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1) (35 points) A model of a vehicle suspension system is shown below. The of a...
1) (35 points) A model of a vehicle suspension system is shown below. The of a 500 kg vehicle is connected to the wheels through a suspension system that is modeled as a spring in parallel with a viscous damper. The wheels are assumed to be rigid and follow the road contour which is also shown below. If the vehicle travels at a constant speed of 52 m/s, what is the acceleration amplitude of the vehicle? m = 500 kg...
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 idealized as the spring-mass-damper system. The road surface varies sinusoidally and can be described asy()-r sin ot The vehicle has a mass of m kg. The suspension system has a spring constant of k N/m and a damping ratio of ζ 0.15 ta) For the above...
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...
PLEASE READ CAREFULLY TASK GIVEN BELOW AND ANSWERS THE QUESTIONS WHICH BEEN ASKED A vehicle suspension system can be modelled by the block diagram shown in Figure 1 below: Body mas:s 12 er of s cmicen G, Roac rgut Figure 1: Block diogrom of vehicle suspension system In this block diagram, the variation in the road surface height r as the vehicle moves is the input to the system. The tyre is modelled by the spring and dashpot (damping) system...
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...
An automobile suspension system is modeled as a 2-DoF vibration system as shown in Figure below Derive the equation of motion Determine the natural frequencies of the automobile with the following data Mass (mm) = 1000kg1000kg Momen of inertia (ImIm) = 450kgm2450kgm2 Distance between front axle and C.G. (LfLf) = 1.2m1.2m Distance between rear axle and C.G. (LfLf) = 1.5m1.5m Front spring stiffnes (kfkf) = 18kN/m18kN/m Rear spring stiffnes (krkr) = 17kN/m17kN/m Front damper coefficient (cfcf) = 3kNs/m3kNs/m Rear damper...
QUESTION 4 (140 marks) Determine the damped frequency of the spring-mass system schematically illustrated below if the spring stiffness is 3000 N/m and the damping coefficient c is set at 320 Ns/m. If a periodic 260 N force is applied to the mass at a frequency of 2 Hz, determine the amplitude of the forced vibration. Spring Viscous damper 35 kg Figure 4
Please help. (3) An automobile running on 4 wheels is about to pass over a speed bump that has a cross section that fits to a sine function of y(x)-5sinßx with B being a constant, and with a maximum width w 8 cm. as illustrated in Figure 1(a). The velocity of the automobile is 20 km/hr at the time of passing over the bump. The vehicle is supported by a suspension system that is consists of one coilover for each...
PROBLEM I- (3 pts) Figure below represents a suspension system of vehicle. It is composed by a rigid half axle that pivots about a fixed point o. A support, which consists of a massless spring (with stiffness k) and a damper (with damping coefficient b) coaxially placed, is pivoted on the half shaft at one end and the body at the other end. Neglect the masse of the half shaft and assume the equilibrium position of the system to be...
The motion of a car wheel with it suspension (Figure a) can be modeled as shown in Figure b. Determine the amplitude of the wheel X The wheel of mass mw-20 kg, the spring stiffness k-109 Nm and the shock absorber constant C-380 Nism. Assuming that the wheel is moving with a speed of 70 km hr and the road profile is sinusoidal with an amplitude of Y-0.05 m and a wave length L-1.73 m