Название: Uncertain Analysis in Finite Elements Models
Автор: Wenhui Mo
Издательство: Bentham Books
Год: 2022
Страниц: 178
Язык: английский
Формат: pdf (true)
Размер: 15.9 MB

There are three kinds of uncertainties in engineering problems. One is randomness, the second is fuzziness, and the third is non probability. Sometimes, the impact of uncertainty on engineering problems can not be ignored. Uncertainty has a great impact on buildings, dams, nuclear power plants, bridges, aircraft, machinery, vehicles, warship, etc. The material properties, geometry parameters and loads of the structure are assumed to be random, fuzzy and non probabilistic.

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.