Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Obtain the transfer function Y(s)/U(s) of the system shown in Figure 3–21. The input u is a displacement input. (Like the system of Problem A–3–1, this is also a simplified version of an automobile or motorcycle suspension system.)

Obtain the transfer function Y(s)/U(s) of the system shown in Figure 3–21. The input u is a displacement input. (Like the system of Problem A–3–1, this is also a simplified version of an automobile or motorcycle suspension system.)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question

Obtain the transfer function Y(s)/U(s) of the system shown in Figure 3–21. The input u is a
displacement input. (Like the system of Problem A–3–1, this is also a simplified version of an
automobile or motorcycle suspension system.)

m2 k2 |b ki Figure 3–21 Suspension system. ww
Transcribed Image Text:m2 k2 |b ki Figure 3–21 Suspension system. ww
A-3-1. Figure 3-20(a) shows a schematic diagram of an automobile suspension system. As the car moves along the road, the vertical displacements at the tires act as the motion excitation to the auto- mobile suspension system. The motion of this system consists of a translational motion of the cen- ter of mass and a rotational motion about the center of mass. Mathematical modeling of the complete system is quite complicated. A very simplified version of the suspension system is shown in Figure 3-20(b). Assuming that the motion x, at point P is the input to the system and the vertical motion x, of the body is the output, obtain the transfer function X(s)/x(s). (Consider the motion of the body only in the ver- tical direction.) Displacement x, is measured from the equilibrium position in the absence of input x,- Solution. The equation of motion for the system shown in Figure 3–20(b) is mž, + b(x, – x.) + k(x, – x,) = 0 or mx, + bx, + kx, = bx, + kx, Taking the Laplace transform of this last equation, assuming zero initial conditions, we obtain (ms² + bs + k)X,(s) = (bs + k)X,(s) Hence the transfer function X,(s)/X(s) is given by X,(s) bs + k X(s) ms² + bs + k Center of mass Auto body ile stem; stem. (b) ww ww
Transcribed Image Text:A-3-1. Figure 3-20(a) shows a schematic diagram of an automobile suspension system. As the car moves along the road, the vertical displacements at the tires act as the motion excitation to the auto- mobile suspension system. The motion of this system consists of a translational motion of the cen- ter of mass and a rotational motion about the center of mass. Mathematical modeling of the complete system is quite complicated. A very simplified version of the suspension system is shown in Figure 3-20(b). Assuming that the motion x, at point P is the input to the system and the vertical motion x, of the body is the output, obtain the transfer function X(s)/x(s). (Consider the motion of the body only in the ver- tical direction.) Displacement x, is measured from the equilibrium position in the absence of input x,- Solution. The equation of motion for the system shown in Figure 3–20(b) is mž, + b(x, – x.) + k(x, – x,) = 0 or mx, + bx, + kx, = bx, + kx, Taking the Laplace transform of this last equation, assuming zero initial conditions, we obtain (ms² + bs + k)X,(s) = (bs + k)X,(s) Hence the transfer function X,(s)/X(s) is given by X,(s) bs + k X(s) ms² + bs + k Center of mass Auto body ile stem; stem. (b) ww ww
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Fiber optics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS