Nonlinear Dynamic and Chaotic Mechanism of Two-Member Truss
Date Issued
2004
Date
2004
Author(s)
Liu, Kou-Ruey
DOI
zh-TW
Abstract
In nonlinear dynamic systems, there exists a special behavior that is called chaos. Even in a deterministic system, we can find unpredictable characteristics similar to those in random systems. Such a phenomenon can be found in different fields, including the atmospheric science, ecology, economics, and even stock market. It is our concern that if it exists in the area of civil engineering.
We adopt various analysis measures commonly in chaotic theory, including the Lyapunov exponent, Poincaré maps, and bifurcation diagram, etc., to analyze the chaotic phenomenon of a two-member truss system. We intend to investigate if any chaotic characteristics can be found in such a simple truss structure in civil engineering, particularly the sensitivity to initial conditions, strange attractor and period-doubling route to chaos.
We further combine the concept of static equilibrium path with dynamic loading curve, to discuss the relation between the buckling external force and chaotic boundary. Emphasis has been placed on the physical interpretation of the chaotic phenomena encountered.
Subjects
混沌
渾沌
非線性動力
桁架
chaos
nonlinear dynamic
truss
Type
thesis
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