Refined Dynamical Theories of Beams, Plates and Shells and Their Applications
Refined Dynamical Theories of Beams, Plates and Shells and Their Applications

Author: Isaac Elishakoff

Publisher: Springer Science & Business Media

Published: 2013-03-12

Total Pages: 439

ISBN-13: 3642830404

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As is known, classical theories of vibration of the most fre quently encountered structural elements (e. g. , beams, plates and shells) disregard the effects of the shear deformation and rotary inertia. Refined theories, with these effects taken into account, have been pioneered by Bresse, Lord Rayleigh, Timoshenko, Eric Reissner, Mindlin and others. These refined theories have been fruitfully applied in recent decades in both theoretical and prac tical solid mechanics problems. The European Mechanics Committee approved holding EURO~illCH Colloquium 219 on "Refined Dynamical Theories of Beams, Plates and Shells and Their Applications" for reviewing the recent devel opments, providing guidelines for future investigations and presenting a forum for current work of younger researchers. The Colloquium was held during September 23 - 26, 1986, at the Uni versitat-Gesamthochschule Kassel, in the city of Kassel, Federal Republic of Germany. 45 Representatives of academia and industry, from nine European countries, as well as from Israel, USA and India participated in this Colloquium. IV 36 lectures were presented during the five sessions: Session A: Theory of Vibrations of Plates and Shells Session B: Various Approaches for Dynamical Problems of Beams Session C: Random Vibrations and Dynamic Stability Session D: Vibrations of Composite Structures Session E: Special Dynamical Problems of Beams, Plates and Shells The papers in this volums were divided into two parts: papers of invited keynote lectures and those of the invited contributed lectures.

Multifaceted Uncertainty Quantification
Multifaceted Uncertainty Quantification

Author: Isaac Elishakoff

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2024-09-23

Total Pages: 384

ISBN-13: 3111354237

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The book exposes three alternative and competing approaches to uncertainty analysis in engineering. It is composed of some essays on various sub-topics like random vibrations, probabilistic reliability, fuzzy-sets-based analysis, unknown-but-bounded variables, stochastic linearization, possible difficulties with stochastic analysis of structures.

Computational Tensor Analysis of Shell Structures
Computational Tensor Analysis of Shell Structures

Author: Steve Naomis

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 321

ISBN-13: 3642842437

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This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading conditions. The strain-displacement equations for thin shells of arbitrary geometry are developed. These relationships are expressed in general curvilinear coordinates and are formulated entirely in the framework of tensor calculus. The resulting theory is not restricted to shell structures characterized by any particular geometric form, loading or boundary conditions. The complete displacement and strain equations developed by Flugge are approximated by the curvilinear finite difference method and are applied to computing the natural frequencies and mode shapes of general thin shells. This approach enables both the displacement components and geometric properties of the shell to be approximated numerically and accurately. The selection of an appropriate displacement field to approximate the deformation of the shell within each finite difference mesh is discussed in detail. In addition, comparisons are made between the use of second and third-order finite difference interpolation meshes.

Eigenvalues of Inhomogeneous Structures
Eigenvalues of Inhomogeneous Structures

Author: Isaac Elishakoff

Publisher: CRC Press

Published: 2004-10-28

Total Pages: 746

ISBN-13: 142003801X

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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

Impact Behaviour of Fibre-reinforced Composite Materials and Structures
Impact Behaviour of Fibre-reinforced Composite Materials and Structures

Author: S.R. Reid

Publisher: CRC Press

Published: 2000-10-31

Total Pages: 328

ISBN-13: 9780849308475

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Much of the early, pioneering work on the properties of composites under impact is still conceptually relevant, yet the results of many such analyses are outdated. The accuracy of these results depend specifically on the materials used (fibre, resin), interface, and method of fabrication. Development of new materials, cost effective design, and analysis and prediction of structural behaviour have all established a need for timely, wide ranging research on impact behaviour. Impact Behaviour of Fibre-Reinforced Composite Materials and Structures brings together - for the first time - state-of-the-art research from the most recent works of leading, international experts. An important new study, this book extensively investigates impact response, damage tolerance, and failure of fibre-reinforced composite materials and structure, from a number of expert viewpoints. This book explores the nature of modern polymer composites based on glass, carbon, aramid, ceramic and polymer fibres in a polymer matrix, and details various ways of analysing the impact process. Impact Behaviour of Fibre-Reinforced Composite Materials and Structures will prove itself a valuable tool for research and development engineers, structural engineers, materials scientists, designers, and students and researchers of related disciplines.

Carbon Nanotubes and Nanosensors
Carbon Nanotubes and Nanosensors

Author: Isaac Elishakoff

Publisher: John Wiley & Sons

Published: 2013-03-04

Total Pages: 308

ISBN-13: 1118565886

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The main properties that make carbon nanotubes (CNTs) a promising technology for many future applications are: extremely high strength, low mass density, linear elastic behavior, almost perfect geometrical structure, and nanometer scale structure. Also, CNTs can conduct electricity better than copper and transmit heat better than diamonds. Therefore, they are bound to find a wide, and possibly revolutionary use in all fields of engineering. The interest in CNTs and their potential use in a wide range of commercial applications; such as nanoelectronics, quantum wire interconnects, field emission devices, composites, chemical sensors, biosensors, detectors, etc.; have rapidly increased in the last two decades. However, the performance of any CNT-based nanostructure is dependent on the mechanical properties of constituent CNTs. Therefore, it is crucial to know the mechanical behavior of individual CNTs such as their vibration frequencies, buckling loads, and deformations under different loadings. This title is dedicated to the vibration, buckling and impact behavior of CNTs, along with theory for carbon nanosensors, like the Bubnov-Galerkin and the Petrov-Galerkin methods, the Bresse-Timoshenko and the Donnell shell theory.

Modern Trends in Structural and Solid Mechanics 2
Modern Trends in Structural and Solid Mechanics 2

Author: Noel Challamel

Publisher: John Wiley & Sons

Published: 2021-06-08

Total Pages: 306

ISBN-13: 1119831849

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This book comprised of three separate volumes presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.