Mathematical Models of Beams and Cables

Mathematical Models of Beams and Cables PDF Author: Angelo Luongo
Publisher: John Wiley & Sons
ISBN: 1118577639
Category : Technology & Engineering
Languages : en
Pages : 266

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Book Description
Nonlinear models of elastic and visco-elastic onedimensional continuous structures (beams and cables) are formulated by the authors of this title. Several models of increasing complexity are presented: straight/curved, planar/non-planar, extensible/inextensible, shearable/unshearable, warpingunsensitive/ sensitive, prestressed/unprestressed beams, both in statics and dynamics. Typical engineering problems are solved via perturbation and/or numerical approaches, such as bifurcation and stability under potential and/or tangential loads, parametric excitation, nonlinear dynamics and aeroelasticity. Contents 1. A One-Dimensional Beam Metamodel. 2. Straight Beams. 3. Curved Beams. 4. Internally Constrained Beams. 5. Flexible Cables. 6. Stiff Cables. 7. Locally-Deformable Thin-Walled Beams. 8. Distortion-Constrained Thin-Walled Beams.

Mathematical Models of Beams and Cables

Mathematical Models of Beams and Cables PDF Author: Angelo Luongo
Publisher: John Wiley & Sons
ISBN: 1118577639
Category : Technology & Engineering
Languages : en
Pages : 266

Get Book Here

Book Description
Nonlinear models of elastic and visco-elastic onedimensional continuous structures (beams and cables) are formulated by the authors of this title. Several models of increasing complexity are presented: straight/curved, planar/non-planar, extensible/inextensible, shearable/unshearable, warpingunsensitive/ sensitive, prestressed/unprestressed beams, both in statics and dynamics. Typical engineering problems are solved via perturbation and/or numerical approaches, such as bifurcation and stability under potential and/or tangential loads, parametric excitation, nonlinear dynamics and aeroelasticity. Contents 1. A One-Dimensional Beam Metamodel. 2. Straight Beams. 3. Curved Beams. 4. Internally Constrained Beams. 5. Flexible Cables. 6. Stiff Cables. 7. Locally-Deformable Thin-Walled Beams. 8. Distortion-Constrained Thin-Walled Beams.

Mathematical Models for Suspension Bridges

Mathematical Models for Suspension Bridges PDF Author: Filippo Gazzola
Publisher: Springer
ISBN: 3319154346
Category : Mathematics
Languages : en
Pages : 274

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Book Description
This work provides a detailed and up-to-the-minute survey of the various stability problems that can affect suspension bridges. In order to deduce some experimental data and rules on the behavior of suspension bridges, a number of historical events are first described, in the course of which several questions concerning their stability naturally arise. The book then surveys conventional mathematical models for suspension bridges and suggests new nonlinear alternatives, which can potentially supply answers to some stability questions. New explanations are also provided, based on the nonlinear structural behavior of bridges. All the models and responses presented in the book employ the theory of differential equations and dynamical systems in the broader sense, demonstrating that methods from nonlinear analysis can allow us to determine the thresholds of instability.

Dynamics and Aerodynamics of Cables

Dynamics and Aerodynamics of Cables PDF Author: Vincenzo Gattulli
Publisher: Springer Nature
ISBN: 3031471520
Category : Technology & Engineering
Languages : en
Pages : 363

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Book Description
This volume gathers the latest advances, innovations and applications in the field of cable dynamics and aerodynamics, as presented by leading researchers and engineers at the 3rd International Symposium on Dynamics and Aerodynamics of Cables (ISDAC), held in Rome, Italy on June 15-17, 2023. The contributions encompass topics such as nonlinear cable dynamics, cable structures and moving cables, cable aging, fatigue, degradation and failure mechanisms, laboratory testing of cable dynamics and aerodynamics, computational models for cable dynamics and fluid-structure interaction, cable vibration control, cable driven parallel manipulators, monitoring of cable performance, environmental and anthropic loads on cable structures. The contributions, which were selected through a rigorous international peer-review process, share exciting ideas that will spur novel research directions and foster new multidisciplinary collaborations.

Mathematical Models for Elastic Structures

Mathematical Models for Elastic Structures PDF Author: Piero Villaggio
Publisher: Cambridge University Press
ISBN: 0511822855
Category : Technology & Engineering
Languages : en
Pages : 696

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Book Description
Elastic structures, conceived as slender bodies able to transmit loads, have been studied by scientists and engineers for centuries. By the seventeenth century several useful theories of elastic structures had emerged, with applications to civil and mechanical engineering problems. In recent years improved mathematical tools have extended applications into new areas such as geomechanics and biomechanics. This book, first published in 1998, offers a critically filtered collection of the most significant theories dealing with elastic slender bodies. It includes mathematical models involving elastic structures, which are used to solve practical problems with particular emphasis on nonlinear problems. This collection of interesting and important problems in elastic structures will appeal to a broad range of scientists, engineers and graduate students working in the area of structural mechanics.

Modern Trends in Structural and Solid Mechanics 2

Modern Trends in Structural and Solid Mechanics 2 PDF Author: Noel Challamel
Publisher: John Wiley & Sons
ISBN: 1119831849
Category : Science
Languages : en
Pages : 306

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Book Description
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.

Recent Advances in Mathematical and Statistical Methods

Recent Advances in Mathematical and Statistical Methods PDF Author: D. Marc Kilgour
Publisher: Springer
ISBN: 331999719X
Category : Computers
Languages : en
Pages : 622

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Book Description
This book focuses on the recent development of methodologies and computation methods in mathematical and statistical modelling, computational science and applied mathematics. It emphasizes the development of theories and applications, and promotes interdisciplinary endeavour among mathematicians, statisticians, scientists, engineers and researchers from other disciplines. The book provides ideas, methods and tools in mathematical and statistical modelling that have been developed for a wide range of research fields, including medical, health sciences, biology, environmental science, engineering, physics and chemistry, finance, economics and social sciences. It presents original results addressing real-world problems. The contributions are products of a highly successful meeting held in August 2017 on the main campus of Wilfrid Laurier University, in Waterloo, Canada, the International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS-2017). They make this book a valuable resource for readers interested not only in a broader overview of the methods, ideas and tools in mathematical and statistical approaches, but also in how they can attain valuable insights into problems arising in other disciplines.

Publications

Publications PDF Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 684

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Technology for Large Space Systems

Technology for Large Space Systems PDF Author:
Publisher:
ISBN:
Category : Large space structures (Astronautics)
Languages : en
Pages : 152

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Publications of the National Bureau of Standards ... Catalog

Publications of the National Bureau of Standards ... Catalog PDF Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category :
Languages : en
Pages : 686

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Publications of the National Institute of Standards and Technology ... Catalog

Publications of the National Institute of Standards and Technology ... Catalog PDF Author: National Institute of Standards and Technology (U.S.)
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 424

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Book Description