Figure Q2-2 shows a schematic of a retractable landing gear of aircraft. The retraction mechanism is a 4 bar linkage (01ABO2), which is actuated by a hydraulic cylinder and piston, D, pivoted at E with a joint at C to link 0;A. Hydraulic cylinder & piston D A B Joint for landing gear wheel Figure Q2-2 Use the Gruebler's equation of DoF (Degrees of Freedom) of a linkage mechanism to assess if the landing gear produces the required retraction motion. 0,02 may be considered as the ground link. Hint: The joint of the wheel is not part of the linkage mechanism. The number of DoF may be used to check if it is a linkage with certain motions or a fixed structure. i) The dimensions of the 4 bar linkage (O1ABO2) are measured as O102 = 800 mm, O1A = 780 mm, AB = 200 mm and O2B = 400 mm. Use Grashof condition to determine the specific type of this linkage.

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Author:Sadiku, Matthew N. O.
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Figure Q2-2 shows a schematic of a retractable landing gear of aircraft.
The retraction mechanism is a 4 bar linkage (O1ABO2), which is actuated
by a hydraulic cylinder and piston, D, pivoted at E with a joint at C to link
O,A.
Hydraulic cylinder
& piston D
Joint for landing
gear wheel
Figure Q2-2
Use the Gruebler's equation of DoF (Degrees of Freedom) of a
linkage mechanism to assess if the landing gear produces the
required retraction motion. 0,02 may be considered as the ground
link.
i)
Hint: The joint of the wheel is not part of the linkage mechanism.
The number of DoF may be used to check if it is a linkage with
certain motions or a fixed structure.
ii)
The dimensions of the 4 bar linkage (O1ABO2) are measured as
O102 = 800 mm, O1A = 780 mm, AB = 200 mm and O2B = 400
mm. Use Grashof condition to determine the specific type of this
linkage.
You may find the Gruebler's equation useful:
M = 3(L – 1) – 2J
where, M is degree of freedom (DoF)
L is number of links
J is number of joints
Transcribed Image Text:Figure Q2-2 shows a schematic of a retractable landing gear of aircraft. The retraction mechanism is a 4 bar linkage (O1ABO2), which is actuated by a hydraulic cylinder and piston, D, pivoted at E with a joint at C to link O,A. Hydraulic cylinder & piston D Joint for landing gear wheel Figure Q2-2 Use the Gruebler's equation of DoF (Degrees of Freedom) of a linkage mechanism to assess if the landing gear produces the required retraction motion. 0,02 may be considered as the ground link. i) Hint: The joint of the wheel is not part of the linkage mechanism. The number of DoF may be used to check if it is a linkage with certain motions or a fixed structure. ii) The dimensions of the 4 bar linkage (O1ABO2) are measured as O102 = 800 mm, O1A = 780 mm, AB = 200 mm and O2B = 400 mm. Use Grashof condition to determine the specific type of this linkage. You may find the Gruebler's equation useful: M = 3(L – 1) – 2J where, M is degree of freedom (DoF) L is number of links J is number of joints
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