynamics. In Proceedings of the 32nd ASME Wind Energy Symposium. National Harbor, Maryland, January 2014.

WSJJ16

Q. Wang, M.A. Sprague, J. Jonkman, and B. Jonkman. Partitioned nonlinear structural analysis of wind turbines using beamdyn. In Proceedings of the 34th ASME Wind Energy Symposium. San Diego, California, January 2016.

WYS13

Q. Wang, W. Yu, and M.A. Sprague. Gemoetrically nonlinear analysis of composite beams using wiener-milenković parameters. In Proceedings of the 54th Structures, Structural Dynamics, and Materials Conference. Boston, Massachusetts, April 2013.