Aeroelasticity

stacjonarne

I stopnia

obowiązkowy

W 14/+ ; ć 16/+ ; Total: 30

Pass with grade

Mathematics I: basic concepts and theorems of mathematics, particularly algebra with analytical geometry, elementary calculus skills with a range of knowledge including: real numbers; elementary functions; complex numbers; matrices, determinants, systems of linear algebraic equations, vector spaces; lines, planes and surfaces of second degree in three-dimensional space.

Mathematics II: basic concepts and theorems of mathematics, particularly mathematical analysis, elementary calculus skills with a range of knowledge including: real numbers, number sequences and number series; differential and integral calculus of functions of one real variable and ordinary differential equations.

Mathematics III: basic concepts and theorems of mathematics, particularly mathematical analysis, elementary calculus skills including: differential and integral calculus of real functions of many variables; vector analysis; calculus of probability and elements of mathematical statistics.

Engineering Mechanics: Statics includes the concepts and principles of statics, reduction of force systems and equilibrium conditions, laws of friction and the calculation of centres of gravity. Strength of materials includes the basic concepts of strength of materials, tension, compression, bending, torsion and buckling, characterisation of multidimensional stress states, deflection calculations of beams and plane trusses. Kinematics includes the basic concepts and terms of kinematics, point kinematics, rigid body motion, compound point motion, plane motion, and spherical rigid body motion. Dynamics includes the basic concepts and definitions of dynamics, dynamics of a point and system of material points, dynamics of rotary motion and motion of a plane rigid body. Elements of analytical mechanics includes de-scription of the dynamics model of a real object and definitions of special deformable elements with linear properties. An extended classification of bonds, definitions of the general equation of dynamics and Lagrange's equation.

Aerodynamics: knowledge of the parameters characterizing the flow of the medium, knowledge of the concept of circulation and the mechanism of creation of aerodynamic forces on the flowing airfoil, knowledge of the theory of airfoil aerodynamics, distinguishing what the phenomenon of aerodynamic interference is, ability to characterize the types of flows due to the local Ma number, distinguishing stationary and unstationary flow .

Strength of Materials and Structures: Experimental basis for the determination of mechanical properties of materials. Calculation of tensile and compressive strength of rods. Moments of inertia of plane figures. Internal forces in rods. Bending of a straight bar. Axis of deflection of a straight bar. Statically indeterminate bending beams. Stress state theory. Strain state theory. Relationships between defor-mation state and stress state. Stress hypotheses. Torsion of bars. Compound action of internal forces in simple rods. General energy theorems and their application. Curved rods. Stability of rods. Fun-damentals of stress analysis, free torsion of rods of any cross-sec-tion. Non-free deformation of thin-walled rods of open cross-sec-tions. Axially symmetric thin-walled tanks. Thin plates. Elements of dynamics of elastic systems. Stress of materials under periodically varying loads. Material creep.

Strength of Aircraft Structures: general assumptions of thin-walled structures, girders, membrane theory of cylindrical shells, free torsion of thin-walled prismatic bars, open section bending and shearing of thin-walled bars, bending and shearing of thin-walled bars with closed cross-section, sandwich construction (three layer construction), elastic stability of bars, elastic stability of plates, structural work after loss of stability.

fifth semester / aviation and cosmonautics / aircraft drives, planes and helicopters

prof. dr hab. inż. Krzysztof Sibilski

Robert Rogólski, PhD

student's activity/load at:

1. Participation in lectures / 14

2. Independent study of lecture topics and preparation for final exams / 8

3. Participation in exercises / 16

4. Independent preparation for exercises / 24

5. Participation in consultations / 2

6. Participation in the credit / 1

Total student workload: 65 / 2 ECTS Classes with teachers: 1.+3.+5.+6.=33 / 1.0 ECTS Practical classes: 0.0 ECTS

Defining static and dynamic aeroelastic phenomena that may occur in the structure of an aircraft. Description of natural and forced vibrations of airframe structural elements in discrete and continuous terms. Beam models of vibrations - bending, torsional and bending-torsion vibrations. Vibration models of covering panels in the membrane and plate approach. Self-excited flutter vibrations. Static phenomena of aeroelasticity.

Lectures (14h)

Lectures will be prepared in the form of visual presentation (PowerPoint slides or screen expositions from other sources) - all explained and discussed during the lecture.

1. General characteristics of aeroelasticity phenomena, discrete models of basic types of vibrations of aircraft structures / 2h

2. Static and dynamic deformability of one-dimensional continuous structures / 2h

3. Vibrations of surface systems - membrane and plate models / 2h

4. Vibrations of aircraft structural units /2h

5. The theory of classic flutter in two- and three-dimensional terms /3h

6. Static aeroelastic phenomena - torsional divergence, aileron reversion, rudder efficiency / 3h

Exercises (16h)

Tasks and computational problems written down, discussed and solved on the board by students with the support of the teacher.

1. Equivalent models with one degree of freedom - natural and damped vibration frequencies, response to forcing, reduction of continuous load / 2h

2. Discrete model of a system with many degrees of freedom - equations of motion of a flexible surface structure with a tilting element / 2h

3. Determination of the natural frequencies of torsional and bending vibrations of a free-supporting straight wing / 2h

4. Deformability of structural load-bearing units under the influence of stationary aerodynamic load / 2h

5. Determination of natural and forced vibrations of simple surface systems /2h

6. Approximate calculations of the critical speeds of wing torsional divergence and aileron reversion / 2h

7. Solving the flutter determinant of a simple surface structure /2h

8. Estimated determination of aeroelastic parameters based on dedicated empirical criteria / 2h

Basic bibliography:

Bishop R. E. D., Gladwell G. M. L., Michaelson S.: The Matrics Analysis of vibration, Cambridge University Press, Cambriddge, UK, 1955.

Bisplinghoff R. L., Ashley H., Halfman R. L.: Aeroelasticity. Addison-Wesley Publishing Company, Inc. 1955.

Hodges D. H., Pierce G. A.: Introduction to Structural Dynamics and Aeroelasticity, Cambridge University Press 2002.

Scanlan R. H., Rosenbaum R.: Introduction To the Study of Aircraft Vibration and Flutter, Dover Publications, Mineola, NY, USA, 1968.

Supplementary bibliography:

Fung Y. C.: An Introduction to The Theory of Aeroelasticity, John Wiley, New York 1955.

Olejnik A.: Aerosprężystość układów powierzchniowych, X-Serwis, Warszawa 1996.

Rosenbaum R.: Airframe and Equipment Engineerin,. Report No. 45 –

Simplified Flutter Prevention Criteria for Personal Type Aircraft. AD- A955 270 Federal Aviation Administration Washington D.C.

Wright J., Cooper J.: Introduction to Aircraft Aeroelasticity and Loads. John Wiley & Sons, Ltd. 2007.

Dowel E.H. (Editor), Clark R., Cox D., Curtiss, Jr. H.C., Edwards J.W., Hall K.C., Peters D.A., Scanlan R., Simiu E., Sisto F. and Strganac T.W.: A Modern Course in Aeroelasticity (Fourth Revised and Enlarged Edition); KLUWER ACADEMIC PUBLISHERS, ©2005 Springer Science + Business Media, Inc.

symbol / learning result / reference to the effects of the field

W1/ has detailed knowledge of the operation of aircraft, including the knowledge necessary to understand the physics

the basics of operation of its elements, systems, devices, installations and systems - taking into account the connections between the forces

aerodynamics, mass and elasticity of the structure/ K_W18

U1 / is able to determine approximate values of the aeroelastic parameters of the aircraft based on known computational methods / K_U09

K1 / understands the need and knows the possibilities of continuous education and improvement of professional, personal and social competences

(second and third cycle studies, postgraduate studies, courses) / K_K01

The subject is assessed on the basis of: pass with grade. A necessary condition for obtaining a pass is obtaining a positive grade in the coursework and then passing the theoretical knowledge test.

The exercises are scored on the basis of: grades for individual performance of accounting tasks assigned by the instructor and additional grades obtained by the student for tasks solved during auditorium classes; Assessment of the lecture is carried out in the form of a written test.

The W1 effect is checked on a written theoretical knowledge test.

The U1 effect is checked by checking individually completed accounting tasks and by independently solving tasks during auditorium exercises:

The K1 effect is checked on the basis of group observations during calculation exercises.

The mark for achieving this effect is obtained together with achieving the U1 effect.

Lack