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Random vibration - status and recent developments. The Stephen Harry Crandall Festschrift. (English) Zbl 0702.73042

Studies in Applied Mechanics, 14. Amsterdam etc.: Elsevier Science Publishers B.V. (Elsevier Science Publishing Company Inc.). XX, 565 p.; $ 198.00; Dfl. 495.00 (1986).
[The articles of this volume will not be indexed individually.]
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 foundations for future directions of research.
Contents:
Dedication to Stephen H. Crandall. List of contributors. Technical publications by Stephen H. Crandall.
S. T. Ariaratnam and N. Sri Namachchivaya: Dynamic stability of pipe conveying fluid with stochastic flow velocity (pp. 1-18). A. K. Belyaev and V. A. Palmov: Integral theories of random vibration of complex structures (pp. 19-38). R. E. D. Bishop and W. G. Price: A note on hysteretic damping of transient motions (pp. 39-46). V. V. Bolotin: A unified model of fatigue and fracture with application to structural reliability (pp. 47-58). B. L. Clarkson: Experimental determination of modal density (pp. 59-86). M. F. Dimentberg and A. I. Menyailov: Response analysis of vibroimpact systems with random excitation (pp. 87-100).
I. Elishakoff: A model elucidating significance of cross- correlations in random vibration analysis (pp. 101-112). K. V. Frolov and V. N. Antonov: Natural vibrations of shells in liquid (pp. 113-126). L. Frýba: Random vibration of a beam on elastic foundation under moving force (pp. 127-148). K. Hennig and J. B. Roberts: Average methods for randomly excited nonlinear oscillators (pp. 149-162). F. Kozin: Some results on stability of stochastic dynamical systems (pp. 163-192). Y. K. Lin and Y. Yong: Some observations on spectral analysis (pp. 193-200).
R. H. Lyon: Statistics of phase and magnitude of structural transfer functions (pp. 201-210). W. D. Mark: Power spectrum representation for nonstationary random vibration (pp 211-240). S. F. Masri, R. K. Miller, H. Sassi and T. K. Caughey: Response of hysteretic oscillators under nonstationary random excitation (pp. 241-266). G. Maymon: Response of aeronautical structures to random acoustic excitation - a stress modes approach (pp. 267-278). C. Mei and H. F. Wolfe: On large deflection analysis in acoustic fatigue design (pp. 279-302).
D. E. Newland: General linear theory of vehicle response to random road roughness (pp. 303-326). N. C. Nigam: Optimum design of systems operating in random vibration environment (pp. 327-340). J. D. Robson: Note on the symmetries of higher-order correlation functions and spectral densities (pp. 341-348). H. Sandi: Random vibrations in some structural engineering problems (pp. 349-378). W. O. Schiehlen: Random vehicle vibrations (pp. 379-388). G. I. Schuëller and C. G. Bucher: Nonlinear damping and its effects on the reliability estimates of structural systems (pp. 389-402).
P. Seide: Snap-through of initially buckled beams under uniform random pressure (pp. 403-414). M. Shinozuka, T. Kako and A. Tsurui: Random vibration analysis in finite element formulation (pp. 415-450). K. Zobczyk: Probabilistic modelling of fatigue crack growth under variable-amplitude loading (pp. 451-458). P.-T. D. Spanos: Filter approaches to wave kinematics approximation (pp. 459- 474). V. F. Ushkalov: Random vibrations of railway vehicles (pp. 475-498).
E. H. Vanmarcke: Random vibration approach to seismic safety evaluation (pp. 499-510). Y.-K. Wen: Application of random vibration method to safety and damage analysis of buildings and structures (pp. 511-525). W.-Q. Zhu: Wide band random vibration of structures (pp. 525-536). H. S. Zibdeh and R. A. Heller: Environmental thermal stress as a first passage problem (pp. 537-554). F. Ziegler, H. Irschik and R. Heuer: Nonstationary response of polygonally shaped membranes to random excitation (pp. 555- 565).

MSC:

74H50 Random vibrations in dynamical problems in solid mechanics
76E30 Nonlinear effects in hydrodynamic stability
70L05 Random vibrations in mechanics of particles and systems
93E15 Stochastic stability in control theory
74-06 Proceedings, conferences, collections, etc. pertaining to mechanics of deformable solids
70-06 Proceedings, conferences, collections, etc. pertaining to mechanics of particles and systems
74G60 Bifurcation and buckling
74S05 Finite element methods applied to problems in solid mechanics
74R99 Fracture and damage
74J99 Waves in solid mechanics

Biographic References:

Crandall, Stephen Harry