Uncertainty is an inseparable component of almost every measurement and occurrence when dealing with real-world problems. Finding solutions to real-life problems in an uncertain environment is a difficult and challenging task. As such, this book addresses the solution of uncertain static and dynamic problems based on affine arithmetic approaches. Affine arithmetic is one of the recent developments designed to handle such uncertainties in a different manner which may be useful for overcoming the dependency problem and may compute better enclosures of the solutions. Further, uncertain static and dynamic problems turn into interval and/or fuzzy linear/nonlinear systems of equations and eigenvalue problems, respectively. Accordingly, this book includes newly developed efficient methods to handle the said problems based on the affine and interval/fuzzy approach. Various illustrative examples concerning static and dynamic problems of structures have been investigated in order to showthe reliability and efficacy of the developed approaches.

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Dr. Snehashish Chakraverty works in the Department of Mathematics (Applied Mathematics Group), National Institute of Technology Rourkela, Odisha, as a Senior (Higher Administrative Grade) Professor and is also the Dean of Student Welfare of the institute since November 2019. He received his Ph.D. from IIT Roorkee in 1992. Then he did post-doctoral research at ISVR, University of Southampton, U.K., and at Concordia University, Canada. He was a visiting professor at Concordia and McGill Universities, Canada, and University of Johannesburg, South Africa. Prof. Chakraverty has authored 17 books and published approximately 345 research papers in journals and conferences. He was the President of the Section of Mathematical Sciences (including Statistics) of Indian Science Congress (2015-2016) and was the Vice President-Orissa Mathematical Society (2011-2013). Prof. Chakraverty is a recipient of prestigious awards viz. INSA International Bilateral Exchange Program, Platinum Jubilee ISCA Lecture, CSIR Young Scientist, BOYSCAST, UCOST Young Scientist, Golden Jubilee CBRI Director's Award, Roorkee University gold Medals and more. He has undertaken17 research projects as Principal Investigator funded by different agencies totaling about Rs.1.6 crores. Prof. Chakraverty is the Chief Editor of International Journal of Fuzzy Computation and Modelling (IJFCM), Inderscience Publisher, Switzerland, Associate Editor of Computational Methods in Structural Engineering, Frontiers in Built Environment, and an Editorial Board member of Springer Nature Applied Sciences, IGI Research Insights Books, Springer Book Series of Modeling and Optimization in Science andTechnologies, Coupled Systems Mechanics (Techno Press), Curved and Layered Structures (De Gruyter), Journal of Composites Science (MDPI), Engineering Research Express (IOP), Applications and Applied Mathematics: An International Journal, and Computational Engineering and Physical Modeling (Pouyan Press). His present research area includes Differential Equations (Ordinary, Partial, and Fractional), Numerical Analysis and Computational Methods, Structural Dynamics (FGM, Nano), and Fluid Dynamics, Mathematical Modeling and Uncertainty Modeling, and Soft Computing and Machine Intelligence (Artificial Neural Network, Fuzzy, Interval and Affine Computations).Rajarama Mohan Jena is currently working as a Senior Research Fellow at the Department of Mathematics, National Institute of Technology Rourkela, India. He is an INSPIRE (Innovation in Science Pursuit for Inspired Research) fellow of the Department of Science of Technology, Ministry of Science and Technology, Government of India, and doing his research under this fellowship. Rajarama does research in Fractional Dynamical Systems, Applied Mathematics, Computational Methods, Numerical Analysis, Partial Differential Equations, Fractional Differential Equations, Uncertainty Modeling, and Soft Computing, and so on. He has published 12 research papers in journals, two conference papers, and one book chapter. Rajarama has also served as a reviewer for various international journals. He has been continuing collaborative works with renowned researchers from Turkey, Canada, Iran, Egypt, Nigeria, United Kingdom, and other countries.Subrat Kumar Jena is currently working as a Research Fellow at the Department of Mathematics, National Institute of Technology Rourkela, India. He is also working in a Defence Researc hand Development Organisation (DRDO)-sponsored project entitled ""Vibrations of Functionally Graded Nanostructural Members"" in collaboration with Defence Metallurgical Research Laboratory (DMRL) Lab, Hyderabad. Subrat does research in Structural Dynamics, Nano Vibration, Applied Mathematics, Computational Methods, and Numerical Analysis, Uncertainty Modeling, Soft Computing, and other areas. He has published 16 research papers (till date) in journals, 5 conference papers, and 5 book chapters. He has also served as the reviewer forv

Inhalt
Preface.- Acknowledgments.- Introduction.- Preliminaries.- Affine Arithmetic.- Fuzzy-Affine Arithmetic.- Uncertain Static Problems.- Uncertain Linear Dynamic Problems.- Uncertain Nonlinear Dynamic Problems.- Authors' Biographies.