Mathematical Model of a Wind Tunnel Model

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SUMMARY

The discussion focuses on constructing a mathematical model for a wind tunnel model of an aircraft that simulates rolling motion. The model features two small lifting surfaces mounted symmetrically on an axi-symmetric body, which is equipped with ball bearings for free rolling about the x-axis. The right lifting surface has an incidence of -3 degrees, while the left surface has +3 degrees, with wings measuring 5 cm in chord and 30 cm in span, made of aluminum. Participants are encouraged to formulate the roll moment as the disturbance and roll attitude as the output for this model.

PREREQUISITES
  • Understanding of aerodynamic principles, particularly rolling motion.
  • Familiarity with mathematical modeling techniques in aerodynamics.
  • Knowledge of basic physics, specifically moments and attitudes in rotational dynamics.
  • Experience with wind tunnel testing methodologies.
NEXT STEPS
  • Research the derivation of roll moment equations in aerodynamic models.
  • Study the effects of incidence angles on lift generation in small wings.
  • Explore the use of ball bearings in reducing friction in aerodynamic models.
  • Learn about the principles of modeling dynamic systems in control theory.
USEFUL FOR

Aerospace engineers, students in aerodynamics, and researchers developing wind tunnel models will benefit from this discussion.

hellraiser
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A wind tunnel model of an aircraft, representing only the rolling motion, is
constructed using two small lifting surfaces mounted in the horizontal (i.e. x –
y) plane symmetrically on an axi-symmetric body. The body houses a set of ball
bearings, which permit the complete model to roll about x – axis freely. Further,
the right lifting surface (pointing towards positive y axis) is given an initial
incidence of -3o with respect of the longitudinal axis of the body and similarly,
the left lifting surface (pointing towards negative y axis) is given an initial
incidence of +3o with respect of the longitudinal axis of the body. The wings
have 5 cm chord, 30 cm span (for each half part) and are made of Aluminium.

Generate the mathematical model of the above wind tunnel model in terms of
the roll moment as the disturbance and roll attitude as the output from the
system.
 
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This looks like a homework problem.

Stick it in the HW section and if you need help completing it, then, as the forum guidlines state, you should supply your attempts at the problem, not just the question. We're not a tutorial answering service, but we are willing to help :wink:
 

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