Technology

Science and Nature

Structural Vibrations and Waves

Theory, Modeling, Measurement, and Spectral Analysis of Random and Mechanical VibrationsBy Noriko Takasugi

Listen with Sir Michael Caine™ and 1,000+ voices

Get for $90

Length13h 58m

About this audiobook

A structure does not care whether you modelled it as a lumped mass or a continuum; it responds at the frequencies it has. This book takes you from a single spring and mass to measured spectra on real hardware without breaking that chain. You will derive frequency response functions and extract damping from half-power bandwidth, design isolators against transmissibility targets, tune a mass damper, assemble and solve multi-degree-of-freedom systems in modal coordinates, and handle beams, plates and dispersive bending waves. Random vibration then gives you power spectral density, root-mean-square response and fatigue damage estimation, followed by the spectral analysis choices — sampling, windows, averaging — that decide whether your measurement means anything. Closing coverage includes modal testing and active control. For graduate students, structural dynamicists and test engineers, the treatment balances theory, modeling, measurement and spectral analysis so that each concept connects directly to the next. Derivations are presented with enough detail to follow by hand, while numerical methods and finite element vibration are introduced where they become necessary. The result is a coherent path from first principles to practical implementation. What you will learn: • Derive the free vibration response of single-degree-of-freedom systems and identify natural frequency and damping ratio from physical parameters. • Extract damping from half-power bandwidth and interpret frequency response functions for harmonic excitation. • Design vibration isolators against transmissibility targets and analyze base excitation and unbalance. • Tune a mass damper and solve two-degree-of-freedom systems for absorber performance. • Assemble and solve multi-degree-of-freedom systems in modal coordinates, including numerical methods and finite element vibration. • Model continuous systems, beams and plates, and analyze dispersive bending waves in structures. • Estimate random vibration response using power spectral density, root-mean-square values and fatigue damage. • Make spectral analysis choices — sampling, windows, averaging — that determine measurement validity. • Apply modal testing and active control techniques to real hardware. This book is for graduate students, structural dynamicists and test engineers who need a rigorous yet practical treatment of mechanical vibrations, from theory and modeling to measurement and spectral analysis.

Audiobook details

GenreTechnology, Science and Nature

Length13 hrs 58 mins

Narrated byListen with 1,000+ voices

FormateBook with Audio

Publish dateSep 28, 2026

LanguageEnglish

1Structural Vibrations and Waves

2Foreword

3Preface

4About This Book

5Chapter 1: Free Vibration of Single-Degree-of-Freedom Systems

Show all chapters

61.1 From Real Hardware to a Lumped Model

71.2 The Equation of Motion by Newton’s Second Law

81.3 Energy Methods and Rayleigh’s Principle

91.4 Equivalent Stiffness of Real Components

101.5 Equivalent Mass and Real Components

111.6 Natural Frequency, Static Deflection and Design Checks

12Chapter 2: Damping

132.1 Viscous Damping and the Damped Equation of Motion

142.2 Logarithmic Decrement and Decay Envelopes

152.3 Coulomb Damping and Dry Friction

162.4 Structural and Material Damping

172.5 Measuring Damping and Choosing a Model

18Chapter 3: Harmonic Excitation and Frequency Response

193.1 Response to Harmonic Force

203.2 Frequency Response Functions and Complex Notation

213.3 Resonance, Quality Factor and Half-Power Bandwidth

223.4 Phase Behavior and Nyquist Plots

233.5 Transients, Beating and Sweep-Rate Effects

24Chapter 4: Base Excitation, Unbalance and Isolation

254.1 Response to Base Motion and Transmissibility

264.2 Force Transmissibility and Isolator Selection

274.3 Rotating Unbalance and Whirling of Shafts

284.4 Isolator Types and Practical Selection

29Chapter 5: Transient and Shock Response

305.1 Impulse Response and the Convolution Integral

315.2 Step, Ramp and Pulse Inputs

325.3 Shock Response Spectra

335.4 Design for Drop, Pyroshock and Specified Shock

34Chapter 6: Two-Degree-of-Freedom Systems and Absorbers

356.1 Coupled Equations and the Two-Mass System

366.2 Mode Shapes and Normal Coordinates

376.3 The Undamped Vibration Absorber

386.4 The Damped Absorber and Optimum Tuning

39Chapter 7: Multi-Degree-of-Freedom Systems

407.1 Mass and Stiffness Matrices for Lumped Systems

417.2 The Eigenvalue Problem and Orthogonality

427.3 Modal Superposition and Modal Coordinates

437.4 Proportional and Non-Proportional Damping

44Chapter 8: Numerical Methods and Finite Element Vibration

458.1 Element Mass and Stiffness Matrices

468.2 Assembly, Boundary Conditions and Eigen-Solvers

478.3 Model Reduction and Substructuring

488.4 Mesh, Boundary Conditions and Correlation with Test

49Chapter 9: Continuous Systems

509.1 The Wave Equation for Strings and Axial Bars

More from Technology

Hands of TimeRebecca Struthers8h 8m4.4 (1.3K)$26 · $0.00

Never Lost AgainBill Kilday10h 1m4.4 (805)$29 · $0.00

How the Internet HappenedBrian McCullough13h 28m4.3 (2.7K)$23 · $0.00

Collected Writings of Nikola TeslaNikola Tesla, Thomas Commerford Martin21h 50m4.3 (1.7K)$1 · $0.00

Just AspireAjai Chowdhry9h 13m4.4 (260)$29 · $0.00

The Little Book of AliensAdam Frank8h 20m4.3 (1.3K)$26 · $0.00

The inventions, researches and writings of Nikola Tesla (Annotated)Thomas Commerford Martin16h 59m4.3 (1.3K)$2 · $0.00

KargilV.P. Malik15h 18m4.3 (2K)$24 · $0.00

Experiments with Alternating CurrentsNikola Tesla9h 6m4.3 (874)$1 · $0.00

Fire on the HorizonTom Shroder, John Konrad8h 23m4.3 (858)$26 · $0.00

The Smell of Kerosene (Annotated)National Aeronautics and Space Administration, Donald L. Mallick, Peter W. Merlin11h 32m4.3 (523)$2 · $0.00

The Boy Who Harnessed the WindWilliam Kamkwamba, Bryan Mealer10h 5m4.2 (78.9K)$29 · $0.00

Across the Airless WildsEarl Swift10h 8m4.3 (1.3K)$29 · $0.00

Console WarsBlake J. Harris20h 41m4.2 (13.7K)$46 · $0.00

Improvised Munitions HandbookU.S. Department of Defense4h 49m4.3 (1.6K)$1.99 · $0.00

Escaping GravityLori Garver10h 54m4.2 (2.2K)$20 · $0.00

Wireless WarsJonathan Pelson8h 2m4.3 (418)$20 · $0.00

Let There Be WaterSeth M. Siegel8h 36m4.2 (2.3K)$20 · $0.00

The PerfectionistsSimon Winchester11h 46m4.2 (9.9K)$29 · $0.00

Rethinking NarcissismDr. Craig Malkin6h 7m4.2 (3.4K)$24 · $0.00

View all

More from Science and Nature

A Brief History of IntelligenceMax S. Bennett12h 18m4.6 (6.6K)$29 · $0.00

The Story of BirdsSteve Brusatte11h 49m4.6 (401)$29 · $0.00

My Life Among the UnderdogsTia Torres5h 51m4.5 (4K)$24 · $0.00

What It Takes to Save a LifeKwane Stewart6h4.6 (556)$24 · $0.00

Pastoral SongJames Rebanks8h 35m4.5 (12K)$26 · $0.00

How Stella Learned to TalkChristina Hunger7h4.5 (10.9K)$24 · $0.00

Craig & FredCraig Grossi8h 6m4.5 (9.6K)$26 · $0.00

Celebrating BirdsNatalia Rojas, Ana Maria Martinez6h 47m4.6 (330)$24 · $0.00

Saving JemimaJulie Zickefoose4h 59m4.5 (749)$20 · $0.00

Will's Red CoatTom Ryan8h 23m4.5 (2.3K)$26 · $0.00

Of Time and TurtlesSy Montgomery10h 34m4.5 (5K)$29 · $0.00

Zen and the Art of Saving the PlanetThich Nhat Hanh9h 20m4.5 (3.9K)$29 · $0.00

Bottle of LiesKatherine Eban14h 25m4.4 (12K)$33 · $0.00

IngrainedCallum Robinson8h 10m4.5 (1.1K)$26 · $0.00

The Lion Tracker's Guide To LifeBoyd Varty3h 1m4.4 (4.8K)$18 · $0.00

Born for LoveBruce D. Perry, Maia Szalavitz11h 42m4.4 (4K)$29 · $0.00

The Mountains of California (With Original Drawings & Photographs) (Annotated)John Muir11h 35m4.5 (1.1K)$2 · $0.00

The New GuysMeredith Bagby16h 50m4.4 (1.2K)$40 · $0.00

Blue PasturesMary Oliver3h 23m4.4 (3.8K)$18 · $0.00

The Rise and Reign of the MammalsSteve Brusatte13h 26m4.4 (11.1K)$33 · $0.00