Produktbild: Linear vibrations
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Linear vibrations A theoretical treatment of multi-degree-of-freedom vibrating systems

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

13.11.2013

Verlag

Springer Netherland

Seitenzahl

327

Maße (L/B/H)

23,5/15,5/1,9 cm

Gewicht

517 g

Auflage

Softcover reprint of the original 1st ed. 1985

Übersetzt von

S. Swierczkowski

Sprache

Englisch

ISBN

978-94-010-8735-3

Beschreibung

Rezension

`
This excellently written and easily readable book is highly recommended to every scientist, engineer and student interested in vibration theory and its mathematical justification.
'

Acta Scientiarum Mathematicarum

`
The contents are well presented, and the introduction of topics not readily to be found in many textbooks on vibration makes this book a worthwhile addition to a dynamicist's library.
'

The Aeronautical Journal, February 1986

`
It is written in the form of a textbook useful for senior and graduate level students in mechanics or mechanical engineering. Practicing engineers faced with complex vibration problems will also find this book to be of value. The material is well organized into four parts.
'

Applied Mechanics Review, 39:6 (1986)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

13.11.2013

Verlag

Springer Netherland

Seitenzahl

327

Maße (L/B/H)

23,5/15,5/1,9 cm

Gewicht

517 g

Auflage

Softcover reprint of the original 1st ed. 1985

Übersetzt von

S. Swierczkowski

Sprache

Englisch

ISBN

978-94-010-8735-3

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Linear vibrations
  • I Mathematical description of vibrating systems.- 1. Classification of vibrations.- 2. Mechanical vibrating systems.- 2.1. Modeling of technical systems.- 2.2. Kinematics of multibody system.- 2.3. Lagrange’s equations of motion.- 2.4. Newton-Euler equations of motion.- Problems.- 3. State equations of linear vibrating systems.- 3.1. Ordinary mechanical systems.- 3.2. General linear systems.- 3.3. Transformation of linear state equations.- Problems.- II Time-invariant vibrating systems.- 4. The general solution of time-invariant vibrating systems.- 4.1. Fundamental matrix.- 4.2. General solution.- 4.3. Eigenvalues, eigenvectors.- 4.4. Theorem of Cayley and Hamilton.- Problems.- 5. Stability and boundedness.- 5.1. Definitions.- 5.2. Stability.- 5.2.1. Stability criteria by eigenvalues.- 5.2.2. Stability criteria by characteristic coefficients.- 5.2.3. Stability criteria by the Ljapunov matrix equation.- 5.2.4. Stability criteria for mechanical systems.- 5.3. Boundedness.- Problems.- 6. Free vibrations.- 6.1. Natural modes of vibrations.- 6.1.1. Nongyroscopic conservative systems.- 6.1.2. Lightly damped mechanical systems.- 6.1.3. Ordinary mechanical systems.- 6.2. Optimal natural vibrations.- 6.2.1. Cost functionals.- 6.2.2. Calculation of the cost functionals.- 6.2.3. Optimal parameters.- Problems.- 7. Forced vibrations.- 7.1. Impulsive excitation.- 7.2. Step excitation.- 7.3. Periodic excitation.- 7.4. Harmonically excited mechanical systems.- Problems.- 8. Resonance and absorption.- 8.1. Elementary frequency response matrix.- 8.2. Elementary frequency responses.- 8.3. Resonance and pseudoresonance.- 8.4. Absorption.- 8.5. Pseudoresonance and absorption in mechanical systems.- 8.6. Fixpoints.- 8.7. Optimal frequency responses.- 8.8. Parameter identification.- Problems.- 9. Random vibrations.- 9.1. Stochastic vector processes.- 9.2. Stochastic excitation.- 9.3. Spectral density analysis.- 9.4. Covariance analysis.- 9.5. Colored noise excitation processes.- Problems.- III Time-variant vibrating systems.- 10. General solution and stability.- 10.1. General time-variant systems.- 10.2. Periodic time-variant systems.- 10.3. Stability of periodic time-variant systems.- 10.4. Mechanical systems.- 10.4.1. Mathieu’s differential equation.- 10.4.2. Single-degree-of-freedom mechanical systems.- 10.4.3. Multi-degree-of-freedom mechanical systems.- Problems.- 11. Parameter-excited and forced vibrations.- 11.1. Parameter-excited vibrations.- 11.2. Impulsive excitation.- 11.3. Step excitation.- 11.4. Periodic excitation.- 11.5. Stochastic excitation.- Problems.- IV Mathematical background.- 12. Controllability and observability.- 13. Matrix equations.- 13.1. The linear vector equation.- 13.2. The Ljapunov matrix equation.- 13.3. Stein’s matrix equation.- 14. Numerical aspects.- 14.1. The linear vector equation.- 14.2. The Ljapunov matrix equation.- 14.3. Eigenvalues, eigenvectors.- 14.4. Frequency response.- 14.5. Fundamental matrix.- 14.6. Analog integration of the fundamental matrix.- 14.7. Digital integration of the fundamental matrix.- References.