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The landing gear of an airplane can be idealized as the spring-mass-damper system shown in Fig. 3.52 [3.16]. If the runway surface is described y(t) = yo cos at, determine the val- ues of k and e that limit the amplitude of vibration of the airplane (x) to 0.1 m. Assume m = 2000 kg, % = 0.2 m, and = 157.08 rad/s.

The landing gear of an airplane can be idealized as the spring-mass-damper system shown in Fig. 3.52 [3.16]. If the runway surface is described y(t) = yo cos at, determine the val- ues of k and e that limit the amplitude of vibration of the airplane (x) to 0.1 m. Assume m = 2000 kg, % = 0.2 m, and = 157.08 rad/s.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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solve by assuming a value of ζ of 0.5 and plot X/Y vs r and then solve for K and C based on r and ζ. Then plot using the given MATLAB code

 

Plot X/Y for <=0.5 for r between 0 and 3 with a step size of 0.01 Script 1 zi= 2 r= 3 % calculate X over Y 4 XOY= 5
Transcribed Image Text:Plot X/Y for <=0.5 for r between 0 and 3 with a step size of 0.01 Script 1 zi= 2 r= 3 % calculate X over Y 4 XOY= 5
3.44 The landing gear of an airplane can be idealized as the spring-mass-damper system shown in Fig. 3.52 [3.16]. If the runway surface is described y(t) = yo cos at, determine the val- ues of k and c that limit the amplitude of vibration of the airplane (x) to 0.1 m. Assume m = 2000 kg. % = 0.2 m, and = 157.08 rad/s. y(t) x(1) (a) -00000 FIGURE 3.52 Modeling of landing gear. m (b) Wheel Runway Housing with strut and viscous damping Mass of aircraft, m
Transcribed Image Text:3.44 The landing gear of an airplane can be idealized as the spring-mass-damper system shown in Fig. 3.52 [3.16]. If the runway surface is described y(t) = yo cos at, determine the val- ues of k and c that limit the amplitude of vibration of the airplane (x) to 0.1 m. Assume m = 2000 kg. % = 0.2 m, and = 157.08 rad/s. y(t) x(1) (a) -00000 FIGURE 3.52 Modeling of landing gear. m (b) Wheel Runway Housing with strut and viscous damping Mass of aircraft, m
Expert Solution
Step 1

Solution:

Given Data:

yt=yocos ωtx(t)=0.1 mm=2000 kgyo=0.2 mω=157.08 rad/s

 

To Find:

(a) The value of stiffness k.

(b) The value of damping coefficient c.

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