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Amrinsyah Nasution
Department of Civil Engineering, Bandung Institute of Technology, Bandung-Indonesia
Astronomy Computer Science & IT Earth & Planetary Sciences Electrical & Electronics Engineering Energy Engineering

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Dynamic Response of Non-linear Beam Structures in Deterministic and Chaos Perspective Anwar Dolu; Amrinsyah Nasution
Indonesian Journal of Physics Vol 30 No 2 (2019): Vol 30 No 2 (2019)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (600.779 KB) | DOI: 10.5614/itb.ijp.2019.30.2.3

Abstract

The behavior of large deformation beam structures can be modeled based on non-linear geometry due to geometricnonlinearity mid-plane stretching in the presence of axial forces, which is a form a nonlinear beam differential equationof Duffing equation type. Identification of dynamic systems from nonlinear beam differential equations fordeterministic and chaotic responses based on time history, phase plane and Poincare mapping. Chaotic response basedon time history is very sensitive to initial conditions, where small changes to initial terms leads to significant change inthe system, which in this case are displacement x (t) and velocity x’(t) as time increases (t). Based on the phase plane, itshows irregular and non-stationary trajectories, this can also be seen in Poincare mapping which shows strange attractorand produces a fractal pattern. The solution to this Duffing type equation uses the Runge-Kutta numerical method withMAPLE software application.
Co-Authors Anwar Dolu