Nonlinear Equations For Beams And Degenerate Plates With Piers

Download or read book Nonlinear Equations for Beams and Degenerate Plates with Piers written by Maurizio Garrione and published by Springer Nature. This book was released on 2019-10-31 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a full theory for hinged beams and degenerate plates with multiple intermediate piers with the final purpose of understanding the stability of suspension bridges. New models are proposed and new tools are provided for the stability analysis. The book opens by deriving the PDE’s based on the physical models and by introducing the basic framework for the linear stationary problem. The linear analysis, in particular the behavior of the eigenvalues as the position of the piers varies, enables the authors to tackle the stability issue for some nonlinear evolution beam equations, with the aim of determining the “best position” of the piers within the beam in order to maximize its stability. The study continues with the analysis of a class of degenerate plate models. The torsional instability of the structure is investigated, and again, the optimal position of the piers in terms of stability is discussed. The stability analysis is carried out by means of both analytical tools and numerical experiments. Several open problems and possible future developments are presented. The qualitative analysis provided in the book should be seen as the starting point for a precise quantitative study of more complete models, taking into account the action of aerodynamic forces. This book is intended for a two-fold audience. It is addressed both to mathematicians working in the field of Differential Equations, Nonlinear Analysis and Mathematical Physics, due to the rich number of challenging mathematical questions which are discussed and left as open problems, and to Engineers interested in mechanical structures, since it provides the theoretical basis to deal with models for the dynamics of suspension bridges with intermediate piers. More generally, it may be enjoyable for readers who are interested in the application of Mathematics to real life problems.

Download or read book Nonlinear Differential Equations and Applications written by Hugo Beirão da Veiga and published by Springer Nature. This book was released on with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1992 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Differential Quadrature and Its Application in Engineering written by Chang Shu and published by Springer Science & Business Media. This book was released on 2000-01-14 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past few years, the differential quadrature method has been applied extensively in engineering. This book, aimed primarily at practising engineers, scientists and graduate students, gives a systematic description of the mathematical fundamentals of differential quadrature and its detailed implementation in solving Helmholtz problems and problems of flow, structure and vibration. Differential quadrature provides a global approach to numerical discretization, which approximates the derivatives by a linear weighted sum of all the functional values in the whole domain. Following the analysis of function approximation and the analysis of a linear vector space, it is shown in the book that the weighting coefficients of the polynomial-based, Fourier expansion-based, and exponential-based differential quadrature methods can be computed explicitly. It is also demonstrated that the polynomial-based differential quadrature method is equivalent to the highest-order finite difference scheme. Furthermore, the relationship between differential quadrature and conventional spectral collocation is analysed. The book contains material on: - Linear Vector Space Analysis and the Approximation of a Function; - Polynomial-, Fourier Expansion- and Exponential-based Differential Quadrature; - Differential Quadrature Weighting Coefficient Matrices; - Solution of Differential Quadrature-resultant Equations; - The Solution of Incompressible Navier-Stokes and Helmholtz Equations; - Structural and Vibrational Analysis Applications; - Generalized Integral Quadrature and its Application in the Solution of Boundary Layer Equations. Three FORTRAN programs for simulation of driven cavity flow, vibration analysis of plate and Helmholtz eigenvalue problems respectively, are appended. These sample programs should give the reader a better understanding of differential quadrature and can easily be modified to solve the readers own engineering problems.

Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1989 with total page 1116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Glossary of Prosthodontic Terms written by and published by . This book was released on 1994 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bridge Aeroelasticity written by J. A. Jurado and published by WIT Press. This book was released on 2011 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the study of an aeroelastic phenomenon of cable supported long span bridges known as flutter, and proposes very innovative design methodologies, such as sensitivity analysis and optimization techniques, already utilized successfully in automobile and aerospace industries. The topic of long-span suspension and cable-stayed bridges is currently of great importance. These types of bridge pose great technical difficulties due to their slenderness and often great dimension. Therefore, these bridges tend to have problems caused by natural forces such as wind loads, some of which we have witnessed in our history, and we are currently seeing a very high incidence of bridge construction to overcome geographical obstacles such as bays, straits, or great estuaries. Therefore, it seems very appropriate to write a book showing the current capability of analysis and design, when up until now, the information could only be found partially in technical articles. This book will be useful for bridge design engineers as well as researchers working in the field. This book only requires previous knowledge of structural finite element models and dynamics, and it is advisable to have some previous knowledge in bridge engineering. Nevertheless, this book is very self-contained in such a way that all the information necessary to understand the theoretical developments is presented without the need of additional bibliography.