Politecnico di Milano

Dipartimento di Ingegneria Aerospaziale

Aerospace Engineering Dept.

 

 

Lorenzo Trainelli’s research

Meccanica del volo

Flight mechanics

 

 

Contents:

l Simplified framework for airplane trim and stability

 

l [more to come…]

 

 

Simplified framework for airplane trim and stability

 

Traditional basic flight mechanics courses approach the subject of trim and stability in a somewhat involved way, tracing back from a preliminary design approach.

The typical learning path consists of a step-by-step process from the airfoil, to the isolated wing, to the wing-body, ending with the ‘complete’ airplane.

Correspondingly, the formulae – although mathematically simple – gradually get considerably unattractive and uneasy to remember, being `cluttered' by a remarkable amount of quantities that describe specific details of the assumed airplane model.

 

A considerable simplification can be achieved by stating the general aerodynamic constitutive laws pertaining to the relevant flight conditions (stick-fixed steady level flight, stick-free steady level flight, steady maneuvering flight, etc.), under the customary assumptions of linear, low subsonic, steady-state aerodynamics.

From the investigation of the constitutive laws, appropriate characteristic points are introduced: the first is the well known neutral point, while the second is termed the control point (the latter, for a traditionally tailed design, is located close to the aerodynamic center of the tailplane).

We end up with the reduction of the complex system of aerodynamic forces acting on the airplane to an equivalent one consisting in only two applied forces: the first, termed the attitude lift, depends on the angle of attack only, while the second, termed the control lift, depends on the elevator deflection only.

As a consequence, basic considerations of trim and stability are easily carried out by simple, intuitive reasoning upon a simplified force diagram.

I contributed in this work originated by prof. M. Borri.

This methodology is detailed in the following works:

 

M. Borri, L. Trainelli

Airplane Equilibrium and Stability: A Simplified Teaching Approach

XVII Congresso Nazionale AIDAA, Roma, Italy, September 15-19, 2003.

* Download: Extended abstract

 

M. Borri, L. Trainelli

A Simple Framework for the Study of Airplane Trim and Stability

AIAA paper no. 2003-5620, AIAA Atmospheric Flight Mechanics Conference and Exhibit, Austin, TX, USA, Aug 11-14, 2003.

* Download: PDF preprint

 

 

 

 

Last updated 19/09/2006.