Mathematical Models for Elastic Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Models for Elastic Structures write by Piero Villaggio. This book was released on 1997-10-28. Mathematical Models for Elastic Structures available in PDF, EPUB and Kindle. Elastic structures, conceived as slender bodies able to transmit loads, have been studied by scientists and engineers for centuries. By the seventeenth century several useful theories of elastic structures had emerged, with applications to civil and mechanical engineering problems. In recent years improved mathematical tools have extended applications into new areas such as geomechanics and biomechanics. This book, first published in 1998, offers a critically filtered collection of the most significant theories dealing with elastic slender bodies. It includes mathematical models involving elastic structures, which are used to solve practical problems with particular emphasis on nonlinear problems. This collection of interesting and important problems in elastic structures will appeal to a broad range of scientists, engineers and graduate students working in the area of structural mechanics.
Mathematical Theory of Elastic Structures
Mathematical Theory of Elastic Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Theory of Elastic Structures write by Kang Feng. This book was released on 2013-04-17. Mathematical Theory of Elastic Structures available in PDF, EPUB and Kindle. Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.
Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures
Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures write by J.E. Lagnese. This book was released on 2012-12-06. Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures available in PDF, EPUB and Kindle. The purpose of this monograph is threefold. First, mathematical models of the transient behavior of some or all of the state variables describing the motion of multiple-link flexible structures will be developed. The structures which we have in mind consist of finitely many interconnected flexible ele ments such as strings, beams, plates and shells or combinations thereof and are representative of trusses, frames, robot arms, solar panels, antennae, deformable mirrors, etc. , currently in use. For example, a typical subsys tem found in almost all aircraft and space vehicles consists of beam, plate and/or shell elements attached to each other in a rigid or flexible manner. Due to limitations on their weights, the elements themselves must be highly flexible, and due to limitations on their initial configuration (i. e. , before de ployment), those aggregates often have to contain several links so that the substructure may be unfolded or telescoped once it is deployed. The point of view we wish to adopt is that in order to understand completely the dynamic response of a complex elastic structure it is not sufficient to con to take into account the sider only its global motion but also necessary flexibility of individual elements and the interaction and transmission of elastic effects such as bending, torsion and axial deformations at junctions where members are connected to each other. The second object of this book is to provide rigorous mathematical analyses of the resulting models.
Mathematical Models for Elastic Structures
Mathematical Models for Elastic Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Models for Elastic Structures write by Piero Villaggio. This book was released on 1997-10-28. Mathematical Models for Elastic Structures available in PDF, EPUB and Kindle. During the seventeenth century, several useful theories of elastic structures emerged, with applications to civil and mechanical engineering problems. Recent and improved mathematical tools have extended applications into new areas such as mathematical physics, geomechanics, and biomechanics. This book offers a critically filtered collection of the most significant theories dealing with elastic slender bodies. It includes mathematical models involving elastic structures that are used to solve practical problems with particular emphasis on nonlinear problems.
Mathematical Models for Elastic Structures
Mathematical Models for Elastic Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Models for Elastic Structures write by . This book was released on . Mathematical Models for Elastic Structures available in PDF, EPUB and Kindle.
