학위논문 (박사)-- 서울대학교 대학원 : 기계항공공학부, 2017. 2. 신상준. ; Recent advance in the MAVs having biomimetic wing, i.e., flapping wing MAVs, has led to greater attention being paid to the interaction between the structural dynamics of the wing and its aerodynamics, both of which are closely related to the performance of the wing. In this dissertation, co-rotational (CR) finite elements for geometrically nonlinear structural analysis are developed. Specifically, planar elements including two-dimensional beam and membrane elements, three-dimensional beam and shell elements, obeying the kinematics based on the CR formulation, are developed. Multi-components approach using three-dimensional beam and shell elements is then developed in order to consider a realistic insect-like flexible wing. In this procedure, both serial version using globalized Lagrange multiplier and parallel version employing domain decomposition technique, i.e., FETI-local method, are implemented. Each structural analysis is validated by comparing with the analytical solutions and the predictions obtained by the commercial software in the static and time-transient problems. The present multi-components analysis is then verified by comparing with the results predicted by the existing multi-body dynamics software, DYMORE, and the relevant computational costs are compared. Using the present structural analysis, fluid-structure interaction framework is developed. In the present FSI framework, the relevant CFD solutions and the implicit coupling methodology are employed. Moreover, the FSI analysis for both two-dimensional and three-dimensional problems are validated by comparing with the experimental results. Finally, the FSI analysis for three-dimensional realistic insect-like wing configuration is accomplished. During these numerical investigation, various physical characteristics induced by the biomimetic flexible wing are demonstrated. ; Chapter 1 Introduction 1 1.1 Background 1 1.1.1 Aerodynamics in Biomimetic Wing 4 1.1.2 Structural Dynamics in Biomimetic Wing 5 1.2 Literature Review 8 1.2.1 Review of the Experimental Studies regarding the Biomimetic Wing 9 1.2.2 Review of Computational Studies regarding Biomimetic Wing 14 1.3 Aims and Scope 21 1.4 Outline of Dissertation 24 Chapter 2 Geometrically Nonlinear Finite Elements Based on Co-rotational Formulation 27 2.1 Elemental Kinematics in Co-rotational Formulation 28 2.1.1 Consistent Framework in the CR formulation 30 2.2 Two-dimensional Finite Elements 32 2.2.1 Two-node Planar Beam Element 33 2.2.2 Planar Membrane Element 38 2.3 Parameterization of the Finite Three-dimensional Rotations 43 2.4 Three-dimensional Beam Formulation 45 2.4.1 Co-rotational Three-dimensional Beam Element 46 2.4.2 Local Beam Formulation 54 2.5 Shell Element Formulation 56 2.5.1 Co-rotational Shell Element 57 2.5.2 Local Shell Element: OPT-DKT 63 2.6 Governing Equation for Time-transient Analysis 65 Chapter 3 Multi-component Approach for Biomimetic Flexible Wing 69 3.1 Serial Approach with Globalized Lagrange Multiplier 69 3.2 Domain Decomposition Approach with Localized Lagrange Multiplier: FETI-Local Method 71 3.2.1 FETI-Local Method 75 3.2.2 Parallel Computational Algorithm of FETI-Local Method for Nonlinear Problem 80 Chapter 4 Fluid-Structure Interaction Framework 83 4.1 Two-dimensional Computational Fluid Dynamics Model 83 4.1.1 Deformation of Grid: Delaunay Graph Mapping 84 4.2 Three-dimensional Computational Fluid Dynamics Model 85 4.2.1 Geometric Conservation Law 86 4.2.2 Deformation of Grid: Radial Basis Function (RBF) Interpolation 86 4.3 FSI Coupling Methodology 88 4.3.1 General Description for FSI Coupling Methodologies 88 4.3.2 Coupling Methodology for Biomimetic Wing: Implicit Coupling 91 Chapter 5 Numerical Investigation on Structural Analyses 93 5.1 Validation in Static Condition 93 5.1.1 Cantilevered Plate under Tip Load (Planar/3D-Beam/3D-Shell) 93 5.1.2 Rolled up of Cantilevered Beam (Planar/3D-Beam/3D-Shell) 96 5.1.3 Box-girder Bridge Subjected to Torque (3D-Beam) 99 5.1.4 Pinched Semi-cylindrical Shell (3D-Shell) 101 5.2 Validation of Time-transient Analysis 103 5.2.1 Cantilevered Beam under Tip Harmonic Load (Planar/3D-Beam/3D-Shell) 103 5.2.2 Cantilevered Plate under Plunging Motion (Planar/3D-Beam/3D-Shell) 105 5.3 Time-transient Analysis of a Beam/Shell Assemblage 107 Chapter 6 Application for a Two-dimensional Foil under Prescribed In-plane Plunging Motion 111 6.1 Description of the Experiment 111 6.2 Verification using Experimental Results 113 6.3 Numerical Investigation of the Foil under Passive Planar Rotation 117 6.3.1 Geometry and Kinematics for a Flapping Wing MAV 118 6.3.2 Influence of the Passive Planar Rotation 121 Chapter 7 Application for a Three-dimensional Rectangular Wing 127 7.1 Description of the Experiment 127 7.2 Verification using Experimental Results 130 7.3 Numerical Investigation of the Wing under Simultaneous Pitching/Plunging Motion 136 7.4 Numerical Investigation of the Wing under Passive Pitching Motion 146 7.4.1 Verification of Spring Joint in the Rectangular Wing 147 7.4.2 Influence of the Passive Pitching Motion 150 Chapter 8 Application for a Realistic Insect-like Wing (Zimmerman Planform) 163 8.1 Description of the Experiment 163 8.2 Verification of Structural Analysis using Experimental Results 167 8.3 Verification of FSI Analysis using Experimental Results 172 8.4 Numerical Investigation regarding the Influence of Anisotropic Wing Structure 179 Chapter 9 Conclusion 191 9.1 Summary 191 9.2 Contributions of present work 194 9.3 Future Works 198 Appendix A Computational Efficiency Test of the Present Parallel Analysis 201 A.1 Computational Efficiency for Nonlinear Problem 201 A.2 Application for Nonlinear Flexible Multi-body Dynamics 203 Appendix B Further Investigation regarding the Heathcotes Experiment 205 B.1 Analysis Set-up for Further Investigation 206 B.2 Numerical Results 208 Appendix C Modelling Approach for Six-degrees-of-freedom Spring Joint 215 References 217 Abstract (Korean) 237 ; Doctor
Development of Co-rotational Finite Elements and Application for Fluid-Structure Interaction in Biomimetic Flexible Wing
2017-01-01
Theses
Electronic Resource
English
DDC: | 629 |
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