Modeling rotorcraft dynamics with finite element multibody procedures

This paper describes a multibody dynamics approach to the modeling of rotorcraft systems and reviews the key aspects of the simulation procedure. The multibody dynamics analysis is cast within the framework of nonlinear finite element methods, and the element library includes rigid and deformable bodies as well as joint elements. No modal reduction is performed for the modeling of flexible bodies. The structural and joint element library is briefly described. The algorithms used to integrate the resulting equations of motion with maximum efficiency and robustness are discussed. Various solution procedures, static, dynamic, stability, and trim analyses, are presented. Postprocessing and visualization issues are also addressed. Finally, the paper concludes with selected rotorcraft applications.

[1]  C. W. Acree,et al.  Determining XV-15 aeroelastic modes from flight data with frequency-domain methods , 1993 .

[2]  Olivier A. Bauchau,et al.  Simulation of Wheels in Nonlinear, Flexible Multibody Systems , 2002 .

[3]  E. Hairer,et al.  Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .

[4]  Olivier A. Bauchau,et al.  On the Modeling of Friction and Rolling in Flexible Multi-Body Systems , 1999 .

[5]  Olivier A. Bauchau,et al.  An Implicit Floquet Analysis for Rotorcraft Stability Evaluation , 1998 .

[6]  Olivier A. Bauchau,et al.  Contact conditions for cylindrical, prismatic, and screw joints in flexible multi-body systems , 2000 .

[7]  Carlo L. Bottasso,et al.  Integrating Finite Rotations , 1998 .

[8]  Jorge Angeles,et al.  Spatial kinematic chains , 1982 .

[9]  O. Bauchau,et al.  Energy decaying scheme for nonlinear elastic multi-body systems , 1996 .

[10]  Olivier A. Bauchau,et al.  Robust integration schemes for flexible multibody systems , 2003 .

[11]  Olivier A. Bauchau,et al.  Aeroelastic Analysis of Rotor Blades Using Nonlinear Fluid/Structure Coupling , 1997 .

[12]  J. Ahmad,et al.  Advanced CFD and CSD methods for multidisciplinary applications in rotorcraft problems , 1996 .

[13]  Olivier A. Bauchau,et al.  Computational schemes for nonlinear elasto-dynamics , 2000 .

[14]  Olivier A. Bauchau,et al.  Dynamic analysis of bearingless tail rotor blades based on nonlinear shell models , 1994 .

[15]  Olivier A. Bauchau,et al.  Dynamic Analysis of Rotor Flexbeams Based on Nonlinear Anisotropic Shell Models , 1993 .

[16]  Olivier A. Bauchau,et al.  Energy decaying scheme for non-linear beam models , 1996 .

[17]  K. Bartie,et al.  Hover performance tests of baseline metal and Advanced Technology Blade (ATB) rotor systems for the XV-15 tilt rotor aircraft , 1986 .

[18]  Olivier A. Bauchau,et al.  On the Modeling of Prismatic Joints in Flexible Multi-Body Systems ⁄ , 2000 .

[19]  M. Borri,et al.  Anisotropic beam theory and applications , 1983 .

[20]  Carlos E. S. Cesnik,et al.  VABS: A New Concept for Composite Rotor Blade Cross-Sectional Modeling , 1995 .

[21]  Parviz E. Nikravesh,et al.  Computer-aided analysis of mechanical systems , 1988 .

[22]  Carlo L. Bottasso,et al.  Energy preserving/decaying schemes for non-linear beam dynamics using the helicoidal approximation , 1997 .

[23]  V. Sutyrin,et al.  Derivation of Plate Theory Accounting Asymptotically Correct Shear Deformation , 1997 .

[24]  Werner Schiehlen,et al.  Multibody System Dynamics: Roots and Perspectives , 1997 .

[25]  Earl H. Dowell,et al.  Nonlinear equations of motion for the elastic bending and torsion of twisted nonuniform rotor blades , 1974 .

[26]  E. A. Fradenburgh,et al.  Advancing Tiltrotor State-of-the-Art With Variable Diameter Rotors , 1992 .

[27]  John C. Houbolt,et al.  Differential equations of motion for combined flapwise bending, chordwise bending, and torsion of twisted nonuniform rotor blades , 1957 .

[28]  O. Bauchau,et al.  Computational schemes for non-linear elasto-dynamics , 1999 .

[29]  M. Borri,et al.  A large displacement formulation for anisotropic beam analysis , 1986 .

[30]  Carlo L. Bottasso,et al.  A Novel Momentum-Preserving Energy-Decaying Algorithm for Finite Element Multibody Procedures , 2000 .

[31]  David A. Peters,et al.  A general theory of rotorcraft trim , 1995 .

[32]  O. Bauchau,et al.  On the design of energy preserving and decaying schemes for flexible, nonlinear multi-body systems , 1999 .

[33]  Ahmed A. Shabana,et al.  Flexible Multibody Dynamics: Review of Past and Recent Developments , 1997 .

[34]  Clifford T. Gunsallus,et al.  K747 Composite Main Rotor Blade Modification, Analysis and Qualification for New High Temperature Requirements , 1985 .

[35]  R. G. Loewy,et al.  Helicopter Ground/Air Resonance Including Rotor Shaft Flexibility and Control Coupling , 1989 .

[36]  Olivier A. Bauchau,et al.  On The Choice of Appropriate Bases for Nonlinear Dynamic Modal Analysis , 1993 .

[37]  Dewey H. Hodges,et al.  Review of composite rotor blade modeling , 1990 .

[38]  David A. Peters,et al.  Finite state induced flow models. II - Three-dimensional rotor disk , 1995 .

[39]  Farid M. L. Amirouche,et al.  Computational Methods in Multibody Dynamics , 1992 .

[40]  M. Borri,et al.  Integration of elastic multibody systems by invariant conserving/dissipating algorithms. II. Numerical schemes and applications , 2001 .

[41]  Olivier A. Bauchau,et al.  Contact Conditions for Cylindrical, Prismatic, and Screw Joints in Flexible Multibody Systems , 2001 .

[42]  Olivier A. Bauchau,et al.  An Implicit Transition Matrix Approach to Stability Analysis of Flexible Multi-Body Systems , 2001 .

[43]  Olivier A. Bauchau,et al.  Analysis of Nonlinear Multibody Systems with Elastic Couplings , 1999 .

[44]  David A. Peters,et al.  Flap-Lag Stability of Helicopter Rotor Blades in Forward Flight , 1975 .

[45]  V. Berdichevskiĭ On the energy of an elastic rod , 1981 .

[46]  Olivier A. Bauchau,et al.  Analysis of Flexible Multibody Systems with Intermittent Contacts , 2000 .

[47]  O. Bauchau Computational Schemes for Flexible, Nonlinear Multi-Body Systems , 1998 .