Principles of Vibration

Principles of Vibration

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With Principles of Vibration, Benson Tongue takes a refreshingly informal approach to the understanding and analysis of vibrations. The text strikes the right balance between detail and accessibility with an easily digestible style of writing yet no sacrifice of depth of analysis. The author provides a basic understanding of the main principles of vibrations, presenting the core ideas and theories that define the field. The volume follows the current trend of incorporating more modal analysis and linear algebra to solve vibrations problems, and utilizes MATLAB software. Starting with classical material--single degree of freedom systems--the text branches out into modern material, with an emphasis on multiple degree of freedom systems. Numerous problems challenge students to think and analyse outcomes of various techniques. The text features a chapter on "Seat of the Pants" engineering which brings together various approaches to answering or analysing vibration problems, and applies them to all systems that have been previously discussed.
Tongue's lucid step-by-step approach is in sharp contrast to other books in the field that overemphasize detail and complexity to the detriment of clarity.
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Product details

  • Hardback | 480 pages
  • 194 x 236 x 28mm | 979.75g
  • New York, United States
  • English
  • numerous line figures
  • 019510661X
  • 9780195106619

Table of contents

Free vibration of single degree of freedom systems; translational vibrations - undamped; rotational vibrations - undamped; viscous damping; Lagrange's equations; homework problems; forced vibration of single degree-of-freedom systems; seismic excitation; direct force excitation; transfer functions; viscous damping; complex representations; damped seismic motion; rotating imbalance; identification of damping and natural frequency; other types of damping; accelerometers and seismometers; homework problems; non-sinusoidal excitations; Fourier series analysis; forced response via the convolution integral; shock response; homework problems; vibrations involving more than one degree of freedom; free response - undamped system; forced response; vibration absorbers without damping; real behaviour of a vibration absorber; zeros in a forced response; putting problems into normal form; orthogonality of system eigenvectors; more on normal forms; linear damping; comparison of damped eigensolutions; forced response of damped systems; symmetry of mass and stiffness matrices; repeated frequencies and zero frequencies; influence coefficients; problems; distributed systems; free vibration of a bar (rod, string, etc.); free vibration of a beam; continuous systems - forced vibration; orthogonality of eigenfunctions; approximate solutions methods; lumped approximations; Rayleigh's quotient; Rayleigh-Ritz method: discrete systems; Rayleigh-Ritz Method: continuous problems; assumed modes method; seat of the pants engineering; getting approximate results; limiting cases; verifying your analyses; random vibrations and modal analysis; signal descriptions; Fourier transform analysis; spectral analyses; noise; sensors and actuators; nonlinear effects; four continuous systems; lumped spring constants; Assorted material constants; elementary matrix relations; vibration texts.
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