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.

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.

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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2. Below is a picture of a car suspension system with additional springs (in red) added in series. Assume the car remains "level" (i.e. no rotational motion of the car body, only vertical motion). The original springs are ks modeling tire/road interaction). The car mass is m = 2,000 kg. 20, 000 N/m (the suspension spring), and kt 100, 000 N/m (the spring %3D The springs are all in equilibrium when d = 0.4 m. Ignore gravity in this problem. The point of the additional spring k is to make the ride more "bouncy" (some people like it that way). However, you need to make sure the car does not "bottom out" (i.e. hit the bump). It is known that when the springs are unstretched/uncompressed, the marimum vertical velocity can be is 1 m/s. What is the minimum value of the spring constant k (of the additional red spring) so that the car does not hit the bump during its vertical oscillations. Hint: Use energy balance. kis k's kt Figure 4: Simplified car model with upper springs representing…
A simplified SDOF model of a vehicle suspension system is shown in below Figure. The mass of the vehicle is 500 kg. The suspension spring has a stiffness of 100,000 N/m. The wheel is modeled as a spring placed in series with the suspension spring. When the vehicle is empty, its static deflection is measured as 5 cm. (a) Determine the equivalent stiffness of the wheel (b) Determine the equivalent stiffness of the spring combination. (c) Determine the natural frequency fn of the system ks kw m ww Suspension spring Wheel I stiffness
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Learning task 3_358fb2...d16851c23098ea0588d PDF Learning Tasks/Activities 1. Determine the degrees of freedom of the mechanism shown in figure (a) and (b) using Kutzbach mobility criterion and classify them. cylinders roll without slipping 4 2 (a) (b) 2. Explain Grubler's criterion for determining the degree of freedom for mechanisms. Using Grubler's criterion for the plane mechanism, prove that the minimum number of binary links in the constrained mechanism with simple hinges is four. 3. What is the significance of the degrees of freedom of the kinematic chain when it functions as a mechanism? Give examples. Page 26 of Vision: A globally competitive university for science, technology, and environmental conservation. Development of a highly competitive human resource, cutting-edge scientific knowledge and innovative technologies for sustainable communities and environment. ТР-IMD Mission: vo 07-15
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A quarter car model used for the analysis of suspension dynamics is shown in Figure Q2a. To avoid mode coupling, the hub mode (the motion dominated by 35 kg mass) has to occur at 14 Hz. For this limiting case calculate the value of tyre stiffness. ↑ 230 kg X2 3x10 N/m ↑ 35 kg X₁ m
Write the global stiffness matrix of the spring assemblage shown. Assume that all springs remain horizontal, the vertical bars at nodes 2 and 3 are rigid and allowed to slide horizontally to the left or right. Node 1 K1 = 2000 lb/in K2 = 2000 lb/in Node 2 m K3 = 1500 lb/in K4 = 1500 lb/in Node 3 F = 250 lb ma K5 = 3000 lb/in Node 4
Question 5 . Saved The rotational speed of 1000 rpm is equivalent to 104.72 rad/s 159.15 rad/s 16.67 rad/s Question 6 Saved The rotational speed of 1000 rpm is equivalent to a period of 0.06 s 16.67 s 0.6 s Question 7 Consider four springs with spring constants kl= 20N/m , K2=50 Nm K3=100 Nm, K4=200 Nm, What is the equivalent spring constant if K123 are in parallel and with K4 in series. 360 N/m 270 N/m 91.89 N/m
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