Ronald J. Anderson - Introduction to Mechanical Vibrations

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An in-depth introduction to the foundations of vibrations for students of mechanical engineering For students pursuing their education in Mechanical Engineering,
is a definitive resource. The text extensively covers foundational knowledge in the field and uses it to lead up to and include: finite elements, the inerter, Discrete Fourier Transforms, flow-induced vibrations, and self-excited oscillations in rail vehicles.
The text aims to accomplish two things in a single, introductory, semester-length, course in vibrations. The primary goal is to present the basics of vibrations in a manner that promotes understanding and interest while building a foundation of knowledge in the field. The secondary goal is to give students a good understanding of two topics that are ubiquitous in today's engineering workplace – finite element analysis (FEA) and Discrete Fourier Transforms (the DFT- most often seen in the form of the Fast Fourier Transform or FFT). FEA and FFT software tools are readily available to both students and practicing engineers and they need to be used with understanding and a degree of caution. While these two subjects fit nicely into vibrations, this book presents them in a way that emphasizes understanding of the underlying principles so that students are aware of both the power and the limitations of the methods.
In addition to covering all the topics that make up an introductory knowledge of vibrations, the book includes:
● End of chapter exercises to help students review key topics and definitions
● Access to sample data files, software, and animations via a dedicated website

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10 Chapter 10Figure 10.1 An inerter implementation.Figure 10.2 A screw.Figure 10.3 The inerter symbol. Figure 10.4 Single degree of freedom system with an inerter.Figure 10.5 Free Body Diagram for the single degree of freedom system with a...Figure 10.6 Two degree of freedom system with inerters.Figure 10.7 Simplified two degree of freedom system with an inerter.Figure 10.8 A single degree of freedom system with harmonic ground motion.Figure 10.9 Free body diagram for the single degree of freedom system with h...Figure 10.10 A single degree of freedom system with an inerter and harmonic ...Figure 10.11 Free body diagram for the single degree of freedom system with ...

11 Chapter 11Figure 11.1 A measured variable картинка 5plotted versus time.Figure 11.2 The square of картинка 6plotted versus time.Figure 11.3 The example function, картинка 7, plotted versus time.Figure 11.4 The DFT amplitudes of the example function, картинка 8, plotted versus fr...Figure 11.5 Aliasing.Figure 11.6 The folding frequency.Figure 11.7 Aliased DFT results.Figure 11.8 The DFT for the first example.Figure 11.9 The DFT for the second example.Figure 11.10 CFT approximation to the square wave.Figure 11.11 The Hanning window.Figure 11.12 The data from Equation 11.83.Figure 11.13 The windowed data.Figure 11.14 The DFT for the second example with windowing.Figure 11.15 The DFT before downsampling.Figure 11.16 The DFT after downsampling.Figure 11.17 The time series before and after digital filtering.Figure 11.18 The DFT after decimating.Figure 11.19 A low‐pass filter circuit.Figure 11.20 Low‐pass filter frequency response in dB on a logarithmic scale...Figure 11.21 Low‐pass filter frequency response on a linear scale.Figure 11.22 Exponential moving average smoothed data.Figure 11.23 Exponential moving average DFT.Figure 11.24 Low‐pass digital filter frequency response.Figure 11.25 Low‐pass filter frequency response near the cut‐off frequency.Figure 11.26 Noisy time signal.Figure 11.27 Noisy time signal zoomed.Figure 11.28 DFT – 1 average.Figure 11.29 DFT – 10 averages.Figure 11.30 DFT – 20 averages.Figure E11.5

12 Chapter 12Figure 12.1 A mass on a spring.Figure 12.2 A spring connecting two masses.Figure 12.3 Lift and drag in a wind tunnel.Figure 12.4 Typical lift and drag forces versus angle of attack.Figure 12.5 A suspended airfoil in steady flow.Figure 12.6 Free body diagram of the airfoil.Figure 12.7 Representation of a von Karman vortex street in a wake.Figure 12.8 Helical strakes on tall chimneys.Figure 12.9 A railway truck supported by its two wheelsets.Figure 12.10 Parameters for a railway wheelset.Figure 12.11 Back‐to‐back cones forming a railway wheelset.Figure 12.12 Wheelset degrees of freedom.Figure 12.13 Creep forces.Figure 12.14 Wheelset free body diagram.Figure 12.15 Wheelset instability.Figure 12.16 System with a rigid body mode.Figure 12.17 The three modes.Figure 12.18 A spring/mass system.Figure 12.19 The model of a double wishbone suspension.Figure E12.1 Figure E12.3

13 Appendix AFigure A.1 Three data points and two Least Squares curve fits.

14 Appendix BFigure B.1 Parallel Axis Theorem.

Guide

1 Cover

2 Table of Contents

3 Begin Reading

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Introduction to Mechanical Vibrations

Ronald J. Anderson

Queen’s University

Kingston

Canada

This edition first published 2020 2020 John Wiley Sons Ltd All rights - фото 9

This edition first published 2020 © 2020 John Wiley & Sons Ltd

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.

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