lecture #9 analysis of fuselage frames using the force method
TRANSCRIPT
![Page 1: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/1.jpg)
Lecture #9Analysis of fuselage frames usingthe force method
![Page 2: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/2.jpg)
Airbus A300
FUSELAGE FRAMES
2
![Page 3: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/3.jpg)
FUSELAGE FRAMES - SURVIVABILITY
3
Boeing 737, Aloha Flight 243
![Page 4: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/4.jpg)
Airbus Beluga
FUSELAGE FRAMES
4
![Page 5: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/5.jpg)
FUSELAGE FRAMES
5
Antonov An-225
![Page 6: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/6.jpg)
Airbus A380
FUSELAGE FRAMES
6
![Page 7: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/7.jpg)
FUSELAGE FRAME LOADS
7
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.
![Page 8: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/8.jpg)
FUSELAGE FRAMES ANALYSIS
8
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)
2 2 3 3i r c h n d cc
![Page 9: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/9.jpg)
METHODS TO ANALYSE FUSELAGE FRAMES
9
Slope-deflection method
Force method
Small degreeof statical
indeterminacy
Large degreeof statical
indeterminacy
Slope-deflection methodin matrix formulation
Numerical methods
![Page 10: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/10.jpg)
EXAMPLE OF FORCE METHOD APPLICATION
10
![Page 11: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/11.jpg)
FLOWCHART OF SOLUTION USING FORCE METHOD
11
Classificationof the problem
Basic system
Loaded andunit states
Redundant constraints are removed
In loaded state, external load is applied. In unit states, unit force is applied instead of constraint.
Canonical equations
Total stress state
Forces in removed constraints are determined
Displacements corresponding to removed constraints are
determined for each state
![Page 12: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/12.jpg)
EXAMPLE OF FORCE METHOD APPLICATION
12
![Page 13: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/13.jpg)
EXAMPLE OF FORCE METHOD APPLICATION
13
![Page 14: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/14.jpg)
EXAMPLE OF FORCE METHOD APPLICATION
14
![Page 15: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/15.jpg)
EXAMPLE OF FORCE METHOD APPLICATION(NUMERICAL SOLUTION)
15
![Page 16: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/16.jpg)
EXAMPLE OF FORCE METHOD APPLICATION #2
16
![Page 17: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/17.jpg)
EXAMPLE OF FORCE METHOD APPLICATION #2(NUMERICAL SOLUTION)
17
![Page 18: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/18.jpg)
EXAMPLE OF FORCE METHOD APPLICATION #3
18
![Page 19: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/19.jpg)
EXAMPLE OF FORCE METHOD APPLICATION #3(NUMERICAL SOLUTION)
19
![Page 20: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/20.jpg)
WHERE TO FIND MORE INFORMATION?
20
For force method, I recommendKassimali. Structural Analysis. 3rd ed. 2005Chapter 13
For fuselage frames, go to Megson. An Introduction to Aircraft Structural Analysis. 2010Chapter 5
… Internet is boundless …
![Page 21: Lecture #9 Analysis of fuselage frames using the force method](https://reader035.vdocuments.net/reader035/viewer/2022062309/56649f3d5503460f94c5cc61/html5/thumbnails/21.jpg)
TOPIC OF THE NEXT LECTURE
21
Displacement methods
All materials of our course are availableat department website k102.khai.edu
1. Go to the page “Библиотека”2. Press “Structural Mechanics (lecturer Vakulenko S.V.)”