Lecture #9 Analysis of fuselage frames using the force method
FUSELAGE FRAMES Airbus A300 2
FUSELAGE FRAMES - SURVIVABILITY Boeing 737, Aloha Flight 243 3
FUSELAGE FRAMES Airbus Beluga 4
FUSELAGE FRAMES Antonov An-225 5
FUSELAGE FRAMES Airbus A380 6
FUSELAGE FRAME LOADS Typical loads acting on the fuselage frame are: - distributed load due to inside pressure; - concentrated forces; - bending moments from wings; - distributed shear load to balance shear forces. 7
cc – number of closed contours (cells) FUSELAGE FRAMES ANALYSIS When analyzing fuselage frames, one must remember about: - the usage of symmetry and anti-symmetry; - internal pressure could be studied separately, basing on superposition principle; - the internal statical indeterminacy due to the closed contour: cc – number of closed contours (cells) 8
Force method Slope-deflection method Slope-deflection method METHODS TO ANALYSE FUSELAGE FRAMES Small degree of statical indeterminacy Force method Slope-deflection method Slope-deflection method in matrix formulation Numerical methods Large degree of statical indeterminacy 9
EXAMPLE OF FORCE METHOD APPLICATION 10
FLOWCHART OF SOLUTION USING FORCE METHOD 11
EXAMPLE OF FORCE METHOD APPLICATION 12
EXAMPLE OF FORCE METHOD APPLICATION 13
EXAMPLE OF FORCE METHOD APPLICATION 14
EXAMPLE OF FORCE METHOD APPLICATION (NUMERICAL SOLUTION) 15
EXAMPLE OF FORCE METHOD APPLICATION #2 16
EXAMPLE OF FORCE METHOD APPLICATION #2 (NUMERICAL SOLUTION) 17
EXAMPLE OF FORCE METHOD APPLICATION #3 18
EXAMPLE OF FORCE METHOD APPLICATION #3 (NUMERICAL SOLUTION) 19
… Internet is boundless … WHERE TO FIND MORE INFORMATION? For force method, I recommend Kassimali. Structural Analysis. 3rd ed. 2005 Chapter 13 For fuselage frames, go to Megson. An Introduction to Aircraft Structural Analysis. 2010 Chapter 5 … Internet is boundless … 20
TOPIC OF THE NEXT LECTURE Displacement methods All materials of our course are available at department website k102.khai.edu 1. Go to the page “Библиотека” 2. Press “Structural Mechanics (lecturer Vakulenko S.V.)” 21