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Y3 ki F k2 Y2 m2 Y1 m1

Y3 ki F k2 Y2 m2 Y1 m1

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...
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Mass 1: mÿ1 = F, • Mass 2: m2ÿ2 = F The platform: F + Fa = F, + F The input of the system is force F and the output is y3. Determine the transfer function N(s) obtained in the form Gr,F(s) = where N(s) and D(s) are polynomials in s. You may use D(s) a symbolic manipulation program to solve a system of linear equations and simplify the solution.
Transcribed Image Text:Mass 1: mÿ1 = F, • Mass 2: m2ÿ2 = F The platform: F + Fa = F, + F The input of the system is force F and the output is y3. Determine the transfer function N(s) obtained in the form Gr,F(s) = where N(s) and D(s) are polynomials in s. You may use D(s) a symbolic manipulation program to solve a system of linear equations and simplify the solution.
b Y3 ki F k2 m2 Y1 Figure 1. Consider the mechanical system given in the figure. The system consists of 2 masses, 2 springs and a damper with the given coefficients. The mass of the platform on which the force F is applied is insignificant. The given distances are measured from an equilibrium position. The system acts on a horizontal plane. Hence, gravitational forces are not of any concern. Neglecting rotation and motion in the horizontal direction, the following mathematical relations about the individual components can be written. • Spring 1: F = (y3 – Yı)k1 Spring 2: F, = (y3 – Y2)k2 Damper: Fa = -ý3b
Transcribed Image Text:b Y3 ki F k2 m2 Y1 Figure 1. Consider the mechanical system given in the figure. The system consists of 2 masses, 2 springs and a damper with the given coefficients. The mass of the platform on which the force F is applied is insignificant. The given distances are measured from an equilibrium position. The system acts on a horizontal plane. Hence, gravitational forces are not of any concern. Neglecting rotation and motion in the horizontal direction, the following mathematical relations about the individual components can be written. • Spring 1: F = (y3 – Yı)k1 Spring 2: F, = (y3 – Y2)k2 Damper: Fa = -ý3b
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