Intro
Preface
Contents
About the Editors
Numerical Investigation of an Unmanned Aircraft Vehicle (UAV) Using Fluid-Structure Interaction
1 Introduction
2 Methodology
2.1 Fluid Simulation Using CFD
2.2 Structural Analysis
2.3 Analytical Analysis
3 Results and Discussions
3.1 Flow Simulation
3.2 Structural Analysis
4 Conclusion
References
A Vision Guided Robot for Gluing Operations
1 Introduction
2 Prototype Description
3 Calibration Procedure
4 Robot Planning Trajectory
5 Experimental Results
6 Conclusion
References

Mechanical Modelling of Cylindrical Rings Versus Hollow Spheres Under Impact Loadings
1 Introduction
2 FE Analysis
2.1 Numerical Analysis
2.2 Numerical Procedure for Ring Simulation
2.3 Numerical Procedure for Hollow Sphere Simulation
3 Results
3.1 Ring Model
3.2 Hollow Spheres Model
3.3 Rings Versus Spheres Comparisons
4 Discussion
4.1 Rings Modes of Deformation and Comparisons
4.2 Hollow Spheres Mode of Deformation
4.3 Rings Versus Spheres Comparisons
5 Conclusion and Future Work
References

Investigation of Anterior Cruciate Ligament of the Knee with Relevance to Surgical Reconstruction-A Planar Mathematical Analysis
1 Introduction
2 Methods
2.1 Kinematics of the Knee During Flexion
2.2 Simulated Anterior Laxity Test
2.3 Distribution of Forces in Different Areas of the Ligament Attachments
3 Results and Analysis
3.1 Simulated Anterior Laxity Test
3.2 Distribution of Forces in Anterior and Posterior Bundles of the ACL
4 Conclusions and Future Work
5 Clinical Relevance
References
Mathematics in Motion: A Model for the Ma Lin Ghost Serve

1 Introduction
2 The Mathematical Model
2.1 Phase AB
2.2 Phase B
2.3 Phase BC
2.4 Phase C
2.5 Phase F
3 Results and Calculations
3.1 Phase AB
3.2 Phase B
3.3 Analysis of the Airborne Phases
3.4 Consideration of Terminal Velocity
3.5 Ball-Board Contact Analysis
4 Results
5 Discussion
6 Conclusion
References
Localization in Symplectic Geometry and Application to Path Integral and Supersymmetry
1 Introduction
2 Motivations, Simple Examples: Quantization Problem of Feynman
2.1 Toy Model
2.2 Path Integral

3 Equivariant Cohomology, and Localization
3.1 Equivariant Differential Forms
3.2 Equivariant Cohomology
3.3 Localization Formula in Equivariant Geometry
3.4 Localization Formula in Symplectic Geometry
4 Become to Physic: Path Integral, Supersymmetry
4.1 Classical Fields
4.2 Example of Classical Fields
4.3 Noether Symmetries
4.4 Quantum Fields, QFT
4.5 Supersymmetry
5 Localization in Physics
5.1 Example 1: Zero-Dimensional Supersymmetry
5.2 Exemple 2: Supersymmetric Quantum Mechanic (one Dimensional TQFT