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This book explains uncertainty analysis for finite elements and general nonlinear problems. It starts with the fundamentals of the topic and progresses to complex methods through 9 chapters. Each chapter focuses on a specific, relevant topic and provides information in a structured reading format for advanced learners. The author explains different models relevant to the topic where applicable, in an effort to cover the diverse aspects of mathematical analysis.
Topics covered in the book include:
Nonlinear stochastic finite element methods
Reliability calculations
Static analysis of interval finite element
Linear and nonlinear vibration analysis
Stochastic, random, fuzzy and mixed fields
Mixed finite element analysis
Uncertainty Analysis in Finite Elements Models is an ideal reference for advanced courses in mathematical analysis and engineering that require students to understand the basics of uncertainty analysis and basic reliability calculations.
Preface
Nonlinear Stochastic Finite Element Method
Reliability Calculation of Stochastic Finite Element
Fuzzy Reliability Calculation Based on StochasticFinite Element
Static Analysis of Interval Finite Element
Interval Finite Element for Linear Vibration
Nonlinear Interval Finite Element
Nonlinear Vibration Analysis of Interval FiniteElement
Random Field, Interval Field, Fuzzy Field andMixed Field
Mixed Finite Element
Subject Index
Back Cover