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Stochastic Finite Elements: A Spectral Approach
  • Language: en
  • Pages: 217

Stochastic Finite Elements: A Spectral Approach

This monograph considers engineering systems with random parame ters. Its context, format, and timing are correlated with the intention of accelerating the evolution of the challenging field of Stochastic Finite Elements. The random system parameters are modeled as second order stochastic processes defined by their mean and covari ance functions. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is used' to represent these processes in terms of a countable set of un correlated random vari ables. Thus, the problem is cast in a finite dimensional setting. Then, various spectral approximations for the stochastic response of the system are obtained based...

A Primer for Deterministic and Stochastic Drill-String Vibration Analyses
  • Language: en
  • Pages: 250

A Primer for Deterministic and Stochastic Drill-String Vibration Analyses

  • Type: Book
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  • Published: 2005
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  • Publisher: Unknown

None

Probabilistic Methods in Civil Engineering
  • Language: en
  • Pages: 572

Probabilistic Methods in Civil Engineering

  • Type: Book
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  • Published: 1988
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  • Publisher: Unknown

None

Computational Stochastic Mechanics
  • Language: en
  • Pages: 886

Computational Stochastic Mechanics

Over a period of several years the field of probabilistic mechanics and com putational mechanics have progressed vigorously, but independently. With the advent of powerful computational hardware and the development of novel mechanical techniques, the field of stochastic mechanics has progressed in such a manner that the inherent uncertainty of quite complicated systems can be addressed. The first International Conference on Computational Stochastic Mechanics was convened in Corfu in September 1991 in an ef fort to provide a forum for the exchanging of ideas on the current status of computational methods as applied to stochastic mechanics and for identi fying needs for further research. The C...

Random Vibration and Statistical Linearization
  • Language: en
  • Pages: 466

Random Vibration and Statistical Linearization

This self-contained volume explains the general method of statistical linearization and its use in solving random vibration problems. Numerous examples show advanced undergraduate and graduate students many practical applications. 1990 edition.

Probabilistic Structural Mechanics: Advances in Structural Reliability Methods
  • Language: en
  • Pages: 621

Probabilistic Structural Mechanics: Advances in Structural Reliability Methods

This symposium is the seventh of a series of IUTAM sponsored symposia which focus on probabilistic methods in mechanics. It is the sequel to the series of meetings in Coventry, UK (1972), Southhampton, UK (1976), Frankfurt/Oder, Germany (1982), Stockholm, Sweden (1984), Innsbruck/Igls, Austria (1987), and Turin, Italy (1991). The symposium focused on advances in the area of probabilistic mechanics with direct application to structural reliability issues. The contributed papers address collectively the four components of a structural reliability problem. They are: characterization of stochastic loads, description of material properties in terms of fatigue and fracture, response determination,...

Computational Stochastic Mechanics
  • Language: en
  • Pages: 896

Computational Stochastic Mechanics

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Path Integrals in Stochastic Engineering Dynamics
  • Language: en

Path Integrals in Stochastic Engineering Dynamics

  • Type: Book
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  • Published: 2024-06-29
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  • Publisher: Springer

This book organizes and explains, in a systematic and pedagogically effective manner, recent advances in path integral solution techniques with applications in stochastic engineering dynamics. It fills a gap in the literature by introducing to the engineering mechanics community, for the first time in the form of a book, the Wiener path integral as a potent uncertainty quantification tool. Since the path integral flourished within the realm of quantum mechanics and theoretical physics applications, most books on the topic have focused on the complex-valued Feynman integral with only few exceptions, which present path integrals from a stochastic processes perspective. Remarkably, there are only few papers, and no books, dedicated to path integral as a solution technique in stochastic engineering dynamics. Summarizing recently developed techniques, this volume is ideal for engineering analysts interested in further establishing path integrals as an alternative potent conceptual and computational vehicle in stochastic engineering dynamics.

Probabilistic Offshore Mechanics
  • Language: en
  • Pages: 109

Probabilistic Offshore Mechanics

  • Type: Book
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  • Published: 1985
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  • Publisher: Unknown

None

Random Vibration and Statistical Linearization
  • Language: en
  • Pages: 486

Random Vibration and Statistical Linearization

This self-contained volume explains the general method of statistical linearization and its use in solving random vibration problems. Numerous examples show advanced undergraduate and graduate students many practical applications. 1990 edition.