Finite Elements for Truss and Frame Structures : An Introduction Based on the Computer Algebra System Maxima
Öchsner, Andreas.
Finite Elements for Truss and Frame Structures : An Introduction Based on the Computer Algebra System Maxima by Andreas Öchsner, Resam Makvandi. - 1 recurso en línea (XIV, 119 páginas) 33 ilustraciones, 4 ilustraciones a color - Engineering (Springer-11647) SpringerBriefs in Computational Mechanics 2191-5342 .
Introduction -- Maxima - A Computer Algebra System -- Rods and Trusses -- Euler-Bernoulli Beams and Frames -- Timoshenko Beams and Frames -- Maxima Source Codes.
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. .
9783319949413
10.1007/978-3-319-94941-3 doi
Método de elementos finitos
TA347.F5 / 2019 EB
Finite Elements for Truss and Frame Structures : An Introduction Based on the Computer Algebra System Maxima by Andreas Öchsner, Resam Makvandi. - 1 recurso en línea (XIV, 119 páginas) 33 ilustraciones, 4 ilustraciones a color - Engineering (Springer-11647) SpringerBriefs in Computational Mechanics 2191-5342 .
Introduction -- Maxima - A Computer Algebra System -- Rods and Trusses -- Euler-Bernoulli Beams and Frames -- Timoshenko Beams and Frames -- Maxima Source Codes.
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. .
9783319949413
10.1007/978-3-319-94941-3 doi
Método de elementos finitos
TA347.F5 / 2019 EB