An idealised landing gear system of an aeroplane consists of 3 identical one-degree-of-freedom spring-mass- damper systems as shown in the figure. Construct the equation of motion of the landing gear system. If the runway surface is described as a function of time y(t) =Yocoswt. Assuming that: Y₁ = 0.2m and w = 158rad/s, determine the values of spring stiffness, k, and damping coefficient, c, that limit the amplitude of vibration of the aeroplane to 0.085m when it is landing in the two cases: a. The aeroplane is empty with the total mass of 9500kg. b. The aeroplane is fully loaded with the total mass of 40,000kg x(0)

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
icon
Related questions
Question

Pls see the question in the attcahed image and solve  using either Newton’s method or Lagrange Energy method .

An idealised landing gear system of an aeroplane consists of 3 identical one-degree-of-freedom spring-mass-
damper systems as shown in the figure. Construct the equation of motion of the landing gear system.
If the runway surface is described as a function of time y(t) =Yocoswt. Assuming that: Y₁ = 0.2m and
w = 158rad/s, determine the values of spring stiffness, k, and damping coefficient, c, that limit the amplitude
of vibration of the aeroplane to 0.085m when it is landing in the two cases:
a. The aeroplane is empty with the total mass of 9500kg.
b. The aeroplane is fully loaded with the total mass of 40,000kg
x(r)
y(1)
0x000
Runway
Transcribed Image Text:An idealised landing gear system of an aeroplane consists of 3 identical one-degree-of-freedom spring-mass- damper systems as shown in the figure. Construct the equation of motion of the landing gear system. If the runway surface is described as a function of time y(t) =Yocoswt. Assuming that: Y₁ = 0.2m and w = 158rad/s, determine the values of spring stiffness, k, and damping coefficient, c, that limit the amplitude of vibration of the aeroplane to 0.085m when it is landing in the two cases: a. The aeroplane is empty with the total mass of 9500kg. b. The aeroplane is fully loaded with the total mass of 40,000kg x(r) y(1) 0x000 Runway
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Free Damped Vibrations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY