Sloshing In Upright Circular Containers

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Sloshing in Upright Circular Containers

Ihor Raynovskyy,Alexander Timokha
Sloshing in Upright Circular Containers Book PDF

Author : Ihor Raynovskyy,Alexander Timokha
Publisher : CRC Press
Page : 171 pages
File Size : 40,8 Mb
Release : 2020-10-07
Category : Mathematics
ISBN : 9781000209143

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Sloshing in Upright Circular Containers by Ihor Raynovskyy,Alexander Timokha Pdf

This book presents mathematical fundaments and results on sloshing in an upright circular cylindrical tank with semi-analytical solutions. The book outlines generic mathematical and physical aspects of the multimodal method, describes milestones, and presents several versions of modal systems for an upright circular tank, both linear and nonlinear. The book offers an extended description of the state-of-the-art theoretical sloshing with more than 200 references. It presents mathematical fundamentals of free-surface sloshing problems, details linear and nonlinear modal equations, provides analytical estimates of viscous damping, and covers stability analysis of steady-state solution. The book is for engineers dealing with sloshing, applied mathematicians working on free-surface problems, and lecturers in fluid mechanics that need to know the fundamentals and analytical solutions from surface wave theory.

Sloshing in Upright Circular Containers

Ihor Raynovskyy,Alexander Timokha
Sloshing in Upright Circular Containers Book PDF

Author : Ihor Raynovskyy,Alexander Timokha
Publisher : CRC Press
Page : 111 pages
File Size : 43,7 Mb
Release : 2020-10-08
Category : Technology & Engineering
ISBN : 9781000209266

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Sloshing in Upright Circular Containers by Ihor Raynovskyy,Alexander Timokha Pdf

This book presents mathematical fundaments and results on sloshing in an upright circular cylindrical tank with semi-analytical solutions. The book outlines generic mathematical and physical aspects of the multimodal method, describes milestones, and presents several versions of modal systems for an upright circular tank, both linear and nonlinear. The book offers an extended description of the state-of-the-art theoretical sloshing with more than 200 references. It presents mathematical fundamentals of free-surface sloshing problems, details linear and nonlinear modal equations, provides analytical estimates of viscous damping, and covers stability analysis of steady-state solution. The book is for engineers dealing with sloshing, applied mathematicians working on free-surface problems, and lecturers in fluid mechanics that need to know the fundamentals and analytical solutions from surface wave theory.

Liquid Sloshing Dynamics

Raouf A. Ibrahim
Liquid Sloshing Dynamics Book PDF

Author : Raouf A. Ibrahim
Publisher : Unknown
Page : 972 pages
File Size : 48,9 Mb
Release : 2005-09
Category : Science
ISBN : 9780511123641

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Liquid Sloshing Dynamics by Raouf A. Ibrahim Pdf

This book deals with almost every aspect of liquid sloshing dynamics.

Recent Trends in Applied Nonlinear Mechanics and Physics

Mohamed Belhaq
Recent Trends in Applied Nonlinear Mechanics and Physics Book PDF

Author : Mohamed Belhaq
Publisher : Springer
Page : 278 pages
File Size : 43,6 Mb
Release : 2017-11-13
Category : Science
ISBN : 9783319639376

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Recent Trends in Applied Nonlinear Mechanics and Physics by Mohamed Belhaq Pdf

This book presents contributions on the most active lines of recent advanced research in the field of nonlinear mechanics and physics selected from the 4th International Conference on Structural Nonlinear Dynamics and Diagnosis. It includes fifteen chapters by outstanding scientists, covering various aspects of applications, including road tanker dynamics and stability, simulation of abrasive wear, energy harvesting, modeling and analysis of flexoelectric nanoactuator, periodic Fermi–Pasta–Ulam problems, nonlinear stability in Hamiltonian systems, nonlinear dynamics of rotating composites, nonlinear vibrations of a shallow arch, extreme pulse dynamics in mode-locked lasers, localized structures in a photonic crystal fiber resonator, nonlinear stochastic dynamics, linearization of nonlinear resonances, treatment of a linear delay differential equation, and fractional nonlinear damping. It appeals to a wide range of experts in the field of structural nonlinear dynamics and offers researchers and engineers an introduction to the challenges posed by nonlinearities in the development of these topics

Recent Advances in Energy Technologies

N. Lakshmi Narasimhan,Mahmoud Bourouis,Vasudevan Raghavan
Recent Advances in Energy Technologies Book PDF

Author : N. Lakshmi Narasimhan,Mahmoud Bourouis,Vasudevan Raghavan
Publisher : Springer Nature
Page : 669 pages
File Size : 50,5 Mb
Release : 2022-09-29
Category : Technology & Engineering
ISBN : 9789811934674

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Recent Advances in Energy Technologies by N. Lakshmi Narasimhan,Mahmoud Bourouis,Vasudevan Raghavan Pdf

This book presents the select proceedings of the first International Conference on Energy and Materials Technologies (ICEMT) 2021, organized by the Department of Mechanical Engineering, Sri Sivasubramaniya Nadar College of Engineering, Kalavakkam, India. It covers the recent technologies in two broad thematic areas: energy and materials. Various topics covered in this book include hybrid energy, advanced energy systems, energy management, energy policy, geothermal, nuclear energy, bio-energy, waste to energy, power plants, and automotives. The book will be useful for students, researchers, and professionals in the area of mechanical engineering, especially various domains of energy.

14th Chaotic Modeling and Simulation International Conference

Christos H. Skiadas,Yiannis Dimotikalis
14th Chaotic Modeling and Simulation International Conference Book PDF

Author : Christos H. Skiadas,Yiannis Dimotikalis
Publisher : Springer Nature
Page : 560 pages
File Size : 47,9 Mb
Release : 2022-06-13
Category : Science
ISBN : 9783030969646

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14th Chaotic Modeling and Simulation International Conference by Christos H. Skiadas,Yiannis Dimotikalis Pdf

Gathering the proceedings of the 14th CHAOS2021 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies. Chapter "On the Origin of the Universe: Chaos or Cosmos" is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com

Nonlinear Mechanics of Complex Structures

Holm Altenbach,Marco Amabili,Yuri V. Mikhlin
Nonlinear Mechanics of Complex Structures Book PDF

Author : Holm Altenbach,Marco Amabili,Yuri V. Mikhlin
Publisher : Springer Nature
Page : 476 pages
File Size : 43,5 Mb
Release : 2021-07-29
Category : Science
ISBN : 9783030758905

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Nonlinear Mechanics of Complex Structures by Holm Altenbach,Marco Amabili,Yuri V. Mikhlin Pdf

This book covers different topics of nonlinear mechanics in complex structures, such as the appearance of new nonlinear phenomena and the behavior of finite-dimensional and distributed nonlinear systems, including numerous systems directly connected with important technological problems.

Nonlinear Dynamics

Ivan A. Lukovsky
Nonlinear Dynamics Book PDF

Author : Ivan A. Lukovsky
Publisher : Walter de Gruyter GmbH & Co KG
Page : 410 pages
File Size : 51,9 Mb
Release : 2015-04-24
Category : Mathematics
ISBN : 9783110316575

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Nonlinear Dynamics by Ivan A. Lukovsky Pdf

This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities (containers) partly filled by a liquid. The methods are normally based on the Bateman-Luke variational formalism combined with perturbation theory. The derived approximate equations of spatial motions of the body-liquid mechanical system (these equations are called mathematical models in the title) take the form of a finite-dimensional system of nonlinear ordinary differential equations coupling quasi-velocities of the rigid body motions and generalized coordinates responsible for displacements of the natural sloshing modes. Algorithms for computing the hydrodynamic coefficients in the approximate mathematical models are proposed. Numerical values of these coefficients are listed for some tank shapes and liquid fillings. The mathematical models are also derived for the contained liquid characterized by the Newton-type dissipation. Formulas for hydrodynamic force and moment are derived in terms of the solid body quasi-velocities and the sloshing-related generalized coordinates. For prescribed harmonic excitations of upright circular (annular) cylindrical and/or conical tanks, the steady-state sloshing regimes are theoretically classified; the results are compared with known experimental data. The book can be useful for both experienced and early-stage mechanicians, applied mathematicians and engineers interested in (semi-)analytical approaches to the “fluid-structure” interaction problems, their fundamental mathematical background as well as in modeling the dynamics of complex mechanical systems containing a rigid tank partly filled by a liquid.

Advances in Mechanical and Power Engineering

Holm Altenbach,Alexander H.-D. Cheng,Xiao-Wei Gao,Аndrii Kostikov,Wladyslaw Kryllowicz,Piotr Lampart,Viktor Popov,Andrii Rusanov,Stavros Syngellakis
Advances in Mechanical and Power Engineering Book PDF

Author : Holm Altenbach,Alexander H.-D. Cheng,Xiao-Wei Gao,Аndrii Kostikov,Wladyslaw Kryllowicz,Piotr Lampart,Viktor Popov,Andrii Rusanov,Stavros Syngellakis
Publisher : Springer Nature
Page : 390 pages
File Size : 51,5 Mb
Release : 2022-11-25
Category : Technology & Engineering
ISBN : 9783031184871

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Advances in Mechanical and Power Engineering by Holm Altenbach,Alexander H.-D. Cheng,Xiao-Wei Gao,Аndrii Kostikov,Wladyslaw Kryllowicz,Piotr Lampart,Viktor Popov,Andrii Rusanov,Stavros Syngellakis Pdf

This book covers theoretical and experimental findings at the interface between fluid mechanics, heat transfer and energy technologies. It reports on the development and improvement of numerical methods and intelligent technologies for a wide range of applications in mechanical, power and materials engineering. It reports on solutions to modern fluid mechanics and heat transfer problems, on strategies for studying and improving the dynamics and durability of power equipment, discussing important issues relating to energy saving and environmental safety. Gathering selected contributions to the XIV International Conference on Advanced Mechanical and Power Engineering (CAMPE 2021), held online on October 18-21, 2021, from Kharkiv, Ukraine, this book offers a timely update and extensive information for both researchers and professionals in the field of mechanical and power engineering.

Numerical Methods for Fractal-Fractional Differential Equations and Engineering

Muhammad Altaf Khan,Abdon Atangana
Numerical Methods for Fractal Fractional Differential Equations and Engineering Book PDF

Author : Muhammad Altaf Khan,Abdon Atangana
Publisher : CRC Press
Page : 432 pages
File Size : 42,8 Mb
Release : 2023-05-16
Category : Technology & Engineering
ISBN : 9781000874815

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Numerical Methods for Fractal-Fractional Differential Equations and Engineering by Muhammad Altaf Khan,Abdon Atangana Pdf

This book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. The methods used, their convergence, stability, and error analysis are given, and this is the first book to offer mathematical modeling and simulations of chaotic problems with a wide range of fractal-fractional operators, to find solutions. Numerical Methods for Fractal-Fractional Differential Equations and Engineering: Simulations and Modeling provides details for stability, convergence, and analysis along with numerical methods and their solution procedures for fractal-fractional operators. The book offers applications to chaotic problems and simulations using multiple fractal-fractional operators and concentrates on models that display chaos. The book details how these systems can be predictable for a while and then can appear to become random. Practitioners, engineers, researchers, and senior undergraduate and graduate students from mathematics and engineering disciplines will find this book of interest._

Special Functions in Fractional Calculus and Engineering

Harendra Singh,H M Srivastava,R. K. Pandey
Special Functions in Fractional Calculus and Engineering Book PDF

Author : Harendra Singh,H M Srivastava,R. K. Pandey
Publisher : CRC Press
Page : 315 pages
File Size : 43,8 Mb
Release : 2023-06-29
Category : Technology & Engineering
ISBN : 9781000899757

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Special Functions in Fractional Calculus and Engineering by Harendra Singh,H M Srivastava,R. K. Pandey Pdf

Special functions play a very important role in solving various families of ordinary and partial differential equations as well as their fractional-order analogs, which model real-life situations. Owing to the non-local nature and memory effect, fractional calculus is capable of modeling many situations which arise in engineering. This book includes a collection of related topics associated with such equations and their relevance and significance in engineering. Special Functions in Fractional Calculus and Engineering highlights the significance and applicability of special functions in solving fractional-order differential equations with engineering applications. This book focuses on the non-local nature and memory effect of fractional calculus in modeling relevant to engineering science and covers a variety of important and useful methods using special functions for solving various types of fractional-order models relevant to engineering science. This book goes on to illustrate the applicability and usefulness of special functions by justifying their numerous and widespread occurrences in the solution of fractional-order differential, integral, and integrodifferential equations. This book holds a wide variety of interconnected fundamental and advanced topics with interdisciplinary applications that combine applied mathematics and engineering sciences, which are useful to graduate students, Ph.D. scholars, researchers, and educators interested in special functions, fractional calculus, mathematical modeling, and engineering.

Advanced Numerical Methods for Differential Equations

Harendra Singh,Jagdev Singh,Sunil Dutt Purohit,Devendra Kumar
Advanced Numerical Methods for Differential Equations Book PDF

Author : Harendra Singh,Jagdev Singh,Sunil Dutt Purohit,Devendra Kumar
Publisher : CRC Press
Page : 245 pages
File Size : 45,8 Mb
Release : 2021-06-25
Category : Mathematics
ISBN : 9781000381115

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Advanced Numerical Methods for Differential Equations by Harendra Singh,Jagdev Singh,Sunil Dutt Purohit,Devendra Kumar Pdf

Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models. This book offers real-life applications, includes research problems on numerical treatment, and shows how to develop the numerical methods for solving problems. The book also covers theory and applications in engineering and science. Engineers, mathematicians, scientists, and researchers working on real-life mathematical problems will find this book useful.

Engineering Mathematics and Artificial Intelligence

Herb Kunze,Davide La Torre,Adam Riccoboni,Manuel Ruiz Galán
Engineering Mathematics and Artificial Intelligence Book PDF

Author : Herb Kunze,Davide La Torre,Adam Riccoboni,Manuel Ruiz Galán
Publisher : CRC Press
Page : 717 pages
File Size : 44,7 Mb
Release : 2023-07-26
Category : Technology & Engineering
ISBN : 9781000907896

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Engineering Mathematics and Artificial Intelligence by Herb Kunze,Davide La Torre,Adam Riccoboni,Manuel Ruiz Galán Pdf

The fields of Artificial Intelligence (AI) and Machine Learning (ML) have grown dramatically in recent years, with an increasingly impressive spectrum of successful applications. This book represents a key reference for anybody interested in the intersection between mathematics and AI/ML and provides an overview of the current research streams. Engineering Mathematics and Artificial Intelligence: Foundations, Methods, and Applications discusses the theory behind ML and shows how mathematics can be used in AI. The book illustrates how to improve existing algorithms by using advanced mathematics and offers cutting-edge AI technologies. The book goes on to discuss how ML can support mathematical modeling and how to simulate data by using artificial neural networks. Future integration between ML and complex mathematical techniques is also highlighted within the book. This book is written for researchers, practitioners, engineers, and AI consultants.

Topics in Contemporary Mathematical Analysis and Applications

Hemen Dutta
Topics in Contemporary Mathematical Analysis and Applications Book PDF

Author : Hemen Dutta
Publisher : CRC Press
Page : 339 pages
File Size : 53,6 Mb
Release : 2020-12-22
Category : Mathematics
ISBN : 9781000204216

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Topics in Contemporary Mathematical Analysis and Applications by Hemen Dutta Pdf

Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. The readers will find developments concerning the topics presented to a reasonable extent with various new problems for further study. Each chapter carefully presents the related problems and issues, methods of solutions, and their possible applications or relevancies in other scientific areas. Aims at enriching the understanding of methods, problems, and applications Offers an understanding of research problems by presenting the necessary developments in reasonable details Discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems This book is written for individual researchers, educators, students, and department libraries.

Applied Mathematical Analysis: Theory, Methods, and Applications

Hemen Dutta,James F. Peters
Applied Mathematical Analysis Theory Methods and Applications Book PDF

Author : Hemen Dutta,James F. Peters
Publisher : Springer
Page : 810 pages
File Size : 50,9 Mb
Release : 2019-02-21
Category : Technology & Engineering
ISBN : 9783319999180

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Applied Mathematical Analysis: Theory, Methods, and Applications by Hemen Dutta,James F. Peters Pdf

This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications.