Abstract
The paper presents the results of scientific visualization of the nonlinear dynamics of contact interaction of a nanoscale beam structure under the action of an external harmonic load. The beam structure consists of two beams obeying the kinematic hypotheses of Euler-Bernoulli and S.P. Timoshenko. The constructed mathematical model takes into account geometric and constructive nonlinearities. The size-dependent behavior of the structure is implemented on the basis of the modified moment theory of elasticity. The resulting system of partial differential equations is reduced to a system of ordinary differential equations by the second order finite difference method. The Cauchy problem is solved by the fourth order Runge-Kutta method. In this work, using the methods of scientific visualization of the results of applying the methods of nonlinear dynamics, the influence of the size-dependent parameter and external load on the vibrations of the beam structure is investigated. As methods for studying nonlinear dynamics, the work uses wavelet spectra based on the mother Morlet, Fourier power spectra, signals. The use of scientific visualization methods makes it possible to develop specific recommendations for the operating conditions of the beam structure. This, in turn, makes it possible to avoid unwanted vibration modes of beam nanostructures, which are widely used as sensitive elements of sensors of micro and nano electromechanical systems.
Highlights
Scientific visualization is one of the effective methods of analysis of data obtained as a result of numerical experiments, it is widely used in various kinds of research [1], [2]
The main objective of this work is the application of scientific visualization methods to study the nonlinear dynamics of a nanoscale beam structure
Such beam structures are components of sensitive elements of various nanoelectromechanical systems and sensors and during the operation of such systems can be subjected to various external influences, including dynamic ones [3]
Summary
Scientific visualization is one of the effective methods of analysis of data obtained as a result of numerical experiments, it is widely used in various kinds of research [1], [2]. The main objective of this work is the application of scientific visualization methods to study the nonlinear dynamics of a nanoscale beam structure. Such beam structures are components of sensitive elements of various nanoelectromechanical systems and sensors and during the operation of such systems can be subjected to various external influences, including dynamic ones [3]
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More From: Proceedings of the 30th International Conference on Computer Graphics and Machine Vision (GraphiCon 2020). Part 2
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