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Evolutionary Shape Optimization of Flexbeam Sections of a Bearingless Helicopter Rotor

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초록

The shape optimization of composite flexbeam sections of a bearingless helicopter rotor is studied usinga finite element (FE) sectional analysis integrated with an efficient evolutionary optimization algorithm called particleswarm assisted genetic algorithm (PSGA). The sectional optimization framework is developed by automating theprocesses for geometry and mesh generation, and the sectional analysis to compute the elastic and inertial properties. Several section shapes are explored, modeled using quadratic B-splines with control points as design variables, througha multiobjective design optimization aiming minimum torsional stiffness, lag bending stiffness, and sectional masswhile maximizing the critical strength ratio. The constraints are imposed on the mass, stiffnesses, and critical strengthratio corresponding to multiple design load cases. The optimal results reveal a simpler and better feasible section withdouble-H shape compared to the triple-H shape of the baseline where reductions of 9.46%, 67.44% and 30% each arereported in torsional stiffness, lag bending stiffness, and sectional mass, respectively, with critical strength ratio greaterthan 1.5.

Abstract

The shape optimization of composite flexbeam sections of a bearingless helicopter rotor is studied usinga finite element (FE) sectional analysis integrated with an efficient evolutionary optimization algorithm called particleswarm assisted genetic algorithm (PSGA). The sectional optimization framework is developed by automating theprocesses for geometry and mesh generation, and the sectional analysis to compute the elastic and inertial properties. Several section shapes are explored, modeled using quadratic B-splines with control points as design variables, througha multiobjective design optimization aiming minimum torsional stiffness, lag bending stiffness, and sectional masswhile maximizing the critical strength ratio. The constraints are imposed on the mass, stiffnesses, and critical strengthratio corresponding to multiple design load cases. The optimal results reveal a simpler and better feasible section withdouble-H shape compared to the triple-H shape of the baseline where reductions of 9.46%, 67.44% and 30% each arereported in torsional stiffness, lag bending stiffness, and sectional mass, respectively, with critical strength ratio greaterthan 1.5.

참고문헌 (13)

  1. Jang, J, "Ground and Air Resonance of an Advanced Bearingless Rotor in Hover", Journal of the American Helicopter Society, 33(3), pp.20~29 (1988)
  2. Huber, H, "Will Rotor Hubs Lose Their Bearings? A Survey of Bearingless Main Rotor Development", Proceedings of the 18th European Rotorcraft Forum (1992)
  3. Ganguli, R, "Aeroelastic Optimization of a Helicopter Rotor with Composite Coupling", Journal of Aircraft, 32(6), pp.1326~1334 (1995)
  4. Kathiravan, R, "Strength Design of Composite Beam Using Gradient and Particle Swarm Optimization", Composite Structures, 81(4), pp.471~479 (2007)
  5. Li, L, "Cross-sectional Design of Composite Rotor Blades", Journal of the American Helicopter Society, 53(3), pp.240~251 (2008)
  6. Blasques, J.P, "Maximum Stiffness and Minimum Weight Optimization of Laminated Composite Beams Using Continuous Fiber Angles", Structural and Multidisciplinary Optimization, 43(4), pp.573~588 (2011)
  7. Kim, T. S, "Multiobjective Topology Optimization of a Beam under Torsion and Distortion", AIAA Journal, 40(2), pp.376~381 (2002)
  8. Blasques, J.P, "Multi-material Topology Optimization of Laminated Composite Beam Cross-sections", Composite Structures, 94(11), pp.3278~3289 (2012)
  9. Dhadwal, M.K, "Advanced Particle Swarm Assisted Genetic Algorithm for Constrained Optimization Problems", Computational Optimization and Applications, 58(3), pp.781~806 (2014)
  10. Dhadwal, M. K, "General Purpose Cross-sectional Analysis Program for Nonhomogeneous Anisotropic Beams", Proceedings of the Korean Society of Aeronautical and Space Sciences (KSAS) Spring Conference (2014)
  11. "Patran 2012 Reference Manual" (2012)[URL]
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  13. Kollar, L.P, "Mechanics of Composite Structures" (2003), Cambridge University Press

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