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QUESTION 13 Q8 (d): A motor vehicle and its simple mathematical model that can vibrate in the vertical direction while traveling over a rough road is shown in Figure (below). The vehicle can be i...
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...
8.9 An automobile with four wheels is about to pass over a speed bump as shown in the insert in Eigure 8.35a. The velocity of the vehicle at that time is 10 km/h. The vehicle is supported by a suspen...
8.9 An automobile with four wheels is about to pass over a speed bump as shown in the insert in Eigure 8.35a. The velocity of the vehicle at that time is 10 km/h. The vehicle is supported by a suspension system that consists of one coilover per wheel (a coilover is a combination of a shock absorber, or a damper, enclosed by a coil spring). The analytical model of the suspension system is illustrated in Figure 8.35b. The mass 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...
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...
QUESTION 10 Q8 (a): shock absorber for a car is to be designed. The system can be considered as simple SDOP system with a mass of m kg as shown in figure (below) and its damped free vibration res...
QUESTION 10 Q8 (a): shock absorber for a car is to be designed. The system can be considered as simple SDOP system with a mass of m kg as shown in figure (below) and its damped free vibration response is shown beside that. The damped period of vibration is to be Td sec. n u It is observed that the amplitude reduced to,% of initial value after 2 oscillations. x(o) 2 For the above question, determine the damped natural frequencies...
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...
8.9 An automobile with four wheels is about to pass over a speed bump as shown in the insert in Eigure 8.35a. The velocity of the vehicle at that time is 10 km/h. The vehicle is supported by a suspension system that consists of one coilover per wheel (a coilover is a combination of a shock absorber, or a damper, enclosed by a coil spring). The analytical model of the suspension system is illustrated in Figure 8.35b. The mass 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...
QUESTION 10 Q8 (a): shock absorber for a car is to be designed. The system can be considered as simple SDOP system with a mass of m kg as shown in figure (below) and its damped free vibration response is shown beside that. The damped period of vibration is to be Td sec. n u It is observed that the amplitude reduced to,% of initial value after 2 oscillations. x(o) 2 For the above question, determine the damped natural frequencies...
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