Dynamical Systems: Theoretical and Experimental Analysis: by Jan Awrejcewicz

By Jan Awrejcewicz

The e-book is the second one quantity of a suite of contributions dedicated to analytical, numerical and experimental thoughts of dynamical platforms, awarded on the overseas convention "Dynamical structures: conception and Applications," held in Łódź, Poland on December 7-10, 2015.

The reviews provide deep perception into new views in research, simulation, and optimization of dynamical platforms, emphasizing instructions for destiny study. commonly defined subject matters lined contain: bifurcation and chaos in dynamical platforms, asymptotic tools in nonlinear dynamics, dynamics in lifestyles sciences and bioengineering, unique numerical tools of vibration research, regulate in dynamical structures, balance of dynamical platforms, vibrations of lumped and non-stop sytems, non-smooth platforms, engineering platforms and differential equations, mathematical methods to dynamical structures, and mechatronics.

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References 1. , Iljin, I. Computer-aided generation of equations and structural diagrams for simulation of linear stationary mechanical dynamic systems. Mechanika, 3, 2011, 255–263 p. 2. , Bučinskas, V. Analysis of mechanical structure of Atomic force microscope sensor. Science - Future of Lithuania, 6, 2014, 589–594 p. 3. , Šutinys, E. Modelling of dynamic system of atomic force microscope. International conference Mechatronics ideas for industrial applications, Gdansk university of technology, 2015, 26 p.

This paper is divided into two main sections. The general modelling methodology based on multibody dynamics is introduced and the complex computational model of a transmission system with a sequential gearbox for the particular rally car is presented. This model is further used for numerical simulations of shifting and the results are compared with measured results obtained from experiments. 2 Computational Modelling of a Driving System Theoretical basics suitable for the modelling of studied systems are briefly described in this section.

8 r0 is a coordinate of an assumed source location inside the enclosure. In the case of an arbitrary enclosure, some eigenfunctions are possible that have very small values (but with not many zero points) in the whole space, whereas others are characterized by significant variation from negatives to positives. The first are preferable in the case of reduction of acoustic pressure. Therefore, it is a suitable approach to look for not zeros but some minimal values. It is proposed to concern 1 % of the mean of all absolute values of all eigenfunctions in the considered range ⟨0, N⟩ as a reference, instead of zero.

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