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It is a question of studying the dynamic behavior of landing gear (LG) of a F18 landing. To simulate the behavior of the...

It is a question of studying the dynamic behavior of landing gear (LG) of a F18 landing.
To simulate the behavior of the system we use the figure below. 

.(t) M plane x plane CLG (t) wheel wheel k. wheel wheel y(t) www

The term 'mwheel' denotes the total mass of the constituent members of the wheel. 
We want to know the displacement 'xplane(t)' of the mass 'mplane' for different scenarios.
We consider that the state of the airstrips can be represented by an entry 'y(t)' which simulates the
real geometry of the roadway. The tire is modeled by a linear wheel k and a shock absorber
wheel c.
You are asked to:
1. Establish the dynamic equations of system operation;
2. Model the detailed block diagram of the system;
3. Deduce the expression of the transfer function: H(s)= Xplane(s)/Y(s) , the initial conditions
being assumed to be zero;
.(t) M plane x plane CLG (t) wheel wheel k. 'wheel wheel y(t) www
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In this solution some basic concepts and formulas of Vibration Mechanics are used. For more information, refer to any standard textbook or drop a comment below. Please give a Thumbs Up, if solution is helpful.

Solution :

two Snown below males F B D Gftne the Conside mwtw mwheel MP (Vw y) LG p-X Cw (mx-d) 17 2 nd La, newtons we mw bou Now T fer

tTraupesfanpio ahe uo tuoo Now dedu ce we Noulo Know for hat we (y) .Han ce () by faking Laplaco of tue q Hon ce CLaSp Xw He

CLA SK (27t591 t Xw YeMpsCLGs tKi - amd reagrranging 9-et we woul A (CLGS KLa) Mps2 CL6ko s) ws Kw AMPS Mws Cw t gs Hers, + k

NOTE : Feel free to ask further queries. Your positive rating would be appreciated and motivate me !

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