Homework 1

# Homework 1 - Homework # 1 MME 315: Mechanical Vibrations...

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Homework # 1 MME 315: Mechanical Vibrations (Spring 2010) Department of Manufacturing and Mechanical Engineering School of Engineering and Applied Science Miami University, Oxford- OH, 45056 - 1 - The following problem/s is/are due for grading: DUE DATE: 02/01/2010 1. If, i k i = , for n i L , 2 , 1 = , write a Matlab Code which will create the following tri-diagonal matrix K of size n n × , + + + = n n n n n k k k k k k k k k k k k k 1 3 3 3 2 2 2 2 1 O K . Using this code evaluate 1 and , , K K K for 5 = n and 10 = n respectively. Include the code and the output as your solution. (3 Points) 2. (Inman) Problem 1.2. Obtain the solution using the solution form: (a) t j t j n n e a e a t x ω + = 2 1 ) (, (b) () φ + = t A t x n sin ) ( , and, (c) t A t A t x n n sin cos ) ( 2 1 + = where, m k n = . Compare these solutions by plotting them together in Matlab (6 Points) 3. (Inman) Problem 1.19 (2Points) 4. (Inman) Problem 1.22 (2 Points)

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Homework # 1 MME 315: Mechanical Vibrations (Spring 2010) Department of Manufacturing and Mechanical Engineering School of Engineering and Applied Science Miami University, Oxford- OH, 45056 - 2 - 5. The vehicle suspension system is shown below with the following parameters: kg m 200 = , /m 2500 N k = and .s/m 500 N c = . The spring is compressed 0.1 m when the tire hits the bump which gives the initial velocity 1.2 m/sec. Assuming the tire remains out of contact with the road after the bump then (a) determine the damping ratio, and, (b) determine and plot the tire displacement response ) ( t x . (3 Points) 6. (Inman) Problem 1.46-1.48 (together) (4 Points) Total: 20 Points
Homework # 1 MME 315: Mechanical Vibrations (Spring 2010) Department of Manufacturing and Mechanical Engineering

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## This note was uploaded on 01/27/2010 for the course MME 315 taught by Professor Singh during the Spring '10 term at Miami University.

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Homework 1 - Homework # 1 MME 315: Mechanical Vibrations...

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