Study on State Recognition of ASCE Benchmark FEM Based on Lyapunov Exponent Spectrum Entropy

2011 ◽  
Vol 117-119 ◽  
pp. 1526-1530
Author(s):  
Jian Xi Yang ◽  
Jian Ting Zhou ◽  
Feng Qing Han
Keyword(s):  
Finite Element ◽  
Lyapunov Exponent ◽  
Finite Element Model ◽  
Linear Theory ◽  
Element Model ◽  
Time Sequence ◽  
State Recognition ◽  
Structure State ◽  
Lyapunov Index ◽  
Lyapunov Exponent Spectrum

In this paper, ASCE Benchmark Finite Element Model was established and analyzed. Also, The MLI(the max Lyapunov Index) and LISE(Lyapunov Index Spectrum Entropy) has made to recognize state of the FEM using non-linear theory and chaos time sequence. The results show that MLI and LISE are sensitive with the structure state, and the structure system is chaotic.

Study on State Recognition of ASCE Benchmark Based on Lyapunov Exponent Spectrum Entropy

2011 ◽  
Vol 243-249 ◽  
pp. 5435-5439 ◽  
Author(s):  
Jian Xi Yang ◽  
Jian Ting Zhou ◽  
Yue Chen
Keyword(s):  
Lyapunov Exponent ◽  
Time Sequence ◽  
Maximum Lyapunov Exponent ◽  
Entropy Analysis ◽  
Structural System ◽  
Time Duration ◽  
State Recognition ◽  
Chaotic Characteristic ◽  
Lyapunov Exponent Spectrum ◽  
Maximum Lyapunov Exponents

The paper has made a maximum Lyapunov exponent and Lyapunov exponent spectrum entropy analysis of ASCE Benchmark using non-linear theory and chaos time sequence. The maximum Lyapunov exponents in the two kinds of structural monitored data are both over zero, indicating that in the structural system chaos phenomenon has appeared. And, experiments have shown that the maximum Lyapunov exponent is sensitive of the amount of samples and the time delay. So, to compute the chaos index, the amount of samples and the time duration are of importance. Meanwhile, the Lyapunov exponent spectrum entropy is effective to measure the chaotic characteristic of the system, but ,the entropy is less sensitive to state recognition more than the max Lyapunov exponent.

A Study on the State Recognition of Frame Structure Based on the Maximum Lyapunov Exponent

2012 ◽  
Vol 166-169 ◽  
pp. 1230-1236 ◽  
Author(s):  
Juan Yang ◽  
Jian Ting Zhou ◽  
Jian Xi Yang ◽  
Yue Chen
Keyword(s):  
Lyapunov Exponent ◽  
Safety Assessment ◽  
Element Model ◽  
Structural Condition ◽  
Time Sequence ◽  
Frame Structure ◽  
Maximum Lyapunov Exponent ◽  
State Recognition ◽  
Characteristic Index ◽  
New Ideas

Based on the analysis of chaotic time sequence and the characterization to the system chaotic property from it’s characteristic index, we established finite element model about ASCE Benchmark. Then we got 4 acceleration time sequence of Benchmark model by simulation of instantaneous excitation. At last, we made a experimental analysis on the maximum Lyapunov exponent. As the result shows, all maximum Lyapunov exponents are above zero. It means that chaotic phenomenon appears in the structure system. At the same time, maximum Lyapunov exponent shows it’s sensitivity along with the evolution of structural condition. That is to say, the statement of structure could be reflected by the chaotic index of chaotic time sequence. Then we get new ideas on the study of safety assessment relied on the structural health monitoring.

Finite Element Simulation of Tire-Rim Interface

1989 ◽  
Vol 17 (4) ◽  
pp. 305-325 ◽  
Author(s):  
N. T. Tseng ◽  
R. G. Pelle ◽  
J. P. Chang
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Finite Element Simulation ◽  
Contact Pressure ◽  
Element Model ◽  
Experimental Measurements ◽  
Inflation Pressure ◽  
Interference Fit ◽  
Element Simulation ◽  
Rubber Composite

Abstract A finite element model was developed to simulate the tire-rim interface. Elastomers were modeled by nonlinear incompressible elements, whereas plies were simulated by cord-rubber composite elements. Gap elements were used to simulate the opening between tire and rim at zero inflation pressure. This opening closed when the inflation pressure was increased gradually. The predicted distribution of contact pressure at the tire-rim interface agreed very well with the available experimental measurements. Several variations of the tire-rim interference fit were analyzed.

Torsional Analysis of a Steel Cord-Rubber Tire Belt Structure

1996 ◽  
Vol 24 (4) ◽  
pp. 339-348 ◽  
Author(s):  
R. M. V. Pidaparti
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Composite Structures ◽  
Three Dimensional ◽  
Element Model ◽  
Torsional Stiffness ◽  
Element Analysis ◽  
Rubber Belt ◽  
Steel Cord ◽  
Torsional Analysis

Abstract A three-dimensional (3D) beam finite element model was developed to investigate the torsional stiffness of a twisted steel-reinforced cord-rubber belt structure. The present 3D beam element takes into account the coupled extension, bending, and twisting deformations characteristic of the complex behavior of cord-rubber composite structures. The extension-twisting coupling due to the twisted nature of the cords was also considered in the finite element model. The results of torsional stiffness obtained from the finite element analysis for twisted cords and the two-ply steel cord-rubber belt structure are compared to the experimental data and other alternate solutions available in the literature. The effects of cord orientation, anisotropy, and rubber core surrounding the twisted cords on the torsional stiffness properties are presented and discussed.

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