The car's corner mass is m₁ = 220 kg and the unsprung mass is m₂ = 16 kg. Thesuspension spring stiffness is k, = 13 kN/m and the tire stiffness is k = 150 kN/m. Thecar is traveling with speed V on a sinusoidal road surface with wavelength= 5 mand amplitude A, = 0.010 m. Neglect the suspension damping and use the complexfrequency response method to find the steady-state responses of z₁ (t) and z₂ (t) forspeeds from V = 5 m/s to V = 30 m/s in 5 m/s increments. Comment on the results.m₂k₂k₁ZZZZm₁Z2Z1z, (t) = A, sin ot

Given: To find: Steady state response

The car's corner mass is m, = 220 kg and the unsprung mass is m₂ = 16 kg. The suspension spring stiffness is k, = 13 kN/m and the tire stiffness is k, = 150 kN/m. The car is traveling with speed V on a sinusoidal road surface with wavelength λ = 5 m and amplitude A, = 0.010 m. Neglect the suspension damping and use the complex frequency response method to find the steady-state responses of z₁ (t) and z, (t) for speeds from V = 5 m/s to V = 30 m/s in 5 m/s increments. Comment on the results.

The car's corner mass is m, = 220 kg and the unsprung mass is m₂ = 16 kg. The suspension spring stiffness is k, = 13 kN/m and the tire stiffness is k, = 150 kN/m. The car is traveling with speed V on a sinusoidal road surface with wavelength λ = 5 m and amplitude A, = 0.010 m. Neglect the suspension damping and use the complex frequency response method to find the steady-state responses of z₁ (t) and z, (t) for speeds from V = 5 m/s to V = 30 m/s in 5 m/s increments. Comment on the results.

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 car's corner mass is m₁ = 220 kg and the unsprung mass is m₂ = 16 kg. The
suspension spring stiffness is k, = 13 kN/m and the tire stiffness is k = 150 kN/m. The
car is traveling with speed V on a sinusoidal road surface with wavelength
= 5 m
and amplitude A, = 0.010 m. Neglect the suspension damping and use the complex
frequency response method to find the steady-state responses of z₁ (t) and z₂ (t) for
speeds from V = 5 m/s to V = 30 m/s in 5 m/s increments. Comment on the results.
m₂
k₂
k₁
ZZZZ
m₁
Z2
Z1
z, (t) = A, sin ot

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