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Pitagora


Pitagora
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Scuola Di Pitagora


Scuola Di Pitagora
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Author : Vladimir Antonov
language : it
Publisher: Lulu.com
Release Date :

Scuola Di Pitagora written by Vladimir Antonov and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




La Sapienza Di Pitagora


La Sapienza Di Pitagora
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Author : Vincenzo Capparelli
language : it
Publisher: Edizioni Mediterranee
Release Date : 1988

La Sapienza Di Pitagora written by Vincenzo Capparelli and has been published by Edizioni Mediterranee this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Philosophy categories.






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Author :
language : en
Publisher: BoD – Books on Demand
Release Date :

written by and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Il Messaggio Di Pitagora


Il Messaggio Di Pitagora
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Author : Vincenzo Capparelli
language : it
Publisher: Edizioni Mediterranee
Release Date : 1990

Il Messaggio Di Pitagora written by Vincenzo Capparelli and has been published by Edizioni Mediterranee this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Philosophy categories.




Generalized Differential And Integral Quadrature


Generalized Differential And Integral Quadrature
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Author : Francesco Tornabene
language : en
Publisher: Società Editrice Esculapio
Release Date : 2023-10-17

Generalized Differential And Integral Quadrature written by Francesco Tornabene and has been published by Società Editrice Esculapio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-17 with Technology & Engineering categories.


The main aim of this book is to analyze the mathematical fundamentals and the main features of the Generalized Differential Quadrature (GDQ) and Generalized Integral Quadrature (GIQ) techniques. Furthermore, another interesting aim of the present book is to shown that from the two numerical techniques mentioned above it is possible to derive two different approaches such as the Strong and Weak Finite Element Methods (SFEM and WFEM), that will be used to solve various structural problems and arbitrarily shaped structures. A general approach to the Differential Quadrature is proposed. The weighting coefficients for different basis functions and grid distributions are determined. Furthermore, the expressions of the principal approximating polynomials and grid distributions, available in the literature, are shown. Besides the classic orthogonal polynomials, a new class of basis functions, which depend on the radial distance between the discretization points, is presented. They are known as Radial Basis Functions (or RBFs). The general expressions for the derivative evaluation can be utilized in the local form to reduce the computational cost. From this concept the Local Generalized Differential Quadrature (LGDQ) method is derived. The Generalized Integral Quadrature (GIQ) technique can be used employing several basis functions, without any restriction on the point distributions for the given definition domain. To better underline these concepts some classical numerical integration schemes are reported, such as the trapezoidal rule or the Simpson method. An alternative approach based on Taylor series is also illustrated to approximate integrals. This technique is named as Generalized Taylor-based Integral Quadrature (GTIQ) method. The major structural theories for the analysis of the mechanical behavior of various structures are presented in depth in the book. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. Generally speaking, two formulations of the same system of governing equations can be developed, which are respectively the strong and weak (or variational) formulations. Once the governing equations that rule a generic structural problem are obtained, together with the corresponding boundary conditions, a differential system is written. In particular, the Strong Formulation (SF) of the governing equations is obtained. The differentiability requirement, instead, is reduced through a weighted integral statement if the corresponding Weak Formulation (WF) of the governing equations is developed. Thus, an equivalent integral formulation is derived, starting directly from the previous one. In particular, the formulation in hand is obtained by introducing a Lagrangian approximation of the degrees of freedom of the problem. The need of studying arbitrarily shaped domains or characterized by mechanical and geometrical discontinuities leads to the development of new numerical approaches that divide the structure in finite elements. Then, the strong form or the weak form of the fundamental equations are solved inside each element. The fundamental aspects of this technique, which the author defined respectively Strong Formulation Finite Element Method (SFEM) and Weak Formulation Finite Element Method (WFEM), are presented in the book.



Anisotropic Doubly Curved Shells


Anisotropic Doubly Curved Shells
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Author : Francesco Tornabene
language : en
Publisher: Società Editrice Esculapio
Release Date : 2019-11-01

Anisotropic Doubly Curved Shells written by Francesco Tornabene and has been published by Società Editrice Esculapio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Technology & Engineering categories.


This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for the mechanical analysis of doubly-curved shell structures made of anisotropic and composite materials. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the structural behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs). In addition, several numerical applications are developed to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are presented, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. Finally, two numerical techniques, named Strong Formulation Finite Element Method (SFEM) and Weak Formulation Finite Element Method (WFEM), are developed to deal with multi-element domains characterized by arbitrary shapes and discontinuities.



Official Gazette Of The United States Patent And Trademark Office


Official Gazette Of The United States Patent And Trademark Office
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Author :
language : en
Publisher:
Release Date : 1993

Official Gazette Of The United States Patent And Trademark Office written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Trademarks categories.




Forms And Imaginings


Forms And Imaginings
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Author : Peter Dronke
language : en
Publisher: Ed. di Storia e Letteratura
Release Date : 2007

Forms And Imaginings written by Peter Dronke and has been published by Ed. di Storia e Letteratura this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Literary Criticism categories.




Mechanics Of Laminated Composite Doubly Curved Shell Structures


Mechanics Of Laminated Composite Doubly Curved Shell Structures
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Author : Francesco Tornabene
language : en
Publisher: Società Editrice Esculapio
Release Date : 2021-12-01

Mechanics Of Laminated Composite Doubly Curved Shell Structures written by Francesco Tornabene and has been published by Società Editrice Esculapio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-01 with Technology & Engineering categories.


This manuscript comes from the experience gained over ten years of study and research on shell structures and on the Generalized Differential Quadrature method. The title, Mechanics of Laminated Composite Doubly-Curved Shell Structures, illustrates the theme followed in the present volume. The present study aims to analyze the static and dynamic behavior of moderately thick shells made of composite materials through the application of the Differential Quadrature (DQ) technique. A particular attention is paid, other than fibrous and laminated composites, also to “Functionally Graded Materials” (FGMs). They are non-homogeneous materials, characterized by a continuous variation of the mechanical properties through a particular direction. The GDQ numerical solution is compared, not only with literature results, but also with the ones supplied and obtained through the use of different structural codes based on the Finite Element Method (FEM). Furthermore, an advanced version of GDQ method is also presented. This methodology is termed Strong Formulation Finite Element Method (SFEM) because it employs the strong form of the differential system of equations at the master element level and the mapping technique, proper of FEM. The connectivity between two elements is enforced through compatibility conditions.



La Sapienza Italica Vol I La Natura Secondo Pitagora Con Cenni Storici Su Pitagora E La Sua Scuola


La Sapienza Italica Vol I La Natura Secondo Pitagora Con Cenni Storici Su Pitagora E La Sua Scuola
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Author : Enrico Caporali
language : en
Publisher:
Release Date : 2017-11-29

La Sapienza Italica Vol I La Natura Secondo Pitagora Con Cenni Storici Su Pitagora E La Sua Scuola written by Enrico Caporali and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-29 with categories.


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