Aviation History Development of the Jet Engine
Individual Student Course Paper Criteria 50 Points
Conduct research on a topic in aviation history and write a six-page typed report. You must use and cite at least three different sources of information on the topic. The paper must describe a single theme and indicate what is historically significant about the topic. Organize in chronological order (if applicable). Answer who, what, when, where, and why. You will need a reference page with a minimum of three references. You can use one of the topics listed below or another topic approved by the instructor.
Possible research topics

• The Origins of Air Mail Service in the United States
• Chuck Yeager Breaking the Sound Barrier
• Spirit of St Louis & the Lindbergh Flight from New York to Paris The Tuskegee Airman
• Tokyo Raiders: Doolittle Raid
• The Space Shuttle Challenger accident
• The First Ladies of Flight
• The Story of Amelia Earhart
• The Rise and Fall of Pan American
• First Successful Helicopter Flight, Igor Sikorski
• The US/USSR race to the moon
• The development of the jet engine
  Checklist:
  ___ Minimum six pages (not including cover-title page/references) (-5 points for < 6 pages)
  ___ Double-spaced (5 points)
  ___ Three references/sources and cited (5 points) ___ Reference page (5 points)
  ___ Turn in dates:
  ____by 4 March (50 points max) ____after 4 March (40 points max) ____after 11 March (30 points max) ____after 18 March (20 points max)
  ____after 25 March (10 points max)

Applied Analytical Methods In Engineering MODELLING

1. Referring to Handout paper “Filtering properties…”

Consider Eq. (1) with

have the initial amplitude of the solution Eq. (5) to be

2. 2. A linear single-degree-of-freedom system with natural frequency and viscous damping factor   respectively is excited by a stationary zero-mean random force Y(t)  with a spectral density

where   are constants (here are respectively mean or expected excitation frequency and excitation bandwidth). Thus, the equation of motion may be written as

Find stationary mean square    of the steady-state system’s response using the spectral approach. You may use either direct numerical integration of the response PSD for the given data or rely upon available Table of the relevant integrals (which would require writing equation for shaping filter of Y(t) by expanding denominator of into two complex conjugated co-factors). Four different cases altogether:

The parameter may be

(arbitrarily) assumed to have value equal to unity.

Comment to Problem 2: for the case where  its analytical solution as obtained from the Table may be written as

The final expression clearly shows that approximate representation of a narrow-band excitation Y(t) by a sinusoid may be adequate – at least as long as just mean-square response is considered – but only if it is narrow-band compared with the system excited  (i.e.) For example, if Y(t) represent forcing due to ocean waves then is usually of the order 0.1 so that its approximation by a single harmonic may be inaccurate. Actually, the latter extreme case can be obtained directly from the general excitation/response PSDs relation by asymptotic approximation for transfer function being slowly varying compared with excitation PSD having a sharp peak at ; thus

1.  Referring to Handout “Intro Rot”. Whirl of a Jeffcott rotor with both external and internal damping is governed by two ODEs (6a) for transverse displacements X, Y of its disk (along nonrotating axes). This set is reproduced here as a set (*) with two extensions:

1. Added white-noise random excitation along X as applied through supports
2. Angular velocity of rotation (the fourth terms in each ODE) is renamed as ν to avoid confusion with ω which is argument of the PSDs. This imply renaming stability threshold (12) as

The updated set is

Denote constant PSD of the random force f _X(t) as 2πW. Use basic theorem relating PSDs of excitation and response to derive expression for sum of  PSDs of X(t) and Y(t) as functions of ν/ν_* Integration by table of this sum yield

Verify the solution (**) by numerical integration of the total PSD for

Hint: this basic theorem is considered in detail in Handout “FFT” for the case of single excitation/single response. Using the same approach as based on algebraic relations for the FTs with finite limits it can be easily extended to multiple excitation/responses. Solution for the case of two ODEs with random RHSs is presented in detail in Section 4 of the Handout “Noncons”

Comment. Availability of measurable subcritical response of any

dynamic system may be used with advantage for on-line Mechanical Signature Analysis. In Section 4 of the Handout “Noncons” the coherence function of two displacements has been indicated as a potential index for  stability margin on the system. In the present problem with only single external excitation available that index will not work – coherence should be always unity (implying permanent “false alarm”. Your solution to the present problem may provide alternative index – ratio of mean square responses <Y²>/<X²>  should be monotonously increasing with ν/ν_*from zero at ν/ν_* = 0 to unity at ν/ν_* = 1.

Sensors and Actuators Egineering

A Library Treasure Hunt: By consulting recent issues of at least two of the following
MEMS-oriented journals, locate articles that illustrate (a) MEMS accelerometers, (b)
MEMS biosensors, (c) MEMS Actuators. The journals are: IEEE/ASME Journal of
Microelectromechanical Systems, Journal of Micromechanics and Microengineering,
IEEE sensor journal, Sensors and Actuators, Sensors and Materials, Analytical
Chemistry, Biomedical Microdevices, and sensors. Give full citations of 2 articles for
each of the above topics. List the top 2 topics that are most interesting to you.

The Birthplace of Aviation

Please see the attached files below to follow the instructions.

The article that you will use for this bibliography is available from the link below.

The Birthplaces of Aviation, Air & Space Magazine, July 15, 2009 http://www.airspacemag.com/history-of-flight/The-Birthplaces-of-Aviation.html

Margins: 1” top, bottom, right, and left

Font: Times New Roman size 12 pt

Line Spacing: Double Spaced

Minimum Length: Five complete lines of text for both the

Abstract and Comment sections

Annotated bibliographies that do not meet all of the format criteria will receive 0 points.