MULTISTABILITY, BASIN BOUNDARY STRUCTURE, AND CHAOTIC BEHAVIOR IN A SUSPENSION BRIDGE MODEL

2004 ◽  
Vol 14 (03) ◽  
pp. 927-950 ◽  
Author(s):  
MÁRIO S. T. DE FREITAS ◽  
RICARDO L. VIANA ◽  
CELSO GREBOGI
Keyword(s):  
Chaotic Behavior ◽  
Vibrational Mode ◽  
Basin Of Attraction ◽  
Elastic Beam ◽  
Suspension Bridge ◽  
Boundary Structure ◽  
Bridge Structure ◽  
Coexisting Attractors ◽  
Bridge Model ◽  
Time Periodic

We consider the dynamics of the first vibrational mode of a suspension bridge, resulting from the coupling between its roadbed (elastic beam) and the hangers, supposed to be one-sided springs which respond only to stretching. The external forcing is due to time-periodic vortices produced by impinging wind on the bridge structure. We have studied some relevant dynamical phenomena in such a system, like periodic and quasiperiodic responses, chaotic motion, and boundary crises. In the weak dissipative limit the dynamics is mainly multistable, presenting a variety of coexisting attractors, both periodic and chaotic, with a highly involved basin of attraction structure.

The Pre-Stressed Modal Calculation Method of Long-Span Suspension Bridge

2012 ◽  
Vol 204-208 ◽  
pp. 2123-2126
Author(s):  
Jun Long Zhou ◽  
Li Nan Li ◽  
Shi Gang Sun ◽  
Song Bao Cai
Keyword(s):  
Finite Element ◽  
Calculation Method ◽  
Suspension Bridge ◽  
Bridge Structure ◽  
Long Span ◽  
Bridge Model ◽  
Element Theory

Taking suspension bridge for example, this paper based on finite element theory and derived the formulas of pre-stressed modal computing theory of the bridge structure. Then to check the correctness of the theory, we calculated a real bridge model. Finally we get a theory to calculate bridge pre-stress modal.

Fuzzy Logic Control of Time Periodic Mechanical Systems

1997 ◽  
Author(s):  
Dan Boghiu ◽  
S. C. Sinha ◽  
Dan B. Marghitu
Keyword(s):  
Fuzzy Logic ◽  
Fuzzy Logic Control ◽  
Inverted Pendulum ◽  
Controller Design ◽  
Mechanical Systems ◽  
Elastic Beam ◽  
Vertical Position ◽  
Logic Control ◽  
Short Period ◽  
Time Periodic

Abstract The fuzzy logic control of mechanical systems with periodic coefficients is considered. The controller design is illustrated through two examples, which include linear as well as nonlinear systems. For the linear case, a controller is designed such that a single inverted pendulum with a time periodic follower force is stabilized in the vertical position. As an example of the nonlinear system, the flap motion of a parametrically excited rotating elastic beam is considered. The controller is designed such that the deflection of the beam tip vanishes in a short period of time.

Experimental Research on Special-Shaped CFST Arch Bridge Model

2011 ◽  
Vol 243-249 ◽  
pp. 1835-1841
Author(s):  
Da Peng Gu ◽  
Yan Jiang Chen ◽  
Wei Ming Yan ◽  
Yong Li
Keyword(s):  
Experimental Research ◽  
Model Test ◽  
Static Model ◽  
Bridge Engineering ◽  
Bridge Structure ◽  
Arch Bridge ◽  
Bridge Model ◽  
Cfst Arch Bridge ◽  
National Road ◽  
Main Bridge

The main bridge structure of the bridge engineering cross Yitong river, on the 102 national road, is a three-Span flying swallow type special-shaped CSFT arch bridge. This paper introduces the design, process and results of the static model test of the CFST arch bridge.

Various Attractors, Coexisting Attractors and Antimonotonicity in a Simple Fourth-Order Memristive Twin-T Oscillator

2018 ◽  
Vol 28 (04) ◽  
pp. 1850050 ◽  
Author(s):  
Ling Zhou ◽  
Chunhua Wang ◽  
Xin Zhang ◽  
Wei Yao
Keyword(s):  
Fourth Order ◽  
Chaotic Systems ◽  
Basin Of Attraction ◽  
Phase Portraits ◽  
Chaotic Attractors ◽  
Coexisting Attractors ◽  
Dynamical Behaviors ◽  
Random Bit Generator ◽  
In Series ◽  
Dynamical Features

By replacing the resistor in a Twin-T network with a generalized flux-controlled memristor, this paper proposes a simple fourth-order memristive Twin-T oscillator. Rich dynamical behaviors can be observed in the dynamical system. The most striking feature is that this system has various periodic orbits and various chaotic attractors generated by adjusting parameter [Formula: see text]. At the same time, coexisting attractors and antimonotonicity are also detected (especially, two full Feigenbaum remerging trees in series are observed in such autonomous chaotic systems). Their dynamical features are analyzed by phase portraits, Lyapunov exponents, bifurcation diagrams and basin of attraction. Moreover, hardware experiments on a breadboard are carried out. Experimental measurements are in accordance with the simulation results. Finally, a multi-channel random bit generator is designed for encryption applications. Numerical results illustrate the usefulness of the random bit generator.

Vibration based damage localization using MEMS on a suspension bridge model

2013 ◽  
Vol 12 (6) ◽  
pp. 679-694 ◽  
Author(s):  
Marco Domaneschi ◽  
Maria Pina Limongelli ◽  
Luca Martinelli
Keyword(s):  
Suspension Bridge ◽  
Damage Localization ◽  
Bridge Model

Based on ANSYS Analysis of Suspension Bridge Transient Dynamics

2013 ◽  
Vol 438-439 ◽  
pp. 869-873
Author(s):  
Bang Sheng Xing ◽  
Xue Feng Wang ◽  
Wei Li
Keyword(s):  
Natural Vibration ◽  
Excitation Frequency ◽  
Suspension Bridge ◽  
Angular Frequency ◽  
Resonance Phenomenon ◽  
Bridge Structure ◽  
Element Analysis ◽  
Ansys Analysis ◽  
Vibration Model ◽  
The Finite Element Analysis

By using the finite element analysis software ANSYS to do the first 10 order modal analysis of suspension bridge, obtaining the natural frequency and natural vibration model, to avoid the structure has resonance phenomenon. The results show that inherent frequencies of the first 10 order of the suspension bridge are far less than the excitation frequency of vehicle, the speed of mobile has obvious influence on the mid-span nodes deflection, when the vehicle goes through the suspension bridge, it usually travels at low speed; vehicles traveling at the same direction have a greater impact on the suspension bridge structure, the maximum mid-span node deflection of the suspension bridge decreases with the increasing of angular frequency.

ALLEE EFFECT IN POPULATION DYNAMICS: EXISTENCE OF BREATHER-LIKE BEHAVIOR AND CONTROL OF CHAOS THROUGH DISPERSAL

2006 ◽  
Vol 16 (07) ◽  
pp. 2001-2012 ◽  
Author(s):  
DESPINA HADJIAVGOUSTI ◽  
SIMOS ICHTIAROGLOU
Keyword(s):  
Allee Effect ◽  
Chaotic Behavior ◽  
Biological Species ◽  
Control Of Chaos ◽  
Localized Solutions ◽  
A Chain ◽  
Dispersal Probability ◽  
And Control ◽  
Time Periodic ◽  
Nonzero Probability

We consider a one-dimensional chain of identical sites, appropriate for colonization by a biological species. The dynamics at each site is subjected to the demographic Allee effect. We consider nonzero probability p of dispersal to the nearby sites and we prove, for small values of p, the existence of asymptotically stable time-periodic and space-localized solutions, such that the central site carries the vast majority of the metapopulation, while the populations at nearby sites attain very small values. We study numerically a chain of three sites, both for the case of open ends or periodic boundary conditions. We study the bifurcations leading to transition from chaotic to periodic behavior and vice-versa and note that the increase of the dispersal probability in both cases controls the chaotic behavior of the metapopulation.

Research on Dynamic Characteristics for Large Span Cable-Stayed Suspension Bridges with CFRP Cables

2013 ◽  
Vol 683 ◽  
pp. 845-850
Author(s):  
Rong Gui Liu ◽  
Guo Ying Feng ◽  
Bei Chen
Keyword(s):  
Dynamic Characteristics ◽  
Natural Vibration ◽  
Natural Frequencies ◽  
Suspension Bridge ◽  
Suspension Bridges ◽  
Bridge Structure ◽  
Reinforced Plastics ◽  
New Type ◽  
Carbon Fibre Reinforced Plastics ◽  
Cable Stayed Bridges

Cable-stayed suspension bridge with Carbon Fibre Reinforced Plastics(CFRP) cables is a new type of bridge structure. To study the dynamic characteristics for this kind of bridges, and its differences from cable-stayed bridges of the same span level, finite element dynamic modle of a Cable-stayed suspension bridge with main span of 1488 meters is established and a series of calculations is done. The results show that, natural frequencies of cable-stayed suspension bridges with CFRP cables are relatively small, integral frequencies are stepped and discontinuous; Its modes are centralized and the natural vibration modes show a lot of coupling; The natural frequencies of this kind of bridges are smaller than cable-stayed bridges of the same span level, the entire stiffness decreased.

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