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Isospectral Vibrating Systems
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Book Synopsis Isospectral Vibrating Systems by : Ranjan Ganguli
Download or read book Isospectral Vibrating Systems written by Ranjan Ganguli and published by CRC Press. This book was released on 2021-08-10 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an isospectral approach for several important mechanical vibrating systems. Discrete and continuous isospectral systems are discussed using a simple multi-degree of freedom spring-mass system followed by illustration of isospectral beams and their solution through evolutionary computing. Next, it addresses axially loaded Euler-Bernoulli beams and aims to find isospectral counterparts of these systems. The practical application of these isospectral systems for vibration testing and for finding new closed form solutions is discussed. A considerable part of the book is devoted to isospectral rotating beams and their non-rotating analogs including Rayleigh beams. Aimed at researchers and graduate students in mechanical; aerospace; civil; automotive; ocean engineering especially mechanical vibrations, this monograph: Discusses isospectral vibrating systems to aid vibration testing and computational analysis Explores isospectral analogs between rotating and non-rotating structures Provides simpler isospectral beams for vibration testing and for 3D printing Uses firefly optimization method and electromagnetism inspired optimization method to find isospectral systems Shows the use of isospectral systems to find new closed form solutions using an indirect approach
Book Synopsis Advances in Engineering Structures, Mechanics & Construction by : M. Pandey
Download or read book Advances in Engineering Structures, Mechanics & Construction written by M. Pandey and published by Springer Science & Business Media. This book was released on 2007-02-10 with total page 847 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of an International Conference on Advances in Engineering Structures, Mechanics & Construction, held in Waterloo, Ontario, Canada, May 14-17, 2006. The contents include contains the texts of all three plenary presentations and all seventy-three technical papers by more than 153 authors, presenting the latest advances in engineering structures, mechanics and construction research and practice.
Book Synopsis Operator Theory and Indefinite Inner Product Spaces by : Matthias Langer
Download or read book Operator Theory and Indefinite Inner Product Spaces written by Matthias Langer and published by Springer Science & Business Media. This book was released on 2006-06-16 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: A colloquium on operator theory was held in Vienna, Austria, in March 2004, on the occasion of the retirement of Heinz Langer, a leading expert in operator theory and indefinite inner product spaces. The book contains fifteen refereed articles reporting on recent and original results in various areas of operator theory, all of them related with the work of Heinz Langer. The topics range from abstract spectral theory in Krein spaces to more concrete applications, such as boundary value problems, the study of orthogonal functions, or moment problems. The book closes with a historical survey paper.
Book Synopsis Modern Practice in Stress and Vibration Analysis by : Matthew P. Cartmell
Download or read book Modern Practice in Stress and Vibration Analysis written by Matthew P. Cartmell and published by Trans Tech Publications Ltd. This book was released on 2003-11-15 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 5th International Conference on Modern Practice in Stress and Vibration Analysis, Glasgow, Scotland, 9-11 September 2003
Book Synopsis Advances in the Theory of System Decoupling by : Rubens Gonçalves Salsa Junior
Download or read book Advances in the Theory of System Decoupling written by Rubens Gonçalves Salsa Junior and published by Springer Nature. This book was released on 2020-11-21 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise, clear, and consistent account of the methodology of phase synchronization, an extension of modal analysis to decouple any linear system in real space. It expounds on the novel theory of phase synchronization and presents recent advances, while also providing relevant background on classical decoupling theories that are used in structural analysis. The theory is illustrated with a broad range of examples. The theoretical development is also supplemented by applications to engineering problems. In addition, the methodology is implemented in a MATLAB algorithm which can be used to solve many of the illustrative examples in the book. This book is suited for researchers, practicing engineers, and graduate students in various fields of engineering, mathematics, and physical science.
Book Synopsis Inverse problems in vibration by : G.M.L. Gladwell
Download or read book Inverse problems in vibration written by G.M.L. Gladwell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last thing one settles in writing a book is what one should put in first. Pascal's Pensees Classical vibration theory is concerned, in large part, with the infinitesimal (i. e. , linear) undamped free vibration of various discrete or continuous bodies. One of the basic problems in this theory is the determination of the natural frequencies (eigen frequencies or simply eigenvalues) and normal modes of the vibrating body. A body which is modelled as a discrete system' of rigid masses, rigid rods, massless springs, etc. , will be governed by an ordinary matrix differential equation in time t. It will have a finite number of eigenvalues, and the normal modes will be vectors, called eigenvectors. A body which is modelled as a continuous system will be governed by a partial differential equation in time and one or more spatial variables. It will have an infinite number of eigenvalues, and the normal modes will be functions (eigen functions) of the space variables. In the context of this classical theory, inverse problems are concerned with the construction of a model of a given type; e. g. , a mass-spring system, a string, etc. , which has given eigenvalues and/or eigenvectors or eigenfunctions; i. e. , given spec tral data. In general, if some such spectral data is given, there can be no system, a unique system, or many systems, having these properties.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1986 with total page 1066 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamical Inverse Problems: Theory and Application by : Graham M. L. Gladwell
Download or read book Dynamical Inverse Problems: Theory and Application written by Graham M. L. Gladwell and published by Springer Science & Business Media. This book was released on 2011-05-25 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume present an overview of the general aspects and practical applications of dynamic inverse methods, through the interaction of several topics, ranging from classical and advanced inverse problems in vibration, isospectral systems, dynamic methods for structural identification, active vibration control and damage detection, imaging shear stiffness in biological tissues, wave propagation, to computational and experimental aspects relevant for engineering problems.
Book Synopsis Eigenvalues of Inhomogeneous Structures by : Isaac Elishakoff
Download or read book Eigenvalues of Inhomogeneous Structures written by Isaac Elishakoff and published by CRC Press. This book was released on 2004-10-28 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates. Despite the advances in powerful computing and advanced numerical techniques, closed-form solutions remain important for engineering; these include uses for preliminary design, for evaluation
Book Synopsis Isospectral Vibrating Systems by : Ranjan Ganguli
Download or read book Isospectral Vibrating Systems written by Ranjan Ganguli and published by CRC Press. This book was released on 2023-09-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents isospectral approach for several important mechanical vibrating systems. Discrete and continuous isospectral systems are discussed using a simple multi-degree of freedom spring-mass system, axially loaded Euler-Bernoulli beams, isospectral rotating beams and their non-rotating analogs including Rayleigh and Timoshenko beams.
Book Synopsis Proceedings of the 10th International Operational Modal Analysis Conference by : Carlo Rainieri
Download or read book Proceedings of the 10th International Operational Modal Analysis Conference written by Carlo Rainieri and published by Springer Nature. This book was released on 2024 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers the latest advances and innovations in the field of operational modal analysis and structural health monitoring, as presented at the 10th International Operational Modal Analysis Conference (IOMAC), held in Naples, Italy on May 22-24, 2024. The contributions cover a diverse range of topics, including AI for data interpretation, automatic modal parameter estimation, Digital Twin, modal testing methods, instrumentation and case studies, model correlation and updating, modal-based SHM, modal mass estimation. Selected by means of a rigorous peer-review process, they will spur novel research directions and foster future multidisciplinary collaborations.
Book Synopsis Introduction to Isospectrality by : Alberto Arabia
Download or read book Introduction to Isospectrality written by Alberto Arabia and published by Springer Nature. This book was released on 2022-09-13 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Can one hear the shape of a drum?" This striking question, made famous by Mark Kac, conceals a precise mathematical problem, whose study led to sophisticated mathematics. This textbook presents the theory underlying the problem, for the first time in a form accessible to students. Specifically, this book provides a detailed presentation of Sunada's method and the construction of non-isometric yet isospectral drum membranes, as first discovered by Gordon–Webb–Wolpert. The book begins with an introductory chapter on Spectral Geometry, emphasizing isospectrality and providing a panoramic view (without proofs) of the Sunada–Bérard–Buser strategy. The rest of the book consists of three chapters. Chapter 2 gives an elementary treatment of flat surfaces and describes Buser's combinatorial method to construct a flat surface with a given group of isometries (a Buser surface). Chapter 3 proves the main isospectrality theorems and describes the transplantation technique on Buser surfaces. Chapter 4 builds Gordon–Webb–Wolpert domains from Buser surfaces and establishes their isospectrality. Richly illustrated and supported by four substantial appendices, this book is suitable for lecture courses to students having completed introductory graduate courses in algebra, analysis, differential geometry and topology. It also offers researchers an elegant, self-contained reference on the topic of isospectrality.
Book Synopsis Program and Abstracts for the ... U.S. National Congress of Theoretical and Applied Mechanics by :
Download or read book Program and Abstracts for the ... U.S. National Congress of Theoretical and Applied Mechanics written by and published by . This book was released on 2002 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the Royal Society of London by : Royal Society (Great Britain)
Download or read book Proceedings of the Royal Society of London written by Royal Society (Great Britain) and published by . This book was released on 1987 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Tribikram Kundu Publisher :SPIE-International Society for Optical Engineering ISBN 13 : Total Pages :704 pages Book Rating :4.3/5 (91 download)
Book Synopsis Health Monitoring of Structural and Biological Systems 2007 by : Tribikram Kundu
Download or read book Health Monitoring of Structural and Biological Systems 2007 written by Tribikram Kundu and published by SPIE-International Society for Optical Engineering. This book was released on 2007 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of SPIE present the original research papers presented at SPIE conferences and other high-quality conferences in the broad-ranging fields of optics and photonics. These books provide prompt access to the latest innovations in research and technology in their respective fields. Proceedings of SPIE are among the most cited references in patent literature.
Download or read book Proceedings written by and published by . This book was released on 2002 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Proceedings A publishes refereed research papers in the mathematical, physical, and engineering sciences. The emphasis is on new, emerging areas of interdisciplinary and multidisciplinary research." Continues: Proceedings. Mathematical and physical sciences.