Louis Komzsik - Böcker

Calculus of variations has a long history. Its fundamentals were laid down by icons of mathematics like Euler and Lagrange. It was once heralded as the panacea for all engineering optimization problems by suggesting that allone needed to do was to state a variational problem, apply the appropriate Euler-Lagrange equation and solve the resulting differential equation.This, as most all encompassing solutions, turned out to be not always true and the resulting differential equations are not necessarily easy to solve. On the other hand, many of the differential equations commonly used in various fields of engineering are derived from a variational problem. Hence it is an extremely important topic justifying the new edition of this book.This third edition extends the focus of the book to academia and supports both variational calculus and mathematical modeling classes. The newly added sections, extended explanations, numerous examples and exercises aid the students in learning, the professors in teaching, and the engineers in applying variational concepts.

This second edition includes eleven new sections based on the approximation of matrix functions, deflating the solution space and improving the accuracy of approximate solutions, iterative solution of initial value problems of systems of ordinary differential equations, and the method of trial functions for boundary value problems. The topics of the two new chapters are integral equations and mathematical optimization. The book provides alternative solutions to software tools amenable to hand computations to validate the results obtained by "black box" solvers. It also offers an insight into the mathematics behind many CAD, CAE tools of the industry. The book aims to provide a working knowledge of the various approximation techniques for engineering practice.

This book is divided into two distinct parts. The first part reviews the evolution of one of the most widely used numerical techniques in the industry. The development of the method, as it became more robust, is demonstrated through easy-to-understand algorithms. The second part contains industrial applications drawn from the author’s experience. These chapters provide a unique interaction between the numerical algorithms and their engineering applications.

Calculus of variations has a long history. Its fundamentals were laid down by icons of mathematics like Euler and Lagrange. It was once heralded as the panacea for all engineering optimization problems by suggesting that allone needed to do was to state a variational problem, apply the appropriate Euler-Lagrange equation and solve the resulting differential equation.This, as most all encompassing solutions, turned out to be not always true and the resulting differential equations are not necessarily easy to solve. On the other hand, many of the differential equations commonly used in various fields of engineering are derived from a variational problem. Hence it is an extremely important topic justifying the new edition of this book.This third edition extends the focus of the book to academia and supports both variational calculus and mathematical modeling classes. The newly added sections, extended explanations, numerous examples and exercises aid the students in learning, the professors in teaching, and the engineers in applying variational concepts.

Rotor dynamics is both a classical and a modern branch of engineering science. The rotation of rigid bodies, mainly those with regular shapes such as cylinders and shafts, has been well understood for more than a century. However, analyzing the rotational behavior of flexible bodies, especially those with irregular shapes like propellers and blades, requires more modern tools such as finite elements, hence the title and focus of this book.In the dozen years since the original publication, this book was used in teaching engineering students at universities and in consulting in the industry. During those activities, several topics were deemed to require further explanations. Students requested a deeper finite element technology foundation in certain places to make the book self‑contained in that regard also. Some desired more details about the computational and numerical solutions. These requests are answered in new sections of this edition. Practicing engineers asked for a detailed industrial application case study and such was added in a new chapter dealing with wind turbines.This book is composed of two parts, the first focusing on the theoretical foundation of rotor dynamics and the second focusing on the engineering analysis of industrial structures. The theoretical foundation is built on physics, calculus, and finite element technology chapters. Computational and numerical techniques provide free vibration and response analyses solutions. The industrial engineering analysis part contains chapters analyzing jet‑engine turbine wheels, aircraft propellers, and wind turbine blades. This book concludes with a new industrial case study based on a recent modern wind turbine development project.

This book is a concise, self-contained treatment of the finite element method and all the computational techniques needed for its efficient use and practical implementation. This book describes the process of transforming the physical problem into a mathematical model, the reduction of the mathematical model to a numerically solvable computational form, and many practical engineering analysis solution techniques applied in various industries.The first edition of this book was published in 2004, two decades ago. Since then, finite element analysis (FEA) has become a fundamental component of product development software tools (CAD, CAE, CAM) used in many industrial fields of engineering, particularly in mechanical and aerospace engineering. It has also become a popular text in computational science in engineering (CSE) and applied mathematics courses in academia, one of the reasons for the new edition.This new edition presents finite element solutions to advanced industrial applications in response to readers of the earlier editions. These are heat transfer, wave propagation, topology optimization, and fluid dynamics. These topics were requested both by engineering and applied mathematics students as well as practicing mechanical and aerospace engineers. It also contains the numerical solution of a structural example to aid the teaching of finite element analysis using this textbook.

This book is a concise, self-contained treatment of the finite element method and all the computational techniques needed for its efficient use and practical implementation. This book describes the process of transforming the physical problem into a mathematical model, the reduction of the mathematical model to a numerically solvable computational form, and many practical engineering analysis solution techniques applied in various industries.The first edition of this book was published in 2004, two decades ago. Since then, finite element analysis (FEA) has become a fundamental component of product development software tools (CAD, CAE, CAM) used in many industrial fields of engineering, particularly in mechanical and aerospace engineering. It has also become a popular text in computational science in engineering (CSE) and applied mathematics courses in academia, one of the reasons for the new edition.This new edition presents finite element solutions to advanced industrial applications in response to readers of the earlier editions. These are heat transfer, wave propagation, topology optimization, and fluid dynamics. These topics were requested both by engineering and applied mathematics students as well as practicing mechanical and aerospace engineers. It also contains the numerical solution of a structural example to aid the teaching of finite element analysis using this textbook.

For more than a century, we have had a firm grasp on rotor dynamics involving rigid bodies with regular shapes, such as cylinders and shafts. However, to achieve an equally solid understanding of the rotational behavior of flexible bodies—especially those with irregular shapes, such as propeller and turbine blades—we require more modern tools and methods.Computational Techniques of Rotor Dynamics with the Finite Element Method explores the application of practical finite element method (FEM)-based computational techniques and state-of-the-art engineering software. These are used to simulate behavior of rotational structures that enable the function of various types of machinery—from generators and wind turbines to airplane engines and propellers. The book’s first section focuses on the theoretical foundation of rotor dynamics, and the second concentrates on the engineering analysis of rotating structures. The authors explain techniques used in the modeling and computation of the forces involved in the rotational phenomenon. They then demonstrate how to interpret and apply the results to improve fidelity and performance. Coverage includes:Use of FEM to achieve the most accurate computational simulation of all gyroscopic forces occurring in rotational structuresDetails of highly efficient and accurate computational and numerical techniques for dynamic simulations Interpretation of computational results, which is instrumental to developing stable rotating machineryPractical application examples of rotational structures’ dynamic response to external and internal excitationsAn FEM case study that illustrates the computational complexities associated with modeling and computation of forces of rotor dynamicsAssessment of propellers and turbines that are critical to the transportation and energy industriesUseful to practicing engineers and graduate-level students alike, this self-contained volume also serves as an invaluable reference for researchers and instructors in this field.CRC Press Authors SpeakLouis Komzsik introduces you to two books that share a common mathematical foundation, the finite element analysis technique. Watch the video.

This second edition includes eleven new sections based on the approximation of matrix functions, deflating the solution space and improving the accuracy of approximate solutions, iterative solution of initial value problems of systems of ordinary differential equations, and the method of trial functions for boundary value problems. The topics of the two new chapters are integral equations and mathematical optimization. The book provides alternative solutions to software tools amenable to hand computations to validate the results obtained by "black box" solvers. It also offers an insight into the mathematics behind many CAD, CAE tools of the industry. The book aims to provide a working knowledge of the various approximation techniques for engineering practice.

For more than a century, we have had a firm grasp on rotor dynamics involving rigid bodies with regular shapes, such as cylinders and shafts. However, to achieve an equally solid understanding of the rotational behavior of flexible bodies—especially those with irregular shapes, such as propeller and turbine blades—we require more modern tools and methods.Computational Techniques of Rotor Dynamics with the Finite Element Method explores the application of practical finite element method (FEM)-based computational techniques and state-of-the-art engineering software. These are used to simulate behavior of rotational structures that enable the function of various types of machinery—from generators and wind turbines to airplane engines and propellers. The book’s first section focuses on the theoretical foundation of rotor dynamics, and the second concentrates on the engineering analysis of rotating structures. The authors explain techniques used in the modeling and computation of the forces involved in the rotational phenomenon. They then demonstrate how to interpret and apply the results to improve fidelity and performance. Coverage includes:Use of FEM to achieve the most accurate computational simulation of all gyroscopic forces occurring in rotational structuresDetails of highly efficient and accurate computational and numerical techniques for dynamic simulations Interpretation of computational results, which is instrumental to developing stable rotating machineryPractical application examples of rotational structures’ dynamic response to external and internal excitationsAn FEM case study that illustrates the computational complexities associated with modeling and computation of forces of rotor dynamicsAssessment of propellers and turbines that are critical to the transportation and energy industriesUseful to practicing engineers and graduate-level students alike, this self-contained volume also serves as an invaluable reference for researchers and instructors in this field.CRC Press Authors SpeakLouis Komzsik introduces you to two books that share a common mathematical foundation, the finite element analysis technique. Watch the video.