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 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 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 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 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 Vibration with Control written by David Wagg and published by Springer. This book was released on 2014-11-03 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive discussion of nonlinear multi-modal structural vibration problems, and shows how vibration suppression can be applied to such systems by considering a sample set of relevant control techniques. It covers the basic principles of nonlinear vibrations that occur in flexible and/or adaptive structures, with an emphasis on engineering analysis and relevant control techniques. Understanding nonlinear vibrations is becoming increasingly important in a range of engineering applications, particularly in the design of flexible structures such as aircraft, satellites, bridges, and sports stadia. There is an increasing trend towards lighter structures, with increased slenderness, often made of new composite materials and requiring some form of deployment and/or active vibration control. There are also applications in the areas of robotics, mechatronics, micro electrical mechanical systems, non-destructive testing and related disciplines such as structural health monitoring. Two broader themes cut across these application areas: (i) vibration suppression – or active damping – and, (ii) adaptive structures and machines. In this expanded 2nd edition, revisions include: An additional section on passive vibration control, including nonlinear vibration mounts. A more in-depth description of semi-active control, including switching and continuous schemes for dampers and other semi-active systems. A complet e reworking of normal form analysis, which now includes new material on internal resonance, bifurcation of backbone curves and stability analysis of forced responses. Further analysis of the nonlinear dynamics of cables including internal resonance leading to whirling. Additional material on the vibration of systems with impact friction. The book is accessible to practitioners in the areas of application, as well as students and researchers working on related topics. In particular, the aim is to introduce the key concepts of nonlinear vibration to readers who have an understanding of linear vibration and/or linear control, but no specialist knowledge in nonlinear dynamics or nonlinear control.
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 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 Nonlinear Dynamics of Continuous Elastic Systems written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to recent advances in nonlinear dynamics of continuous elastic systems. A major part of the book is dedicated to the analysis of non-homogeneous continua, e.g. plates and shells characterized by sudden changes in their thickness, possessing holes in their bodies or/and edges, made from different materials with diverse dynamical characteristics and complicated boundary conditions. New theoretical and numerical approaches for analyzing the dynamics of such continua are presented, such as the method of added masses and the method of proper orthogonal decomposition. The presented hybrid approach leads to results that cannot be obtained by other standard theories in the field. The demonstrated methods are illustrated by numerous examples of application.
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." --
Download or read book Linear and Nonlinear Structural Mechanics written by Ali H. Nayfeh and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 763 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Explains the physical meaning of linear and nonlinear structural mechanics. * Shows how to perform nonlinear structural analysis. * Points out important nonlinear structural dynamics behaviors. * Provides ready-to-use governing equations.
Download or read book Dynamics and Vibrations of Homogeneous and Layered Plates and Shells Including Those of Sandwich Construction written by Bernard Koplik and published by . This book was released on 1967 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics and vibrations of homogeneous and layered plates and shells, including those of sandwich construction were investigated. Reports on the following subjects were written: (a) linear equations of anisotropic elastic plates, (b) linear equations of isotropic elastic plates and shells, (c) damping parameters of layered plates and shells, (d) dynamic buckling of plates, (e) vibrations of two-layered plates, (f) axisymmetrical vibrations of conical shells, (g) axisymmetric vibrations of spherical shells, (h) torsional vibrations of spherical caps and circular plates, (i) nonlinear vibrations of plates and shells.
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 Vibrations of Shells and Plates written by Werner Soedel and published by CRC Press. This book was released on 2004-08-11 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: With increasingly sophisticated structures involved in modern engineering, knowledge of the complex vibration behavior of plates, shells, curved membranes, rings, and other complex structures is essential for today‘s engineering students, since the behavior is fundamentally different than that of simple structures such as rods and beams. Now in its
Download or read book Vibrations of Shells and Rods written by Khanh C. Le and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for engineers who deal with vibrations of rods and shells in their everyday practice but who also wish to understand the subject from the mathematical point-of-view, the results contained here concerning high-frequency vibrations may be new to many. The book serves equally well as an advanced textbook, while remaining of interest to mathematicians who seek applications of the variational and asymptotic methods in elasticity and piezoelectricity. Only a minimum knowledge in advanced calculus and continuum mechanics is assumed on the part of the reader.
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:
