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Random vibration--status and recent developments : the Stephen Harry Crandall Festschrift

Author: Stephen H Crandall; Isaac Elishakoff; Richard H Lyon
Publisher: Amsterdam ; New York : Elsevier, New York, NY, U.S.A. : Elsevier Science Pub. Co., 1986. [1986]
Series: Studies in applied mechanics, 14.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This unique book commemorates the 65th birthday of Stephen H. Crandall - one of the founding fathers and most active developers and elucidators of the science of random vibrations. Leading scientists from all over the world have contributed 33 papers addressing almost every important problem of random vibrations. The book thus represents both the state-of-the-art as well as the most recent developments, and will  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Random vibration--status and recent developments.
Amsterdam ; New York : Elsevier ; New York, NY, U.S.A. : Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1986
(DLC) 86016681
(OCoLC)13861655
Named Person: Stephen H Crandall; Stephen H Crandall
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Stephen H Crandall; Isaac Elishakoff; Richard H Lyon
ISBN: 9781483289953 1483289958
OCLC Number: 883732390
Description: 1 online resource (xx, 565 pages) : illustrations.
Contents: Front Cover; Random Vibration-Status and Recent Developments; Copyright Page; Dedication; DEDICATION TO STEPHEN H. CRANDALL; Contributors; Table of Contents; Chapter 1. DYNAMIC STABILITY OF PIPES CONVEYING FLUID WITH STOCHASTIC FLOW VELOCITY; Abstract; 1. Introduction; 2. Statement of the problem; 3. Transformation to standard form; 4. Approximation to Markov process; 5. Stability analysis; 6. Conclusion; APPENDIX-Calculations of drift and diffusion terms; References; Chapter 2. INTEGRAL THEORIES OF RANDOM VIBRATION OF COMPLEX STRUCTURES; Abstract. 1. The classical theory of random vibration of complex structures2. Generalization of the integral estimation's method; 3. The theory of the continuous medium with complex structure; 4. Theory of vibrational conductivity; References; Chapter 3. A NOTE ON HYSTERETIC DAMPING OF TRANSIENT MOTIONS; Abstract; Introduction; Damping persistence function; Linear damping; Viscous damping; Hysteretic damping; Conclusions; References; Chapter 4. A UNIFIED MODEL OF FATIGUE AND FRACTURE WITH APPLICATIONS TO STRUCTURAL RELIABILITY; Abstract; 1. Introduction; 2. Generalized Griffith concept. 3. Model of fatigue crack growth4. Mixed-mode fatigue crack; 5. Static fatigue in visco-elastic material; 6. Kinking and branching of fatigue cracks; References; Chapter 5. EXPERIMENTAL DETERMINATION OF MODAL DENSITY*; Abstract; 1. Introduction; 2. The derivation of modal density from point impedance measurements; 3. Modal density of some structural components; 4. Conclusion; References; Chapter 6. RESPONSE ANALYSIS OF VIBROIMPACT SYSTEMS WITH RANDOM EXCITATION; Abstract; 1. Method of piecewise-linear transformations: exact solutions. 2. Method of piecewise-linear transformations: approximate solutions3. Response spectra of vibroimpact systems with random excitation; References; Chapter 7. A MODEL ELUCIDATING SIGNIFICANCE OF CROSS-CORRELATIONS IN RANDOM VIBRATION ANALYSIS; Abstract; Introduction; Analysis; Acknowledgement; References; Chapter 8. NATURAL VIBRATIONS OF SHELLS IN LIQUID; Contents; 1. Introduction; 2. Comparison of eigenvalues of matrix equations; 3. Shells of revolution; 4. Shells with holes; References; Chapter 9. RANDOM VIBRATION OF A BEAM ON ELASTIC FOUNDATION UNDER MOVING FORCE; Contents; 1. Introduction. 2. Formulation of the problem3. Approximate solution; 4. Mean and centred value of the response; 5. Covariance of the response; 6. Spectral density; 7. Stresses and bending moments in the beam; 8. Numerical example; Appendices; 12. Conclusions; References; Chapter 10. AVERAGE METHODS FOR RANDOMLY EXCITED NON-LINEAR OSCILLATORS; Abstract; 1. Introduction; 2. The equations of motion; 3. The FPK equation; stationary solutions; 4. Averaging approximations; 5. Applications to oscillators with nonlinear damping; 6. Conclusions; References.
Series Title: Studies in applied mechanics, 14.
Responsibility: edited by I. Elishakoff and R.H. Lyon.

Abstract:

This unique book commemorates the 65th birthday of Stephen H. Crandall - one of the founding fathers and most active developers and elucidators of the science of random vibrations. Leading scientists from all over the world have contributed 33 papers addressing almost every important problem of random vibrations. The book thus represents both the state-of-the-art as well as the most recent developments, and will appeal to those in industry and academia who want to achieve a rigorous understanding of the many facets of the subject. A thorough study of the book will also help lay the foundatio.

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