Nonlinear Vibrations and Stability of Shells and Plates
Nonlinear Vibrations and Stability of Shells and Plates

Author: Marco Amabili

Publisher: Cambridge University Press

Published: 2008-01-14

Total Pages: 391

ISBN-13: 1139469029

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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.

Nonlinear Mechanical Vibrations
Nonlinear Mechanical Vibrations

Author: P. Srinivasan

Publisher: Wiley

Published: 1996-12-05

Total Pages: 283

ISBN-13: 9780470234396

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Of Related Interest Turbomachine Unsteady Aerodynamics J.S. Rao The problem of blade fatigue failures is important in the design of new gas turbines. The most important information required in estimating the blade life is the non-steady force field arising out of the stage flow path interaction. This book is concerned with such information. Basic principles of inviscid incompressible flows are first presented with applications to elementary incompressible flows. The airfoil theory using conformal mapping is then given to explain the basic principles of steady aerodynamic lift followed by two dimensional thin airfoil theory. The unsteady thin airfoil theory due to transverse and chordwise gusts in the upstream flow is given in detail, which is then linked to the turbomachine stage flow. The blade lift and moment calculations arising out of potential flow and vortex wakes from the neighbouring row are then presented. Next, the principles of compressible flow are introduced with extension to the turbomachine stage problem. A modified exact hydraulic analogy for isentropic flows is then introduced to study flow path interaction in a gas turbine stage. Finally, viscous flow and boundary layer theory are introduced with applications to the turbomachine blades. Thus, this book enables a designer to determine the blade non-steady force field in a turbomachine.

Advanced Theory of Vibration
Advanced Theory of Vibration

Author: J. S. Rao

Publisher: John Wiley & Sons

Published: 1992

Total Pages: 454

ISBN-13:

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Addresses analytical and graphical methods, numerical techniques and stability analysis in a comprehensive manner with engineering examples at various stages in the text. Discusses the development of diverse theories, outlining the latest refinements to classical theories of bars, rods and beams. Features a number of case studies regarding axial vibration (including viscoelastic members) and torsional vibrations of noncircular cross section rods. Contains extensive coverage of lateral vibration of beams, Coriolis effects, nonlinear vibrations, pretwisted and sandwiched beams and much more.

Engineering Vibration Analysis
Engineering Vibration Analysis

Author: Valery A. Svetlitsky

Publisher: Springer Science & Business Media

Published: 2012-11-07

Total Pages: 325

ISBN-13: 354040970X

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Theory of vibrations belongs to principal subjects needed for training mechani cal engineers in technological universities. Therefore, the basic goal of the mono graph "Advanced Theory of Vibrations 1" is to help students studying vibration theory for gaining experience in application of this theory for solving particular problems. Thus, while choosing the problems and methods to solve them, the close attention was paid to the applied content of vibration theory. The monograph is devoted to systems with a single degree of freedom and sys tems with a finite number of degrees of freedom. In particular, problems are for mulated associated with determination of frequencies and forms of vibrations, study of forced vibrations, analysis of both stable and unstable vibrations (includ ing those caused by periodic but anharmonic forces). The problems of nonlinear vibrations and of vibration stability, and those related to seeking probabilistic characteristics for solutions to these problems in the case of random forces are also considered. Problems related to parametric vibrations and statistical dynamics of mechanical systems, as well as to determination of critical parameters and of dy namic stability are also analyzed. As a rule, problems presented in the monograph are associated with particular mechanical systems and can be applied for current studies in vibration theory. Al lowing for interests of students independently studying theory of vibrations, the majority of problems are supplied with either detailed solutions or algorithms of the solutions.