[PDF] A Theory Of Latticed Plates And Shells eBook

Author : G. I. Pshenichnov
Publisher : World Scientific
Page : 332 pages
File Size : 33,98 MB
Release : 1993
Category : Technology & Engineering
ISBN : 9789810210496

GET BOOK

The book presents the theory of latticed shells as continual systems and describes its applications. It analyses the problems of statics, stability and dynamics. Generally, a classical rod deformation theory is applied. However, in some instances, more precise theories which particularly consider geometrical and physical nonlinearity are employed. A new effective method for solving general boundary value problems and its application for numerical and analytical solutions of mathematical physics and reticulated shell theory problems is described. A new method of solving the shell theory's nonlinear problems, substantially simplifying the existing algorithms is given. Questions of optimum design are discussed. Some of the findings are generalized and extended to edged and composite systems. The results of the solutions of a wide range of pressing problems are presented.

Author : Eduard Ventsel
Publisher : CRC Press
Page : 683 pages
File Size : 35,80 MB
Release : 2001-08-24
Category : Mathematics
ISBN : 0203908724

GET BOOK

Presenting recent principles of thin plate and shell theories, this book emphasizes novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, new theories for the design and analysis of thin plate-shell structures, and real-world numerical solutions, mechanics, and plate and shell models for engineering applications. It includes computer processes for finite difference, finite element, boundary element, and boundary collocation methods as well as other variational and numerical methods. It also contains end-of-chapter examples and problem/solution sets, a catalog of solutions for cylindrical and spherical shells, and tables of the most commonly used plates and shells.

Author : Maan H. Jawad
Publisher : Springer
Page : 423 pages
File Size : 28,47 MB
Release : 1994
Category : Nature
ISBN : 9780412981814

GET BOOK

This is the first book to integrate the theory, design, and stability analysis of plates and shells in one comprehensive volume. With authoritative accounts of diverse aspects of plates and shells, this volume facilitates the study and design of structures that incorporate both plate and shell components.

Author : Christian Mittelstedt
Publisher : Springer Nature
Page : 583 pages
File Size : 46,75 MB
Release : 2023-06-18
Category : Science
ISBN : 366266805X

GET BOOK

This book deals with the analysis of plates and shells and is divided into four sections. After briefly introducing the basics of elasticity theory and the energy methods of elastostatics in the first section, the second section is devoted to the statics of disk structures. In addition to isotropic disks in Cartesian and polar coordinates, approximation methods and anisotropic disks are also discussed. The following third section deals with plate structures, covering plates in Cartesian and polar coordinates, and also discussing approximation methods and higher-order plate theories. Other chapters in this section discuss plate buckling as well as geometric nonlinear analysis and laminated plates. The fourth and final section of this book is devoted to shells, i.e., curved thin structures, following the common division into membrane theory on the one hand and bending theory on the other hand. This book is intended for students at universities, but also for engineers in practice and researchers in engineering science.

Author : Reinhold Kienzler
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 25,87 MB
Release : 2013-06-01
Category : Science
ISBN : 3540399054

GET BOOK

Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.

Author : Francesco Tornabene
Publisher : Società Editrice Esculapio
Page : 788 pages
File Size : 26,80 MB
Release : 2016-05-17
Category : Technology & Engineering
ISBN : 8874889577

GET BOOK

The title, “Laminated Composite Doubly-Curved Shell Structures. Differential al Geometry and Higher-order Theories” illustrates the theme treated and the prospective followed during the composition of the present work. The aim of this manuscript is to analyze the static and dynamic behavior of thick and moderately thick composite shells through the application of the Differential Quadrature (DQ) method. The book is divided into two volumes wherein the principal higher order structural theories are illustrated in detail and the mechanical behavior of doubly-curved structures are presented by several static and dynamic numerical applications. In particular, the first volume is mainly theoretical, whereas the second one is mainly related to the numerical DQ technique and its applications in the structural field. The starting point to analyze higher-order structural theories is given by the so-called Unified Formulation (UF), which allows to consider and study several kinematic models in a unified manner. Both the Equivalent Single Layer (ESL) and Layer-Wise (LW) approaches are presented. A particular attention is paid to composite materials, due to their increasing development and use in many engineering fields during the last years.

Author : Francesco Tornabene
Publisher : Società Editrice Esculapio
Page : 1199 pages
File Size : 35,19 MB
Release : 2019-11-01
Category : Technology & Engineering
ISBN : 8835328993

GET BOOK

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.

Author : Phillip L. Gould
Publisher : Springer Science & Business Media
Page : 502 pages
File Size : 38,57 MB
Release : 2012-12-06
Category : Science
ISBN : 1461237645

GET BOOK

The study ofthree-dimensional continua has been a traditional part of graduate education in solid mechanics for some time. With rational simplifications to the three-dimensional theory of elasticity, the engineering theories of medium-thin plates and of thin shells may be derived and applied to a large class of engi neering structures distinguished by a characteristically small dimension in one direction. Often, these theories are developed somewhat independently due to their distinctive geometrical and load-resistance characteristics. On the other hand, the two systems share a common basis and might be unified under the classification of Surface Structures after the German term Fliichentragwerke. This common basis is fully exploited in this book. A substantial portion of many traditional approaches to this subject has been devoted to constructing classical and approximate solutions to the governing equations of the system in order to proceed with applications. Within the context of analytical, as opposed to numerical, approaches, the limited general ity of many such solutions has been a formidable obstacle to applications involving complex geometry, material properties, and/or loading. It is now relatively routine to obtain computer-based solutions to quite complicated situations. However, the choice of the proper problem to solve through the selection of the mathematical model remains a human rather than a machine task and requires a basis in the theory of the subject.