Bundle: Automotive Technology: A Systems Approach, 6th + LMS Integrated for MindTap Auto Trades Printed Access Card
Bundle: Automotive Technology: A Systems Approach, 6th + LMS Integrated for MindTap Auto Trades Printed Access Card
6th Edition
ISBN: 9781305366749
Author: Jack Erjavec, Rob Thompson
Publisher: Cengage Learning
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Chapter 4, Problem 18RQ
To determine

The component used to dampen the upward and downward movement of a vehicle spring amongst the given options.

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An aluminum rod of length L = 1m has mass density p = 2700 kg and Young's modulus E = 70 GPa. The rod is fixed at both ends. The exact natural eigenfrequencies of the rod are wexact E = √ ρ for n=1,2,3,. . . . 1. What is the minimum number of linear elements necessary to determine the fundamental frequency w₁ of the system? Discretize the rod in that many elements of equal length, assemble the global system of equations KU = w² MU, and find the fundamental frequency w₁. Compute the relative error e₁ = (w1 - wexact) /w exact Sketch the fundamental mode of vibration. 2. Use COMSOL to solve the same problem. Show the steps necessary to find the fundamental frequency and mode of the rod. What is the relative error using linear elements and a normal mesh?
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