The landing gear of a commercial aircraft is modeled as mass-spring-damper system as shown in figure below. Your role is to define the main characteristics of such motion when the aircraft lands on rough runway that causes an oscillator motion as shown in the Figure.8. Your manger asked you to write a report showing your analysis for the system to avoid any excepted damages to the landing gear. Damper | x(1) Suspension System Oscillation Spring Street and Bumps Oscillations Elastic Tire Figure.8: Car's Suspension mass-spring-damper system A. For any mass-spring system, explain the natural frequency of vibration. B. To identify the system main parameters, the following mass-spring-damper model is identified: x(t) = 0.1179e¬25.2t sin (50t + 0.3224n) Determine the amplitude and phase angle of the transient response within the system? C. What is the frequency of the runway vibration required to cause resonance? Briefly, explain why it happens. D. Briefly, suggest how to prevent resonance from occurring on the landing gear? wwwy

The landing gear of a commercial aircraft is modeled as mass-spring-damper system as shown in figure below. Your role is to define the main characteristics of such motion when the aircraft lands on rough runway that causes an oscillator motion as shown in the Figure.8. Your manger asked you to write a report showing your analysis for the system to avoid any excepted damages to the landing gear. Damper | x(1) Suspension System Oscillation Spring Street and Bumps Oscillations Elastic Tire Figure.8: Car's Suspension mass-spring-damper system A. For any mass-spring system, explain the natural frequency of vibration. B. To identify the system main parameters, the following mass-spring-damper model is identified: x(t) = 0.1179e¬25.2t sin (50t + 0.3224n) Determine the amplitude and phase angle of the transient response within the system? C. What is the frequency of the runway vibration required to cause resonance? Briefly, explain why it happens. D. Briefly, suggest how to prevent resonance from occurring on the landing gear? wwwy

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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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

The landing gear of a commercial aircraft is modeled as mass-spring-damper system as shown in figure
below. Your role is to define the main characteristics of such motion when the aircraft lands on rough
runway that causes an oscillator motion as shown in the Figure.8. Your manger asked you to write a
report showing your analysis for the system to avoid any excepted damages to the landing gear.
Damper
| x(1)
Suspension System Oscillation
Spring
Street and Bumps Oscillations
Elastic Tire
Figure.8: Car's Suspension mass-spring-damper system
A. For any mass-spring system, explain the natural frequency of vibration.
B. To identify the system main parameters, the following mass-spring-damper model is identified:
x(t) = 0.1179e-25.2t sin (50t + 0.32247)
Determine the amplitude and phase angle of the transient response within the system?
C. What is the frequency of the runway vibration required to cause resonance? Briefly, explain
why it happens.
D. Briefly, suggest how to prevent resonance from occurring on the landing gear?

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