By referring to Figure Q2, a vehicle is modeled as a single-degree-of-freedom system vibrating in the...
By referring to Figure Q2, a vehicle is modeled as a single-degree-of-freedom system vibrating in the vertical direction. It is driven along a road whose profile varies sinusoidally. The distance from peak to trough is 0.20 m and distance along the road between the peaks in 37 m. If the natural frequency of the vehicle is 2.10 Hz and damping ratio of shock absorbed is 0.18
(a) Determine the amplitude of vibration of the vehicle at a speed of 55 km/hr.
(b) If the speed of vehicle is varied, find out the most unfavourable speed for the passengers
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By referring to Figure Q2, a vehicle is modeled as a single-degree-of-freedom system vibrating in the...
Consider a single degree of freedom (SDOF) with mass-spring-damper system
Consider a single degree of freedom (SDOF) with mass-spring-damper system subjected to harmonic excitation having the following characteristics: Mass, m = 850 kg; stiffness, k = 80 kN/m; damping constant, c = 2000 N.s/m, forcing function amplitude, f0 = 5 N; forcing frequency, ωt = 30 rad/s. (a) Calculate the steady-state response of the system and state whether the system is underdamped, critically damped, or overdamped. (b) What happen to the steady-state response when the damping is increased to 18000 N.s/m? (Hint: Determine...
An automobile is considered as a system consisting of a mass-spring of single degree of freedom...
An automobile is considered as a system consisting of a
mass-spring of single degree of freedom and dampener that makes
vibration movement in the vertical direction. The car is driven on
a road that its surface is sinusoidally changing as shown in the
figure. The distance between the highest point and the lowest point
on the road surface is 0.2 m, and the distance between two
consecutive peaks along the road is 35 m. If the natural frequency
of the...
Mechanical Vibrations
An automobile is modeled as a single-degree-of-freedom system vibrating in the vertical direction. It is driven along a road whose elevation varies sinusoidally.The distance from peak to trough is 0.2m and the distance along the road between the peaks is 35m. If the natural frequency of the automobile is 2 Hz and thedamping ratio of the shock absorbers is 0.15, determine the amplitude of vibration of the automobile at a speed of 60 Km/hr. If the speed of the automobile...
Mechanics of Machines and Vibrations Single Degree of Freedom- Forced Damped Vibration Problem 15...
Mechanics of Machines and Vibrations Single Degree of Freedom- Forced Damped Vibration Problem 15 A vehicle of mass 1,500 kg is placed on a vibrating platform to test the condition of its shock absorbers. The platform vibrates with y 3sin40t mm and it is found that the relative amplitude of steady state of the vehicle is 3 mm. If the equivalent stiffness of the suspension is ke 310° N/m, determine the following:- i. Damping ratio, ii. Equivalent damping constant of...
Q5: Fig. Q5 is a simplified model of car (Quarter car model). It is assumed that (1) the vehicle is constrained to one degree of freedom in the vertical direction, (2) the spring constant of the tire...
Q5: Fig. Q5 is a simplified model of car (Quarter car model). It is assumed that (1) the vehicle is constrained to one degree of freedom in the vertical direction, (2) the spring constant of the tires is infinite, that is, the road roughness is transmitted directly to the suspension system of the vehicle, and (3) the tires do not leave the road surface. Assume a trailer has 1,o00 kg mass fully loaded and 250 kg empty. The spring of...
The single degree of freedom model of a vehicle shown below will be used to obtain...
The single degree of freedom model of a vehicle shown below will
be used to obtain a first
approximation of the dynamic behavior of the entire vehicle. The
mass m of the vehicle is
1200 kg when fully loaded and 400 kg when empty. The spring
constant k is 400 kN/m and
the damping ratio ζf is 0.4 when the vehicle is fully
loaded. The vehicle is traveling at 100
km/h over a road whose surface has a sinusoidally varying...
An automobile is considered as a system consisting of a
mass-spring of single degree of freedom and dampener that makes
vibration movement in the vertical direction. The car is driven on
a road that its surface is sinusoidally changing as shown in the
figure. The distance between the highest point and the lowest point
on the road surface is 0.2 m, and the distance between two
consecutive peaks along the road is 35 m. If the natural frequency
of the...
Mechanics of Machines and Vibrations Single Degree of Freedom- Forced Damped Vibration Problem 15 A vehicle of mass 1,500 kg is placed on a vibrating platform to test the condition of its shock absorbers. The platform vibrates with y 3sin40t mm and it is found that the relative amplitude of steady state of the vehicle is 3 mm. If the equivalent stiffness of the suspension is ke 310° N/m, determine the following:- i. Damping ratio, ii. Equivalent damping constant of...
Q5: Fig. Q5 is a simplified model of car (Quarter car model). It is assumed that (1) the vehicle is constrained to one degree of freedom in the vertical direction, (2) the spring constant of the tires is infinite, that is, the road roughness is transmitted directly to the suspension system of the vehicle, and (3) the tires do not leave the road surface. Assume a trailer has 1,o00 kg mass fully loaded and 250 kg empty. The spring of...
The single degree of freedom model of a vehicle shown below will
be used to obtain a first
approximation of the dynamic behavior of the entire vehicle. The
mass m of the vehicle is
1200 kg when fully loaded and 400 kg when empty. The spring
constant k is 400 kN/m and
the damping ratio ζf is 0.4 when the vehicle is fully
loaded. The vehicle is traveling at 100
km/h over a road whose surface has a sinusoidally varying...
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