A Modelica Library of Anisotropic Flexible Beam Structures for the Simulation of Composite Rotor Blades

Christian Spieß
Technische Universität München, Institute for Helicopter Technology, Garching, Germany

Manfred Hajek
Technische Universität München, Institute for Helicopter Technology, Garching, Germany

Ladda ner artikelhttp://dx.doi.org/10.3384/ecp12076417

Ingår i: Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Linköping Electronic Conference Proceedings 76:43, s. 417-424

Visa mer +

Publicerad: 2012-11-19

ISBN: 978-91-7519-826-2

ISSN: 1650-3686 (tryckt), 1650-3740 (online)


Beam theories are extensively used for simulation of helicopter rotor blades. The predominant deployment of composite materials in rotor blade development demands for complex theories that are able to describe the elastic behavior of anisotropic and nonhomogeneous materials. In this paper a Modelica library is presented which is capable of simulating extensional; torsional and flexural deformation and the couplings between those degrees of freedom. The structural dynamic model is based on cross-sectional analysis.


flexible structures; rotating beams; helicopter rotor design; cross-sectional analysis


[1] CESNIK; C. E. S. and D. H. HODGES: Variational-Asymptotical Analysis of Initially Curved and Twisted Composite Beams. Applied Mechanics Review; 46(11); 1993.

[2] DOWELL; E. H.; J. TRAYBAR and D. H. HODGES: An experimental study of the nonlinear stiffness of a rotor blade undergoing flap; lag and twist deformations. NASA; 1975.

[3] DOWELL; E. H.; J. TRAYBAR and D. H. HODGES: An experimental-theoretical correlation study of non-linear bending and torsion deformations of a cantilever beam. Journal of Sound and Vibration; 50(4):533–544; 1977. doi: 10.1016/0022-460X(77)90501-6.

[4] FRIEDMANN; P.P; B. GLAZ and R. PALACIOS: A moderate deflection composite helicopter rotor blade model with an improved cross-sectional analysis. International Journal of Solids and Structures; 46(10):2186–2200; 2008. doi: 10.1016/j.ijsolstr.2008.09.017.

[5] GIAVOTTO; V. and M. BORRI: Anisotropic Beam Theory and Applications. Computers and Structures; 16(1-4); 1983. doi: 10.1016/0045-7949(83)90179-7.

[6] HODGES; D. H.: Nonlinear composite beam theory. American Institute of Aeronautics and Astronautics; 2006. doi: 10.2514/4.866821.

[7] JOHNSON; W.: CAMRAD II; Comprehensive Analytical Model of Rotorcraft Aerodynamics and Dynamics; 1992-1997.

[8] JOHNSON; W.: Rotorcraft dynamics models for a comprehensive analysis. 1998.

[9] SPIESS; C.: Entwicklung eines anisotropen Strukturdynamikmodells zur Simulation von elastischen Rotorblättern. Diploma Thesis; Technische Universität München; Garching; 2011.

[10] WASHIZU; K.: Variational methods in elasticity and plasticity. Pergamon press Oxford; UK; 1975.

Citeringar i Crossref