Slope Stochastic Dynamics
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Slope Stochastic Dynamics
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Author : Yu Huang
language : en
Publisher: Springer Nature
Release Date : 2022-02-02
Slope Stochastic Dynamics written by Yu Huang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-02 with Science categories.
This book provides a new framework for analysis of slope nonlinear stochastic seismic dynamic response based on the new theoretical tool of stochastic dynamics. The coupling effects of uncertainty of geological parameters, strong dynamic nonlinearity, and randomness of ground motion are considered in the process of the seismic dynamic stability assessment of slope. In this book, an intensity frequency non-stationary stochastic ground motion model based on time-domain stochastic process description is preliminarily established to characterize the randomness of earthquakes. The spatial distribution random field model of geotechnical parameters is established to describe the time-space variability of geotechnical parameters. Based on the basic theory of stochastic dynamics, the seismic stability performance evaluation method of slope is established. The slope seismic dynamic model test based on large complex shaking table is performed to verify and modify the proposed framework and method. This book sheds new light on the development of nonlinear seismic stochastic dynamics and seismic design of slope engineering.
Guidelines For Probabilistic Performance Based Seismic Design And Assessment Of Slope Engineering
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Author : Yu Huang
language : en
Publisher: Springer Nature
Release Date : 2023-03-16
Guidelines For Probabilistic Performance Based Seismic Design And Assessment Of Slope Engineering written by Yu Huang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-16 with Science categories.
This book provides a new design and evaluation framework based on slope Stochastic Dynamics theory to probabilistic seismic performance for slope engineering. For the seismic dynamic stability safety of slope, it shifts from deterministic seismic dynamic analysis to quantitative analysis based on nonlinear stochastic dynamics, that is, from qualitative to the description of stochasticity of earthquake excitation that meet the needs in related design specification and establish a performance standard. In the nonlinear dynamic time history analysis of slope subjected to seismic ground motion, the term “randomness” is used to express the uncertainty in the intensity and frequency of earthquake excitation for slope engineering dynamic seismic performance. It mainly includes seismic design fortification standard, corresponding ground motion excitation, performance index threshold, and slope deterministic nonlinear seismic dynamic response. Even more than that, the seismic dynamic large deformation approaches of the whole process and comprehensive analysis for flow analysis after slope instability failure. Eventually, the probabilistic seismic dynamic performance of the slope engineering will be characterized by nonlinear dynamic reliability.
Stochastic Dynamics Modeling Solute Transport In Porous Media
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Author : Don Kulasiri
language : en
Publisher: Elsevier
Release Date : 2002-11-22
Stochastic Dynamics Modeling Solute Transport In Porous Media written by Don Kulasiri and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-22 with Science categories.
Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches. There is evidence in natural phenomena to suggest that some of the observations can not be explained by using the models which give deterministic solutions. Stochastic processes have a rich repository of objects which can be used to express the randomness inherent in the system and the evolution of the system over time. The attractiveness of the stochastic differential equations (SDE) and stochastic partial differential equations (SPDE) come from the fact that we can integrate the variability of the system along with the scientific knowledge pertaining to the system. One of the aims of this book is to explaim some useufl concepts in stochastic dynamics so that the scientists and engineers with a background in undergraduate differential calculus could appreciate the applicability and appropriateness of these developments in mathematics. The ideas are explained in an intuitive manner wherever possible with out compromising rigor. The solute transport problem in porous media saturated with water had been used as a natural setting to discuss the approaches based on stochastic dynamics. The work is also motivated by the need to have more sophisticated mathematical and computational frameworks to model the variability one encounters in natural and industrial systems. This book presents the ideas, models and computational solutions pertaining to a single problem: stochastic flow of contaminant transport in the saturated porous media such as that we find in underground aquifers. In attempting to solve this problem using stochastic concepts, different ideas and new concepts have been explored, and mathematical and computational frameworks have been developed in the process. Some of these concepts, arguments and mathematical and computational constructs are discussed in an intuititve manner in this book.
Lectures On Dynamics Of Stochastic Systems
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Author : Valery I. Klyatskin
language : en
Publisher: Elsevier
Release Date : 2010-09-09
Lectures On Dynamics Of Stochastic Systems written by Valery I. Klyatskin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-09 with Science categories.
Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. Models naturally render to statistical description, where random processes and fields express the input parameters and solutions. The fundamental problem of stochastic dynamics is to identify the essential characteristics of the system (its state and evolution), and relate those to the input parameters of the system and initial data. This book is a revised and more comprehensive version of Dynamics of Stochastic Systems. Part I provides an introduction to the topic. Part II is devoted to the general theory of statistical analysis of dynamic systems with fluctuating parameters described by differential and integral equations. Part III deals with the analysis of specific physical problems associated with coherent phenomena. A comprehensive update of Dynamics of Stochastic Systems Develops mathematical tools of stochastic analysis and applies them to a wide range of physical models of particles, fluids and waves Includes problems for the reader to solve
Stochastic Dynamics Of Marine Structures
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Author : Arvid Naess
language : en
Publisher: Cambridge University Press
Release Date : 2013
Stochastic Dynamics Of Marine Structures written by Arvid Naess and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
For students and professionals, this covers theory and methods for stochastic modelling and analysis of marine structures under environmental loads.
Recent Development In Stochastic Dynamics And Stochastic Analysis
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Author :
language : en
Publisher:
Release Date :
Recent Development In Stochastic Dynamics And Stochastic Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Dynamics Of Stochastic Systems
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Author : Valery I. Klyatskin
language : en
Publisher: Elsevier
Release Date : 2005-03-17
Dynamics Of Stochastic Systems written by Valery I. Klyatskin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-17 with Science categories.
Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. The well known example of Brownian particle suspended in fluid and subjected to random molecular bombardment laid the foundation for modern stochastic calculus and statistical physics. Other important examples include turbulent transport and diffusion of particle-tracers (pollutants), or continuous densities (''oil slicks''), wave propagation and scattering in randomly inhomogeneous media, for instance light or sound propagating in the turbulent atmosphere. Such models naturally render to statistical description, where the input parameters and solutions are expressed by random processes and fields. The fundamental problem of stochastic dynamics is to identify the essential characteristics of system (its state and evolution), and relate those to the input parameters of the system and initial data. This raises a host of challenging mathematical issues. One could rarely solve such systems exactly (or approximately) in a closed analytic form, and their solutions depend in a complicated implicit manner on the initial-boundary data, forcing and system's (media) parameters . In mathematical terms such solution becomes a complicated "nonlinear functional" of random fields and processes. Part I gives mathematical formulation for the basic physical models of transport, diffusion, propagation and develops some analytic tools. Part II sets up and applies the techniques of variational calculus and stochastic analysis, like Fokker-Plank equation to those models, to produce exact or approximate solutions, or in worst case numeric procedures. The exposition is motivated and demonstrated with numerous examples. Part III takes up issues for the coherent phenomena in stochastic dynamical systems, described by ordinary and partial differential equations, like wave propagation in randomly layered media (localization), turbulent advection of passive tracers (clustering). Each chapter is appended with problems the reader to solve by himself (herself), which will be a good training for independent investigations. · This book is translation from Russian and is completed with new principal results of recent research. · The book develops mathematical tools of stochastic analysis, and applies them to a wide range of physical models of particles, fluids, and waves. · Accessible to a broad audience with general background in mathematical physics, but no special expertise in stochastic analysis, wave propagation or turbulence
Stochastic Dynamics And Irreversibility
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Author : Tânia Tomé
language : en
Publisher: Springer
Release Date : 2014-11-26
Stochastic Dynamics And Irreversibility written by Tânia Tomé and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-26 with Science categories.
This textbook presents an exposition of stochastic dynamics and irreversibility. It comprises the principles of probability theory and the stochastic dynamics in continuous spaces, described by Langevin and Fokker-Planck equations, and in discrete spaces, described by Markov chains and master equations. Special concern is given to the study of irreversibility, both in systems that evolve to equilibrium and in nonequilibrium stationary states. Attention is also given to the study of models displaying phase transitions and critical phenomena both in thermodynamic equilibrium and out of equilibrium. These models include the linear Glauber model, the Glauber-Ising model, lattice models with absorbing states such as the contact process and those used in population dynamic and spreading of epidemic, probabilistic cellular automata, reaction-diffusion processes, random sequential adsorption and dynamic percolation. A stochastic approach to chemical reaction is also presented.The textbook is intended for students of physics and chemistry and for those interested in stochastic dynamics. It provides, by means of examples and problems, a comprehensive and detailed explanation of the theory and its applications.
Stochastic Structural Dynamics
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Author : T. Ariaratnam
language : en
Publisher: CRC Press
Release Date : 2020-12-18
Stochastic Structural Dynamics written by T. Ariaratnam and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-18 with Mathematics categories.
This book contains a series of original contributions in the area of Stochastic Dynamics, which demonstrates the impact of Mike Lin's research and teaching in the area of random vibration and structural dynamics.
Stochastic Dynamic Lot Sizing In Supply Chains
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Author : Timo Jannis Hilger
language : en
Publisher: BoD – Books on Demand
Release Date : 2015-10-01
Stochastic Dynamic Lot Sizing In Supply Chains written by Timo Jannis Hilger and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-01 with Business & Economics categories.
Companies frequently operate in an uncertain environment and many real life production planning problems imply volatility and stochastics of the customer demands. Thereby, the determination of the lot-sizes and the production periods significantly affects the profitability of a manufacturing company and the service offered to the customers. This thesis provides practice-oriented formulations and variants of dynamic lot-sizing problems in presence of restricted production resources and demand uncertainty. The demand fulfillment is regulated by service level constraints. Additionally, integrated production and remanufacturing planning under demand and return uncertainty in closed-loop supply chains is addressed. This book offers introductions to these problems and presents approximation models that can be applied under uncertainty. Comprehensive numerical studies provide managerial implications. The book is written for practitioners interested in supply chain management and production as well as for lecturers and students in business studies with a focus on supply chain management and operations management.