Acta Mechanica Slovaca 2022, 26(2):42-47 | DOI: 10.21496/ams.2021.030

Methods of Linearization of Nonlinear Dynamic System

Erik Prada1, Daxesh Dalal2, Darina Hroncová1, Michal Kelemen ORCID...1
1 Department of Mechatronics, Technical University of Kosice, Faculty of Mechanical Engineering, Kosice, Slovak Republic
2 Department of Mechanical Engineering, Technical University of Kosice, Faculty of Mechanical Engineering, Kosice, Slovak Republic

In This Research paper, described different linearization methods in terms of analytical and numerical simulation (Computer added linearized -FE) method and Digital image correlation method for prediction of loading analysis. Article can be helping for linearization in nonlinearity of systems, that what is using different methods likes Numerical (approximation), Analytical (Exact) and Experimental. Where, analytical is difficult to calculate in computers so it uses numerical methods. That is nearer to exact values so we can determine behaviour of dynamical systems. Numerical simulation is static with different time, so analysis is easy for its. Numerical methods work on algorithms, so it is easy to evaluate for calculating in computers. For future aspects image correlation method is more helpful to determine behaviour of nonlinear dynamic system which will discretize system with different displacement and FEM analyses to dynamically nonlinear system.

Keywords: FEM; Boundary finite element method; exact methods; approximation methods; Lagrange Rayleigh Ritz technique and Monte Carlo simulation; Image correlation methods; Discretization; harmonic balance & static method; Eigen value; Optimal linear and Jacobean linearization methods; Linearized Finite element static energy analysis; Static energy simulatio

Received: March 16, 2021; Revised: July 26, 2021; Accepted: August 4, 2021; Published: June 1, 2022  Show citation

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Prada, E., Dalal, D., Hroncová, D., & Kelemen, M. (2022). Methods of Linearization of Nonlinear Dynamic System. Acta Mechanica Slovaca, 26(2), 42-47. doi: 10.21496/ams.2021.030
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