1.

Record Nr.

UNINA9910956575503321

Autore

Maymon Giora

Titolo

Some engineering applications in random vibrations and random structures / / Giora Maymon

Pubbl/distr/stampa

Reston, Va., : American Institute of Aeronautics and Astronautics, Inc., c1998

ISBN

1-60086-649-2

1-60086-430-9

Edizione

[1st ed.]

Descrizione fisica

1 online resource (263 p.)

Collana

Progress in astronautics and aeronautics ; ; v. 178

Disciplina

629.1 s

519.2

Soggetti

Random vibration

Stochastic processes

Structural dynamics

Structural analysis (Engineering)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""Cover""; ""Title""; ""Copyright""; ""Foreword""; ""Table of Contents""; ""Preface""; ""Chapter 1 Deterministic Single-Degree-of-Freedom System""; ""I. SDOF System Subjected to External Harmonic Excitation""; ""II. SDOF System Subjected to Base Excitation""; ""III. Response of an SDOF System to General Force""; ""IV. Stresses in an SDOF System""; ""V. Summary""; ""Chapter 2 Deterministic Multiple-Degree-of-Freedom System""; ""I. Differential Equations and Normal Modes of an MDOF System""; ""II. Generalized Masses, Dampings, Rigidities, and Forces""; ""III. Uncoupled Differential Equations""

""IV. Summary""""Chapter 3 Deterministic Continuous System""; ""I. Introduction""; ""II. Differential Equations of Continuous System""; ""III. Base Excitation""; ""IV. Stress Response""; ""V. Summary""; ""Chapter 4 Random Functions and Excitation""; ""I. Basic Concepts of Random Functions""; ""II. Practical Characterization of Random Excitation""; ""III. Important Excitation Functions""; ""IV. Boundary-Layer Excitation Model""; ""V. Summary""; ""Chapter 5 Response of Linear Systems to Stationary Random Excitations""; ""I. Response of a Linear SDOF



System""

""II. Response of a Linear MDOF System""""III. Response of a Linear Structure to Stationary Random Excitations""; ""IV. Summary""; ""Chapter 6 Nonlinear Single-Degree-of-Freedom and Multiple-Degree-of-Freedom Systems""; ""I. Introduction""; ""II. Nonlinear Behavior of an SDOF Oscillator""; ""III. Nonlinear Coefficients of a Structure""; ""IV. Summary""; ""Chapter 7 Statistical Linearization Method""; ""I. Statistical Linearization Method for an MDOF System""; ""II. Nonlinear Response of an SDOF System to Random Gaussian Force""

""III. Nonlinear Random Response of Two-DOF System to Random Gaussian Force""""IV. Nonlinear Random Response of an Elastic System""; ""V. Computational Procedure""; ""VI. Calculation of Stress Response""; ""VII. Summary""; ""Chapter 8 Nondeterministic Structures: Basic Concepts""; ""I. Introduction""; ""II. Failure Surface: Basic Case""; ""III. Reliability Index""; ""IV. Summary""; ""Chapter 9 Calculation of the Probability of Failure""; ""I. Introduction""; ""II. Lagrange Multiplier Method""; ""III. Demonstration of the Iterative Process""

""IV. Numerical Programs for Probabilistic Structural Analysis""""V. Summary""; ""Chapter 10 Taylor Series Expansion of the Failure Surface""; ""I. Introduction""; ""II. Taylor Series Expansion""; ""III. Selection of the Evaluation Point""; ""IV. Detailed Examples of the Taylor Series Expansion Method""; ""V. Summary""; ""Chapter 11 Direct Calculation of the Probability of Failure Using an Existing Finite Element Program""; ""I. Introduction""; ""II. MJPDF Method""; ""III. Numerical Examples""; ""IV. Summary""; ""Chapter 12 Probability of Failure of Dynamic Systems""; ""I. Introduction""

""II. Statistical Behavior of a Stationary Gaussian Process""

Sommario/riassunto

This text synthesizes information for analyzing random vibrations and structures into one coherent body of knowledge. It takes a practical yet progressive look at two major fields related to random analysis: linear and geometrically nonlinear structures, and the behaviour of random structures under random loads.



2.

Record Nr.

UNINA9910146313903321

Titolo

Seminaire de Probabilites XXXIV / / edited by J. Azema, M. Emery, M. Ledoux, M. Yor

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000

ISBN

3-540-46413-1

Edizione

[1st ed. 2000.]

Descrizione fisica

1 online resource (VIII, 440 p.)

Collana

Séminaire de Probabilités, , 2510-3660 ; ; 1729

Disciplina

519.2

Soggetti

Probabilities

Probability Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Nota di contenuto

Branching and interacting particle systems approximations of feynman-kac formulae with applications to non-linear filtering -- Exponential inequalities for bessel processes -- On sums of iid random variables indexed by N parameters -- Series of iterated quantum stochastic integrals -- p-variation for families of local times on lines -- Large deviations for some poisson random integrals -- Formes de Dirichlet sur un Espace de Wiener-Poisson. Application au grossissement de filtration -- Saturations of gambling houses -- Convergence of a ‘gibbs-boltzmann’ random measure for a typed branching diffusion -- Time dependent subordination and markov processes with jumps -- Marked excursions and random trees -- Laws of the iterated logarithm for the Brownian snake -- On the Onsager-Machlup functional for elliptic diffusion processes -- A unified approach to several inequalities for gaussian and diffusion measures -- Trous spectraux pour certains algorithmes de Métropolis sur ? -- Comportement asymptotique des fonctions harmoniques sur les arbres -- Asymptotic estimates for the first hitting time of fluctuating additive functionals of Brownian motion -- Monotonicity property for a class of semilinear partial differential equations -- Fast sets and points for fractional Brownian motion -- Some invariance properties (of the laws) of Ocone’s martingales.

Sommario/riassunto

This volume contains 19 contributions to various subjects in the theory of (commutative and non-commutative) stochastic processes. It also



provides a 145-page graduate course on branching and interacting particle systems, with applications to non-linear filtering, by P. del Moral and L. Miclo.