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Nonlinear Forced Vibrations Of Infinitely Long Cylindrical Shells
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Book Synopsis Nonlinear Forced Vibrations of Infinitely Long Cylindrical Shells by : Hans H. Bleich
Download or read book Nonlinear Forced Vibrations of Infinitely Long Cylindrical Shells written by Hans H. Bleich and published by . This book was released on 1970 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large amplitude forced vibrations of infinitely long, thin cylindrical shells are determined, using generalized coordinates which are the infinie sequence of normal modes of linear shell theory. The perturbation procedure employed gives solutions consisting only of a finite number of terms, so that arbitrary truncation of the infinite series in terms of the modes is avoided. As reported previously, unusual types of response are possible, in which the nodal lines of the applied sinusoidal pressure (in space) and of the radial displacement do not agree. Amplitude-frequency relations for regular and unusual responses are obtained. Numerical coefficients occurring in these relations are tabulated. It is demonstrated that the unusual responses exist only for sufficiently small values of a nondimensional parameter which increases with the ratio of critical damping. The unusual solutions become unstable, or do not exist, when the parameter exceeds cut-off values derived in the text. The situation is illustrated by a sequence of examples with varying values of damping. (Author).
Book Synopsis Free and Forced Vibrations of an Infinitely Long Cylindrical Shell in an Infinite Acoustic Medium by : H. H. Bleich
Download or read book Free and Forced Vibrations of an Infinitely Long Cylindrical Shell in an Infinite Acoustic Medium written by H. H. Bleich and published by . This book was released on 1952 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method is presented which permits the determination of the frequencies of vibrations of infinitely long thin cylindrical shells in an acoustic medium. Expressions are obtained for the displacements of the shell and for the pressures in the medium in the case of forced vibrations due to sinusoidally distributed radial forces. The results indicate that there is a low-frequency range, where no radiation takes place, and a high-frequency range where the external force provides energy which is radiated. Resonance occurs in the low-frequency range only; in the high-frequency range it is prevented by the damping due to radiation. Free and forced vibrations of steel shells submerged in water are discussed; with limitations, the theory may be applied approximately to stiffened shells. The method requires only a minor modification to account for the effect of static pressure in the surrounding medium. The treatment of transient problems is also considered. If high-frequency terms occur in the force, or shock effects are wanted within a short time after the application of the force, a treatment using solely modes of vibration of the submerged structure would be incomplete, as additional terms occur in the solution. As an alternative approach, the modes of free vibration of the structure may be used as generalized coordinates which fully describe the response of the structure but leave the medium to be treated, by means of the differential equations for the potential or in any other way desired.
Book Synopsis Nonlinear Vibrations and Stability of Shells and Plates by : Marco Amabili
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.
Book Synopsis Nonlinear Analysis of Structures (1997) by : Muthukrishnan Sathyamoorthy
Download or read book Nonlinear Analysis of Structures (1997) written by Muthukrishnan Sathyamoorthy and published by CRC Press. This book was released on 2017-11-22 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.
Book Synopsis Computational Problems in Science and Engineering by : Nikos Mastorakis
Download or read book Computational Problems in Science and Engineering written by Nikos Mastorakis and published by Springer. This book was released on 2015-10-26 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with modern computational techniques for solving variety of problems from electrical, mechanical, civil and chemical engineering. Mathematical methods are presented in a unified manner, so they can be applied consistently to problems in applied electromagnetics, strength of materials, fluid mechanics, heat and mass transfer, environmental engineering, biomedical engineering, signal processing, automatic control and more.
Book Synopsis Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials by : Marco Amabili
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.
Book Synopsis Vibration of Shells by : Arthur W. Leissa
Download or read book Vibration of Shells written by Arthur W. Leissa and published by . This book was released on 1973 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The vibrational characteristics and mechanical properties of shell structures are discussed. The subjects presented are: (1) fundamental equations of thin shell theory, (2) characteristics of thin circular cylindrical shells, (3) complicating effects in circular cylindrical shells, (4) noncircular cylindrical shell properties, (5) characteristics of spherical shells, and (6) solution of three-dimensional equations of motion for cylinders.
Book Synopsis Some Nonlinear Vibration and Response Problems of Cylindrical Panels and Shells by : Benjamin E. Cummings
Download or read book Some Nonlinear Vibration and Response Problems of Cylindrical Panels and Shells written by Benjamin E. Cummings and published by . This book was released on 1962 with total page 1317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large amplitude vibrations and forced response of curved panels and shells are studied by the application of the shallow shell equation. Che Galerkin procedure is used to reduce the nonlinear partial differential equations to ordinary nonlinear equations. Marked differences are found between the behavior of curved panels and cylindrical shells. Relations for the dependence of the free vibration period on amplitude are given. A two mode analysis of the cylindrical shell problem is included. The curved panel is found to exhibit a buckling phenomenon for the simple breathing modes. Shock response methods are used to predict dynamic buckling of the curved panel and the predictions are verified by numerical integration. The cylindrical shell vibrations and responses are found to be governed by Duffing's equation and certain of the well-known properties of Duffing's equation are applied to the cylindrical shell dy5amics. The two m6de analysis of the cylind9ical shell is shown to exhibit weak coupling, allowing the separate excitation of the coupled modeb. Some numerical results are given. (Author).
Book Synopsis Bifurcation and Chaos by : Jan Awrejcewicz
Download or read book Bifurcation and Chaos written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in physics and engineering. Each chapter is self-contained and includes an elementary introduction, an exposition of the state of the art, as well as details of recent theoretical, computational and experimental results. Included among the practical systems analysed are: hysteretic circuits, Josephson circuits, magnetic systems, railway dynamics, rotor dynamics and nonlinear dynamics of speech. This book provides important information and ideas for all mathematicians, physicists and engineers whose work in R & D or academia involves the practical consequences of chaotic dynamics.
Book Synopsis Government Reports Announcements by :
Download or read book Government Reports Announcements written by and published by . This book was released on 1971 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1987 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Structural Mechanics & Fluid Dynamics by : A.K. Noor
Download or read book Computational Structural Mechanics & Fluid Dynamics written by A.K. Noor and published by Elsevier. This book was released on 2013-10-22 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational structural mechanics (CSM) and computational fluid dynamics (CFD) have emerged in the last two decades as new disciplines combining structural mechanics and fluid dynamics with approximation theory, numerical analysis and computer science. Their use has transformed much of theoretical mechanics and abstract science into practical and essential tools for a multitude of technological developments which affect many facets of our life. This collection of over 40 papers provides an authoritative documentation of major advances in both CSM and CFD, helping to identify future directions of development in these rapidly changing fields. Key areas covered are fluid structure interaction and aeroelasticity, CFD technology and reacting flows, micromechanics, stability and eigenproblems, probabilistic methods and chaotic dynamics, perturbation and spectral methods, element technology (finite volume, finite elements and boundary elements), adaptive methods, parallel processing machines and applications, and visualization, mesh generation and artificial intelligence interfaces.
Download or read book Government Reports Index written by and published by . This book was released on 1971 with total page 1896 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear and Nonlinear Structural Mechanics by : Ali H. Nayfeh
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 The Shock and Vibration Digest written by and published by . This book was released on 1973 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Mechanical Design by : Jianrong Tan
Download or read book Advances in Mechanical Design written by Jianrong Tan and published by Springer Nature. This book was released on 2022-03-15 with total page 2373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focus on innovation, main objectives are to bring the community of researchers in the fields of mechanical design together; to exchange and discuss the most recent investigations, challenging problems and new trends; and to encourage the wider implementation of the advanced design technologies and tools in the world, particularly throughout China. The theme of 2021 ICMD is “Interdisciplinary and Design Innovation” and this conference is expected to provide an excellent forum for cross-fertilization of ideas so that more general, intelligent, robust and computationally economical mechanical design methods are created for multi-disciplinary applications.
Download or read book Rotating Shell Dynamics written by Hua Li and published by Elsevier. This book was released on 2005-01-19 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are numerous engineering applications for high-speed rotating structures which rotate about their symmetric axes. For example, free-flight sub-munition projectiles rotate at high speeds in order to achieve an aerodynamically-stable flight. This is the first book of its kind to provide a comprehensive and systematic description of rotating shell dynamics. It not only provides the basic derivation of the dynamic governing equations for rotating shells, but documents benchmark results for free vibration, critical speed and parametric resonance. It is written in a simple and clear manner making it accessible both the expert and graduate student. The first monograph to provide a detailed description of rotating shell dynamics Dynamic problems such as free vibration and dynamic stability are examined in detail, for basic shells of revolutions
