ENAE 488J - Helicopter Theory

Senior level aerospace elective. The objectives of this course are to provide an introductory treatment of the aerodynamic theory of helicopters. including basic performance, control, and basic rotor dynamics. Prerequisites are a understanding of elementary aerodynamics and dynamics.

Instructor:

Dr. J. Gordon Leishman, Room 3179C,

Assessment method:

  1. Homework (1/4)
  2. Mid-term exam(1/4)
  3. Technical Essay (1/4)
  4. Final Exam (1/4).

Homework is assigned about every other week (due for submission 1-week after it is assigned). Submission of homework is mandatory. Homework is expected to be done properly and neatly and submitted on-time. Homework that does not meet the required standard will be returned and must be resubmitted. The Technical Essay will be due about the 12th week of class. The essay can be on any subject related to rotorcraft technology.

Textbooks:

A set of printed class notes will be distributed to students. In addition, there are several textbooks that will be used for this course. The classic text on the subject is: Aerodynamics of the Helicopter by Gessow and Myers. Although the nomenclature is a little out of date, this text provides a solid coverage of the basic material. The main secondary text will be Helicopter Theory by Johnson. This is the definitive reference for modern helicopter analyses. An inexpensive Dover publication of this test is now available. Other useful texts are: Rotary Wing Aerodynamics by Stepniewski and Keys, Helicopter Performance, Stability and Control by Prouty, and The Foundations of Helicopter Flight by Newman. The latter text is very modern and provides excellent coverage for an introductory course.

Course outline (not necessarily covered in order stated):

  1. An Introduction to Rotary Wing Aircraft

    Some history

    The difficulties in attaining vertical flight

    Rotorcraft configurations

    Helicopter design features

    Basic flight characteristics of the helicopter

    Differences between propellers and rotors

    Notation

  2. An Introduction to Hovering Theory

    Momentum considerations

    Actuator disk

    Rotor thrust and power

    Rotor figure of merit (FM)

    Blade element considerations

    Effect of profile drag on FM

    Complexity of the real rotor wake

  3. Hovering and Axial Flight Performance

    Momentum theory for climb

    Momentum theory for descent

    Flow states of the rotor

    Combined blade element/momentum theory

    Ideally twisted blades

    Weighted solidity

    Numerical computation of rotor performance

    Comparison with measured performance

    Tip loss effects

  4. Factors Affecting Hovering and Vertical Flight Performance

    Effects of blade twist and taper

    Optimum hovering rotor

    Effects of climb on induced power

    Ground effect

  5. Autorotation in Vertical Descent

    Energy balance in autorotation

    Forces on the blade element in autorotation

    Autorotation diagram

    Most efficient angle of attack for autorotation

    Rotor drag in vertical descent

  6. Concepts of Blade Motion and Control

    Equilibrium of hinged blades

    Blade flapping and blade motion

    Coriolis effects

    Rotor types

    Control of a hinged rotor in hover

  7. Aerodynamics of Forward Flight

    Rotor angle of attack

    Rotor induced velocity

    Blade element angle of attack

    Control of a hinged rotor in forward flight

    Calculation of flapping coefficients

  8. Forward Flight Performance

    Basic performance equation

    Climb performance

    Range and endurance

    Optimum speeds

    Maximum level speed

    Rotor operating envelope