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Road to chaos in a Duflng oscillator with time delay loop

Borkowski Łukasz

Mechanics and Mechanical Engineering

2021

Vol. 25, nr 1

84--87

This article examines a single Duffing oscillator with a time delay loop. The research aims to check the impact of the time delay value on the nature of the solution, in particular the scenario of transition to a chaotic solution. Dynamic tools such as bifurcation diagrams, phase portraits, Poincaré maps, and FFT analysis will be used to evaluate the obtained results.

A value of damping factor in relation to the dynamic response for a plate structure

Borkowski Łukasz

Mechanics and Mechanical Engineering

2021

Vol. 25, nr 1

47--52

The subject of the research is the analysis of the impact of damping value on the dynamic response of plate. The work presents the areas of dynamic stability and instability for the different damping values and compared with the plate without damping. Furthermore, the nature of solution for each analyzed case was presented. Research by using the dynamic tools such as phase portraits, Poincaré maps, FFT analysis, the largest Lyapunov exponents were performed. The compatibility of the selected method of stability analysis with the Volmir criterion was also presented.

Influence of the damping effect on the dynamic response of a plate

Borkowski Łukasz

Journal of Theoretical and Applied Mechanics

2019

Vol. 57 nr 1

263--272

The subject of the research is analysis of the influence of the damping effect on the dynamic response of a plate. During the tests, the areas of dynamic stability and instability for the plate with and without damping are compared. Besides, exact analysis of the nature of the solution by applying criteria such as phase portraits, Poincar´e maps, FFT analysis, the largest Lyapunov exponents are carried out and found.