6. Off-road vehicles experience many disturbance inputs as they transverseover rough roads. An active suspension system can be controlled by a sensorthat looks "ahead" at the road conditions. An example of a simple suspensionsystem that can accommodate the bumps is shown in Figure 4 below.a. Derive the transfer function relating the output and the disturbance, i.e.,Ga(s) =Y(s)D(s)b. Find the appropriate gain K₂ so that the vehicle does not bounce when thedesired deflection is R(s) = 0 and the disturbance is D(s).R(s)DesireddefectionBump disturbancePreview of disturbanceD(s)D(s)K₂VehicledynamicsK₁ΣG(s)Y(s)Bounce ofauto ordeflectionfromhorizontal

this question about the moment of inertia of the shaded region about the centroidal x and y axes.…

Answered: 6. Off-road vehicles experience many…

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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5) A rail road bumper is designed as a spring in parallel with a viscous damper. What is the bumper's damping coefficient such that the system has a damping ratio of 1.25, when the bumper is engaged by a rail car of 20000 kg mass. The stiffness of the spring is 2E5 N/m. If the rail car engages the bumper, while traveling at a speed of 20m/s, what is the maximum deflection of the bumper? foooo E
4G 4G 10:50 QUESTION 4.pdf QUESTION 4 A suspension system of a vehicle consists of a coil spring and a shock absorber (damper) at each tire as shown in Figure 1A. The coil spring and the wheel's tire have a stiffness of Ks and Kw respectively. Whereas the c is used to represent the damping coefficients of the suspension system. M2 and M1 are the mass of the vehicle and the wheel respectively. Spring Viscous damper Wheel Figure 1: Vehicle suspension assembly. 4.1 How the vehicle suspension operates. 4.2 Derive the equation of motion for the vehicle suspension shown in Figure 1. 4.3 What are the transfer functions and why are they useful in vehicle suspension. 1 of 1
4. Determine the equivalent damping coefficient for the following nonlinear damper: F(x) = c,& + czx° where c, = 5 N s/m and c, = 0.6 N s'/m'. Note: the damper is to be operated around a speed of 5 m/s.
5. Consider modeling the vertical suspension system of a small sports car as a single degree of freedom system of the form: mx + cx' + kx = 0 where m is the mass of the car and c and k are the equivalent damping and stiffness of the four-shock-absorber-spring systems. The car deflects the suspension system 0.05 m under its own weight. The suspension is designed to have a damping ratio of 0.3. a) Calculate the suspension system's equivalent damping and stiffness coefficients, if the car has a mass of 1500 kg. Also, determine the natural frequency. b) Then, with the same suspension, if two passengers, a full gas tank, and luggage totaling 350 kg are loaded in the car, determine the natural frequency and damping ratio. c) Comparatively discuss the results provided in parts (a) and (b) in terms of damping capacity, natural frequency, the amplitude of vibration, and time duration for vibration to nearly stop.
QUESTION 2 a) A single degree of freedom system with viscous damper is shown in Figure 3. The system driven by external forces, F = Fo cos cot. If m= 1 kg, k, = 11 N/m, k₂ = 14 N/m, c = 3 N.s/m, c₂= 2 N.s/m, Fo= 100 and = 7 rad/s. Derive the total response of the system if x(0)=0 and x(0) = Vo. Z m 5 I Figure 3 Fo cos wt
O f =9f A block attached to a spring. oscillates on a frictionless horizontal surface with a period of 0.3 s. The time needed by the block to move (for the first time) from position x = A to x = -A/2 is: 0.2 sec 0.3 sec O 0.15 sec 0.1 sec O 0 05 sec A block-spring system has a maximumrestong force Fomax = 0.1N. If the amplit
1. Equation of Motion 2. Find the response of the system, as the initial condition is (X, = 2 cm at the block). %3D Note: m= 1kg, Mlise 3 kg, c=50 N-s/m, k 200 N/m, and r= 10 cm. %3D and determine the response after 10 sec. 2r Activate
The damper in a model reduces the oscillations of the system response. True False
Given the vibrating system below: K1 K3 K4 Find the following 1. Keq 2. Ceq 3. Natural angular velocity K2 m C1 C3 C5 C2 C4 4. Damped angular velocity 5. Type of Damping 6. Equation of motion x(t). Assume Initial conditions for displacement and velocity Graph 2 cycles of the vibrating system. You can use third party app for this. 7. M = 10 kg K1=100 N/m K2= 80 N/m K3=75 N/m K4= 120 N/m C1 = 20Ns/m C2= 40 Ns/m C3= 35Ns/m C4= 15 Ns/m C5= 10 Ns/m
1. Linearized the dynamic model of the system shown below: - cô – mgL sin 0 + u. daor at| L sine mg
A DISCRETE-TIME system has the poles p1 = -0.1, p2 = 0.4, P3 = 1. Describe the stability of the system. O Stable O Marginally stable Unstable Unknown
Mass-spring dashpot system problem: m d²y dt² +by+ky(t) = f(t) Show Transcribed Text m = 50 N, k=0.1 N/m 1) Laplace equation for this system 2) Solve in time domain for step response 3) Show the step response for b and name and what is the status of the response: over, under, or critically damped. i. b = 1 Ns/m ii. b = 5 Ns/m iii. b = 10 Ns/m

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