Resam Makvandi's Books

Numerical Engineering Optimization

Application of the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

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Numerical Engineering Optimization

Application of the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

This study aid on numerical optimization techniques is intended for university undergraduate and postgraduate mechanical engineering students. Optimization procedures are becoming more and more important for lightweight design, where weight reduction can, for example in the case of automotive or aerospace industry, lead to lower fuel consumption and a corresponding reduction in operational costs as well as beneficial effects on the environment. Based on the free computer algebra system Maxima, the authors present procedures for numerically solving problems in engineering mathematics as well as applications taken from traditional courses on the strength of materials. The mechanical theories focus on the typical one-dimensional structural elements, i.e., springs, bars, and Euler–Bernoulli beams, in order to reduce the complexity of the numerical framework and limit the resulting design to a low number of variables. The use of a computer algebra system and the incorporated functions, e.g., for derivatives or equation solving, allows a greater focus on the methodology of the optimization methods and not on standard procedures. The book also provides numerous examples, including some that can be solved using a graphical approach to help readers gain a better understanding of the computer implementation.

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Page Count

232

Publisher

Springer Nature

Published Date

ISBN 10

3030433889

ISBN 13

9783030433888

Finite Elements Using Maxima

Theory and Routines for Rods and Beams

By: Andreas Öchsner,Resam Makvandi

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Finite Elements Using Maxima

Theory and Routines for Rods and Beams

By: Andreas Öchsner,Resam Makvandi

This book provides a study aid on the finite element method. Based on the free computer algebra system “Maxima”, it presents routines to symbolically or numerically solve problems in the context of plane truss and frame structures. This allows readers to not only check classical “hand calculations” but also understand the computer implementation of the method. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams as well as their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework and the resulting matrix equations can still be displayed with all components, and not only in a symbolic representation. The use of a computer algebra system and the incorporated functions, e.g. for equation solving, highlights the methodology of the finite element method rather than standard procedures. The book is based on the Springer Brief “Finite Elements for Truss and Frame Structures” (978-3-319-94940-6) by the same authors.

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Page Count

263

Publisher

Springer

Published Date

ISBN 10

303017199X

ISBN 13

9783030171995

Plane Finite Elements for Two-Dimensional Problems

Application of the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

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Plane Finite Elements for Two-Dimensional Problems

Application of the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

This book is intended as a study aid for the finite element method. Based on the free computer algebra system Maxima, we offer routines to symbolically or numerically solve problems from the context of two-dimensional problems. For this rather advanced topic, classical ‘hand calculations’ are difficult to perform and the incorporation of a computer algebra system is a convenient approach to handle, for example, larger matrix operations. The mechanical theories focus on the classical two-dimensional structural elements, i.e., plane elements, thin or classical plates, and thick or shear deformable plate elements. The use of a computer algebra system and the incorporated functions, e.g., for matrix operations, allows to focus more on the methodology of the finite element method and not on standard procedures. Furthermore, we offer a graphical user interface (GUI) to facilitate the model definition. Thus, the user may enter the required definitions in a source code manner directly in wxMaxima or use the GUI which is able to execute wxMaxime to perform the calculations.

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Page Count

257

Publisher

Springer Nature

Published Date

ISBN 10

3030895505

ISBN 13

9783030895501

Finite Elements for Truss and Frame Structures

An Introduction Based on the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

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Finite Elements for Truss and Frame Structures

An Introduction Based on the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

This book is intended as an essential study aid for the finite element method. Based on the free computer algebra system Maxima, the authors offer routines for symbolically or numerically solving problems in the context of plane truss and frame structures, allowing readers to check classical ‘hand calculations’ on the one hand and to understand the computer implementation of the method on the other. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams, and their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework, and the resulting matrix equations can be displayed with all components and not merely in the form of a symbolic representation. In addition, the use of a computer algebra system and the incorporated functions, e.g. for equation solving, allows readers to focus more on the methodology of the finite element method and not on standard procedures.

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Page Count

129

Publisher

Springer

Published Date

ISBN 10

3319949411

ISBN 13

9783319949413

A Numerical Approach to the Classical Laminate Theory of Composite Materials

The Composite Laminate Analysis Tool—CLAT v2.0

By: Andreas Öchsner,Resam Makvandi

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A Numerical Approach to the Classical Laminate Theory of Composite Materials

The Composite Laminate Analysis Tool—CLAT v2.0

By: Andreas Öchsner,Resam Makvandi

This book first provides a systematic and thorough introduction to the classical laminate theory for composite materials based on the theory for plane elasticity elements and classical (shear-rigid) plate elements. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations and their composition to layered laminates. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill, and the Tsai-Wu criteria. The solution of the fundamental equations of the classical laminate theory is connected with extensive matrix operations, and many problems require in addition iteration loops. Thus, a classical hand calculation of related problems is extremely time consuming. In order to facilitate the application of the classical laminate theory, we decided to provide a Python-based computational tool, the so-called Composite Laminate Analysis Tool (CLAT) to easily solve some standard questions from the context of fiber-reinforced composites. The tool runs in any standard web browser and offers a user-friendly interface with many post-processing options. The functionality comprises stress and strain analysis of lamina and laminates, derivation of off-axis elastic properties of lamina, and the failure analysis based on different criteria.

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Page Count

181

Publisher

Springer Nature

Published Date

ISBN 10

3031329759

ISBN 13

9783031329753

Finite Elements for Truss and Frame Structures

An Introduction Based on the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

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Finite Elements for Truss and Frame Structures

An Introduction Based on the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

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Page Count

129

Publisher

Springer

Published Date

ISBN 10

3319949411

ISBN 13

9783319949413

A Numerical Approach to the Classical Laminate Theory of Composite Materials

The Composite Laminate Analysis Tool—CLAT v2.0

By: Andreas Öchsner,Resam Makvandi

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A Numerical Approach to the Classical Laminate Theory of Composite Materials

The Composite Laminate Analysis Tool—CLAT v2.0

By: Andreas Öchsner,Resam Makvandi

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Solve jigsaw puzzle

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Page Count

181

Publisher

Springer Nature

Published Date

ISBN 10

3031329759

ISBN 13

9783031329753

Finite Elements Using Maxima

Theory and Routines for Rods and Beams

By: Andreas Öchsner,Resam Makvandi

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Finite Elements Using Maxima

Theory and Routines for Rods and Beams

By: Andreas Öchsner,Resam Makvandi

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Solve jigsaw puzzle

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Page Count

263

Publisher

Springer

Published Date

ISBN 10

303017199X

ISBN 13

9783030171995

Plane Finite Elements for Two-Dimensional Problems

Application of the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

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Plane Finite Elements for Two-Dimensional Problems

Application of the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

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Solve jigsaw puzzle

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Page Count

257

Publisher

Springer Nature

Published Date

ISBN 10

3030895505

ISBN 13

9783030895501

Numerical Engineering Optimization

Application of the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

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Numerical Engineering Optimization

Application of the Computer Algebra System Maxima

By: Andreas Öchsner,Resam Makvandi

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Solve jigsaw puzzle

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Page Count

232

Publisher

Springer Nature

Published Date

ISBN 10

3030433889

ISBN 13

9783030433888

Book's by Resam Makvandi

Numerical Engineering Optimization

Numerical Engineering Optimization

Finite Elements Using Maxima

Finite Elements Using Maxima

Plane Finite Elements for Two-Dimensional Problems

Plane Finite Elements for Two-Dimensional Problems

Finite Elements for Truss and Frame Structures

Finite Elements for Truss and Frame Structures

A Numerical Approach to the Classical Laminate Theory of Composite Materials

A Numerical Approach to the Classical Laminate Theory of Composite Materials

Finite Elements for Truss and Frame Structures

Finite Elements for Truss and Frame Structures

A Numerical Approach to the Classical Laminate Theory of Composite Materials

A Numerical Approach to the Classical Laminate Theory of Composite Materials

Finite Elements Using Maxima

Finite Elements Using Maxima

Plane Finite Elements for Two-Dimensional Problems

Plane Finite Elements for Two-Dimensional Problems

Numerical Engineering Optimization

Numerical Engineering Optimization

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