Abstract

The ability to vary the geometry of a wing to adapt to different flight conditions can significantly improve the performance of an aircraft. However, the realization of any morphing concept will typically be accompanied by major challenges. Specifically, the geometrical constraints that are imposed by the shape of the wing and the magnitude of the air and inertia loads make the usage of conventional mechanisms inefficient for morphing applications. Such restrictions have served as inspirations for the design of a modular morphing concept, referred to as the Variable Geometry Wing-box (VGW). The design for the VGW is based on a novel class of reconfigurable robots referred to as Parallel Robots with Enhanced Stiffness (PRES) which are presented in this dissertation. The underlying feature of these robots is the efficient exploitation of redundancies in parallel manipulators. There have been three categories identified in the literature to classify redundancies in parallel manipulators: 1) actuation redundancy, 2) kinematic redundancy, and 3) sensor redundancy. A fourth category is introduced here, referred to as 4) static redundancy. The latter entails several advantages traditionally associated only with actuation redundancy, most significant of which is enhanced stiffness and static characteristics, without any form of actuation redundancy. Additionally, the PRES uses the available redundancies to 1) control more Degrees of Freedom (DOFs) than there are actuators in the system, that is, under-actuate, and 2) provide multiple degrees of fault tolerance. Although the majority of the presented work has been tailored to accommodate the VGW, it can be applied to any comparable system, where enhanced stiffness or static characteristics may be desired without actuation redundancy. In addition to the kinematic and the kinetostatic analyses of the PRES, which are developed and presented in this dissertation along with several case-studies, an optimal motion control algorithm for minimum energy actuation is proposed. Furthermore, the optimal configuration design for the VGW is studied. The optimal configuration design problem is posed in two parts: 1) the optimal limb configuration, and 2) the optimal topological configuration. The former seeks the optimal design of the kinematic joints and links, while the latter seeks the minimal compliance solution to their placement within the design space. In addition to the static and kinematic criteria required for reconfigurability, practical design considerations such as fail-safe requirements and design for minimal aeroelastic impact have been included as constraints in the optimization process. The effectiveness of the proposed design, analysis, and optimization is demonstrated through simulation and a multi-module reconfigurable prototype.

Highlights

  • Aircraft design represents a fine balance between performance, weight, and cost

  • First, the general kinematic and kinetostatic analyses of these robots will be presented with the underlying theme of wing morphing application

  • The local and global kinematic formulations of the Variable Geometry Wing-box (VGW) were presented in this chapter, along with a proposed under-actuated motion methodology, Under-actuation with Virtual Alternating Constraints (UVAC)

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Summary

Introduction

Aircraft design represents a fine balance between performance, weight, and cost. One could imagine the possibilities created with the freedom to generate different wing configurations, each suited for a particular flight condition or a segment of the mission profile, or used to control the aircraft. This is a goal as old as manned aviation itself. To realize the benefits of discrete shape changes engineers invented different means to partially mimic this natural phenomena of morphing Some of these included the addition of hinged surfaces such as ailerons, used for control, and high-lift devices such as slats and flaps to the wings. The less conventional approaches to change the shape of a wing during flight through planform and out-of-plane alterations as well as the shape of an airfoil are generally accepted as morphing

Motivation
Objectives
Variable Geometry Wing-box
Thesis Organization
Background and Literature Review
Morphing DOFs
Variable Sweep
Variable Span
Variable Twist
Variable Dihedral (Cant)
Airfoil Morphing
Morphing Skins
Actuation Concepts
VGTMs for Wing Morphing
Embedded Actuation
Reconfigurability
Manipulator Redundancy
Robot Design
Class Synthesis
Constrained Redundant Enhanced Enhanced
Architecture Design
Modularity in Design
Conclusion
Local Kinematics
Global Kinematics
Under-actuation2
Kinematic Constraints
Under-actuation with Virtual Alternating Constraints
UVAC for a P-2-2 PRES The planar mechanism depicted in
Joint Placement for Under-actuation
Local Stiffness (Module Level)
Local Statics
Global Stiffness (Wing Level)
Global Statics
Intrinsic Loads
Extrinsic Loads
Geometry Dependent Loading
Alternative Jacobian
Case Study
Optimal Limb Configuration
URnoctoautipolnesd
Optimal Topological Configuration
Symmetry
Optimization Formulation
Minimal Ground Topology (MGT)
Optimal Hyperstatic Topology (OHT)
Optimal Isostatic Topologies
Practical Realization
Rigidity Validation
Alternative Configuration
Control Implementation Scheme
Actuation Paths
Minimum Energy Actuation
Control Implementation
Variable Topology and Internal Loads
Simulation
Motion Control Validation
External Loads
MATLAB® Interface/Implementation
Concluding Remarks
Summary of Contributions
Future Work
Limb Element Formulation
Platform Element Formulation
Stiffness Matrix Assembly
Designing for Failure (Internal Uncertainties)
Functional Failures
Safety Failures
Designing for Uncertainty in Loading (External Uncertainties)
Passive Member Design
Sizing Guidelines
Findings
Full Text
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