Mathematical Models for Suspension Bridges

Nonlinear Structural Instability

Author: Filippo Gazzola

Publisher: Springer

ISBN: 3319154346

Category: Mathematics

Page: 259

View: 9713


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.

Nonlinear Structural Mechanics

Theory, Dynamical Phenomena and Modeling

Author: Walter Lacarbonara

Publisher: Springer Science & Business Media

ISBN: 1441912762

Category: Science

Page: 802

View: 9062


This book reviews the theoretical framework of nonlinear mechanics, covering computational methods, applications, parametric investigations of nonlinear phenomena and mechanical interpretation towards design. Builds skills via increasing levels of complexity.

Contributions to Nonlinear Elliptic Equations and Systems

A Tribute to Djairo Guedes de Figueiredo on the Occasion of his 80th Birthday

Author: Alexandre N. Carvalho,Bernhard Ruf,Ederson Moreira dos Santos,Sergio H. M. Soares,Thierry Cazenave

Publisher: Birkhäuser

ISBN: 3319199021

Category: Mathematics

Page: 438

View: 4295


This volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday. The articles it contains were born out of the ICMC Summer Meeting on Differential Equations – 2014 Chapter, also dedicated to de Figueiredo and held at the Universidade de São Paulo at São Carlos, Brazil from February 3-7, 2014. The contributing authors represent a group of international experts in the field and discuss recent trends and new directions in nonlinear elliptic partial differential equations and systems. Djairo Guedes de Figueiredo has had a very active scientific career, publishing 29 monographs and over one hundred research articles. His influence on Brazilian mathematics has made him one of the pillars of the subject in that country. He had a major impact on the development of analysis, especially in its application to nonlinear elliptic partial differential equations and systems throughout the entire world. The articles collected here pay tribute to him and his legacy and are intended for graduate students and researchers in mathematics and related areas who are interested in nonlinear elliptic partial differential equations and systems.

Nonlinear Dynamics of Structures, Systems and Devices

Proceedings of the First International Nonlinear Dynamics Conference (NODYCON 2019), Volume I

Author: Walter Lacarbonara,Balakumar Balachandran,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan

Publisher: Springer Nature

ISBN: 3030347133

Category: Science

Page: 592

View: 5104


This first of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to Nonlinear Dynamics of Structures, Systems and Devices. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume I include multi-scale dynamics: coexistence of multiple time/space scales, large system dynamics; dynamics of structures/industrial machines/equipment/facilities (e.g., cable transportation systems, suspension bridges, cranes, vehicles); nonlinear interactions: parametric vibrations with single/multi-frequency excitations, multiple external and autoparametric resonances in multi-dof systems; nonlinear system identification: parametric/nonparametric identification, data-driven identification; experimental dynamics: benchmark experiments, experimental methods, instrumentation techniques, measurements in harsh environments, experimental validation of nonlinear models; wave propagation, solitons, kinks, breathers; solution methods for pdes: Lie groups, Hirota’s method, perturbation methods, etc; nonlinear waves in media (granular materials, porous materials, materials with memory); composite structures: multi-layer, functionally graded, thermal loading; fluid/structure interaction; nonsmooth and retarded dynamics: systems with impacts, free play, stick-slip, friction hysteresis; nonlinear systems with time and/or space delays; stability of delay differential equations, differential-algebraic equations; space/time reduced-order modeling: enhanced discretization methods, center manifold reduction, nonlinear normal modes, normal forms; fractional-order systems; computational techniques: efficient algorithms, use of symbolic manipulators, integration of symbolic manipulation and numerical methods, use of parallel processors; and multibody dynamics: rigid and flexible multibody system dynamics, impact and contact mechanics, tire modeling, railroad vehicle dynamics, computational multibody dynamics.

Advances in Civil and Structural Engineering III

Author: Yong Huang

Publisher: Trans Tech Publications Ltd

ISBN: 3038263869

Category: Technology & Engineering

Page: 2890

View: 1945


Collection of selected, peer reviewed papers from the 2013 International Conference on Civil Engineering and Transportation (ICCET 2013). December 14-15, 2013, Kunming, China. The 521 papers are grouped as follows: Chapter 1: Geotechnical Engineering; Chapter 2: Geological Engineering; Chapter 3: Structural Engineering; Chapter 4: Monitoring and Control of Structures; Chapter 5: Structural Rehabilitation, Retrofitting and Strengthening; Chapter 6: Reliability and Durability of Structures; Chapter 7: Bridge Engineering; Chapter 8: Seismic Engineering; Chapter 9: Tunnel, Subway and Underground Facilities; Chapter 10: Hydraulic Engineering; Chapter 11: Coastal Engineering; Chapter 12: Surveying Engineering; Chapter 13: Construction Technology; Chapter 14: Heating, Water and Gas Supply, Ventilation and Air Conditioning Works; Chapter 15: Prevention Catastrophes and Disasters Mitigation; Chapter 16: Computational and Applied Mechanics; Chapter 17: Computer Applications and Information Technologies in Construction; Chapter 18: Engineering Management in Construction