Download or read book Nonlinear Vibrations and Stability of Shells and Plates written by Marco Amabili and published by Cambridge University Press. This book was released on 2008-01-14 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.
Download or read book Nonlinear Mechanics of Shells and Plates in Composite Soft and Biological Materials written by Marco Amabili and published by Cambridge University Press. This book was released on 2018-11 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book guides the reader into the modelling of shell structures in applications where advanced composite materials or complex biological materials must be described with great accuracy. A valuable resource for researchers, professionals and graduate students, it presents a variety of practical concepts, diagrams and numerical results.
Download or read book The Nonlinear Dynamics of Plates and Shells written by Arnolʹd Sergeevich Volʹmir and published by . This book was released on 1974 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of ten chapters. Chapter I contains the fundamental equations of dynamic theory of large-deflection plates and shells. Chapters II-V examine the various types of vibratory motions of plates and shells. Specific problems pertaining to natural and forced vibrations are apparently presented here for the first time. In the section pertaining to self-induced vibrations, principal attention is given to new data on panel flutter. Chapters VI-IX describe the behavior of thin-walled systems under dynamic loading. It includes an analysis of deformation of plates and shells under rapid and very rapid impact loads of different types. Finally, Chapter X presents some problems of shell and plate dynamics requiring a statistical approach.
Download or read book Vibration and Nonlinear Dynamics of Plates and Shells written by Meilan Liu and published by Bentham Science Publishers. This book was released on 2014-03-25 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This e-book focuses on the vibrational and nonlinear aspects of plate and shell structure dynamics by applying the finite element model. Specifically, shell finite elements employed in the computational studies included in this book are the mixed formulation based lower order flat triangular shell finite elements. Topics in the book are covered over nine chapters, including the theoretical background for the vibration analysis of plates and shells, vibration analysis of plate structures, shells with single curvature, shells with double curvatures, and box structures (single-cell and double-cell) and the theoretical development for the nonlinear dynamic analysis of plate and shell structures. In addition to presenting the steps in the derivations of the consistent element stiffness and mass matrices, constitutive relations of elastic materials and elasto-plastic materials with isotropic strain hardening, yield criterion, return mapping, configuration and stress updating strategies, and numerical algorithms are presented and discussed. The book is a suitable reference for advanced undergraduates and post-graduate level engineering students, research engineers, and scientists working in the field of applied physics and engineering.
Download or read book Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration
Download or read book Numerical Methods for Nonlinear Dynamics of Plates and Shells written by Chen-Shyh Tsay and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thermo Dynamics of Plates and Shells written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2007-02-15 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to nonlinear dynamics of thin plates and shells with thermosensitive excitation. Because of the variety of sizes and types of mathematical models in current use, there is no prospect of solving them analytically. However, the book emphasizes a rigorous mathematical treatment of the obtained differential equations, since it helps efficiently in further developing of various suitable numerical algorithms to solve the stated problems.
Download or read book Nonlinear Analyses of Laminated Plates and Shells with Damage written by Yi-Ming Fu and published by WIT Press. This book was released on 2013 with total page 797 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this book are related to composite mechanics, nonlinear plate and shell mechanics, damage mechanics, elasto-plastic mechanics, visco-elastic mechanics, piezoelectric elastic mechanics and nonlinear dynamics, which embody the combination and integration among solid mechanics, material science and nonlinear science.
Download or read book Nonlinear Dynamics of Shells and Plates written by M. P. Paidoussis and published by . This book was released on 2000 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 15 papers reflect a reviving interest in the nonlinear dynamics of shells and panels, and to some degree of plate dynamics, funding for which dried up in the 1970s leaving some major questions still unresolved. The studies here take advantage of new numerical tools that make some things possible
Download or read book Nonlinear Analysis of Shell Structures written by Anthony N. Palazotto and published by AIAA. This book was released on 1992 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thin Plates and Shells written by Eduard Ventsel and published by CRC Press. This book was released on 2001-08-24 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 appli
Download or read book Functionally Graded Materials written by Hui-Shen Shen and published by CRC Press. This book was released on 2016-04-19 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Put a New Class of Structural Composites to UseReal Solutions for Predicting Load Initially designed as thermal barrier materials for aerospace applications and fusion reactors, functionally graded materials (FGMs) are now widely employed as structural components in extremely high-temperature environments. However, little information is commonly av
Download or read book Vibrations of Elastic Plates written by Yi-Yuan Yu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on my experiences as a teacher and as a researcher for more than four decades. When I started teaching in the early 1950s, I became interested in the vibrations of plates and shells. Soon after I joined the Polytechnic Institute of Brooklyn as a professor, I began working busily on my research in vibrations of sandwich and layered plates and shells, and then teaching a graduate course on the same subject. Although I tried to put together my lecture notes into a book, I never finished it. Many years later, I came to the New Jersey Institute of Technology as the dean of engineering. When I went back to teaching and looked for some research areas to work on, I came upon laminated composites and piezoelectric layers, which appeared to be natural extensions of sandwiches. Working on these for the last several years has brought me a great deal of joy, since I still am able to find my work relevant. At least I can claim that I still am pursuing life-long learning as it is advocated by educators all over the country. This book is based on the research results I accumulated during these two periods of my work, the first on vibrations and dynamical model ing of sandwiches, and the second on laminated composites and piezoelec tric layers.
Download or read book Theories of Plates and Shells written by Reinhold Kienzler and published by Springer Science & Business Media. This book was released on 2013-06-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Postbuckling Behavior Of Plates And Shells written by Hui-shen Shen and published by World Scientific. This book was released on 2017-01-13 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an expert in structure and stress analysis, the author has written extensively on functionally graded materials (FGMs), nonlinear vibration and dynamic response of functionally graded material plates in thermal environments, buckling and postbuckling analysis of single-walled carbon nanotubes in thermal environments. This book provides a comprehensive overview of the author's works which include significant contributions to the postbuckling behavior of plates and shells under different loading and environmental conditions.This book comprises eight chapters. Each chapter contains adequate introductory material so that an engineering graduate who is familiar with basic understanding of plates and shells will be able to follow it.
Download or read book Theory and Analysis of Elastic Plates and Shells Second Edition written by J. N. Reddy and published by CRC Press. This book was released on 1999-02-10 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a complete treatment of the theory and analysis of elastic plates. It provides detailed coverage of classic and shear deformation plate theories and their solutions by analytical as well as numerical methods for bending, buckling and natural vibrations. Analytical solutions are based on the Navier and Levy solution method, and numerical solutions are based on the Rayleigh-Ritz methods and finite element method. The author address a range of topics, including basic equations of elasticity, virtual work and energy principles, cylindrical bending of plates, rectangular plates and an introduction to the finite element method with applications to plates.
Download or read book Nonlinear Dynamics of Shells and Plates Subjected to Pulsatile Flow written by Eleonora Tubaldi and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Flow-induced vibrations due to unsteady flow often occur in many engineering areas. A specific type of unsteady flow is represented by oscillatory and pulsatile flows, which are prevalent in industrial and biological systems; applications include pump and valve operations in pipeline systems as well as blood circulation. Associated to pulsatility, wave propagation in elastic tubes is recognized as the fundamental principle of the pressure pulse in arteries. This propagation phenomenon is due to the fluid-structure interaction and not to fluid compressibility. The pulse wave velocity is related to the underlying vessel wall stiffness. In biomechanics and vascular surgery, thin-walled shell theory can be applied to model the mechanics of veins, arteries, pulmonary passages, and artificial blood vessels. This thesis focuses on the development of a new theoretical framework able to reproduce the nonlinear dynamic response of shells and plates to axial pulsatile flow. The flow is set in motion by a pulsatile pressure gradient. Coupled fluid-structure Lagrange equations of motion for a non-material volume subject to pulsatile flow and pressure with and without wave propagation are obtained and presented for the first time in the literature. The studied systems are represented by a plate periodically supported and a circular cylindrical shell with flexible boundary conditions. The fluid model is based on the potential flow theory. Numerical bifurcation analysis and time integration methods are employed to investigate the stability of the systems described using a refined reduced order model. The plate is modeled based on the von Kármán nonlinear plate theory and it is assumed to be periodically simply supported in both in-plane directions with immovable edges. The flow channel is bounded by a rigid wall. The effects on the dynamics of the plate of different system parameters such as flow velocity, pulsation amplitude, pulsation frequency, and channel pressurization are fully discussed. In vascular surgery, artificial blood vessels used for repairing and replacing damaged thoracic aorta in cases of aneurysm, dissection or coarctation can be modeled as thin-walled shells conveying pulsating flow. For this purpose, in this study, isotropic and orthotropic circular cylindrical shells with mechanical properties of woven Dacron thoracic prostheses are modeled using the nonlinear Novozhilov shell theory. A pulsatile time-dependent blood flow model is considered by applying physiological waveforms of velocity and pressure during the heart beating period. The fluid is assumed to be Newtonian and the pulsatile flow is formulated using a hybrid model that contains the unsteady effects obtained from the linear potential flow theory and the pulsatile viscous effects obtained from the unsteady time-averaged Navier-Stokes equations. Geometrically nonlinear vibrations displaying interesting and intricate nonlinear dynamics (chaos, amplitude modulation and period-doubling bifurcation) are presented via frequency-response curves, time histories, bifurcation diagrams, and Poincaré maps. This study provides an efficient fluid-structure interaction model that can reveal important aspects on the nonlinear dynamics and stability of systems conveying pulsatile flow. It also addresses a crucial but still unexplored issue in cardiovascular surgery related to the dynamics of Dacron vascular grafts subject to physiological pulsatile blood flow. An innovative formulation of the three-dimensional quasi-linear viscoelasticity is presented and applied to fit original experimental data of relaxation in axial and circumferential directions of a woven Dacron aortic graft. Experimental dynamic tests have been conducted on a Dacron prosthesis pressurized with a blood analog fluid. Modal damping values and natural frequencies have been estimated by experimental modal analysis. Numerical simulations and comparisons with experimental results are reported." --
