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* A light aircraft nose landing gear is to be simply modelled as masses and springs illustrated in Fig. 3. The stiffness and mass of the tyre is given by k2 and m2 respectfully. The stiffness of the landing gear is given by kl and the mass of the aircraft by m₁. There is no damping and it is only free to vibrate in the vertical direction. Write the equation of motion for this system in matrix form. Calculate the natural frequencies if the following values are given k₁=10³ N/m, k₂=10³ N/m, mi-2000kg and m2 = 50kg. c) Determine the modal matrix to solve this problem.

* A light aircraft nose landing gear is to be simply modelled as masses and springs illustrated in Fig. 3. The stiffness and mass of the tyre is given by k2 and m2 respectfully. The stiffness of the landing gear is given by kl and the mass of the aircraft by m₁. There is no damping and it is only free to vibrate in the vertical direction. Write the equation of motion for this system in matrix form. Calculate the natural frequencies if the following values are given k₁=10³ N/m, k₂=10³ N/m, mi-2000kg and m2 = 50kg. c) Determine the modal matrix to solve this problem.

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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Question 4 A light aircraft nose landing gear is to be simply modelled as masses and springs illustrated in Fig. 3. The stiffness and mass of the tyre is given by k2 and m2 respectfully. The stiffness of the landing gear is given by kl and the mass of the aircraft by mi. There is no damping and it is only free to vibrate in the vertical direction. Write the equation of motion for this system in matrix form. Calculate the natural frequencies if the following values are given kı=10* N/m, k:=10³ N/m, mi-2000kg and m2 = 50kg. c) Determine the modal matrix to solve this problem. Fig. 3 Nose landing gear and Model XI X2 kı k₂ mi m2
Transcribed Image Text:Question 4 A light aircraft nose landing gear is to be simply modelled as masses and springs illustrated in Fig. 3. The stiffness and mass of the tyre is given by k2 and m2 respectfully. The stiffness of the landing gear is given by kl and the mass of the aircraft by mi. There is no damping and it is only free to vibrate in the vertical direction. Write the equation of motion for this system in matrix form. Calculate the natural frequencies if the following values are given kı=10* N/m, k:=10³ N/m, mi-2000kg and m2 = 50kg. c) Determine the modal matrix to solve this problem. Fig. 3 Nose landing gear and Model XI X2 kı k₂ mi m2
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