Scientific Conferences of Ukraine, 5th International Conference on Nonlinear Dynamics ND-KhPI2016

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Construction of Nonlinear Normal Modes by Shaw-Pierre via Schur Decomposition
Nikolay V. Perepelkin

Last modified: 2016-09-13

Abstract


In the paper the simplification of construction of nonlinear normal vibration modes by Shaw-Pierre in power series form is considered. The simplification can be obtained via change of variables in the equations of motion of dynamical system under consideration. This change of variables is constructed by means of so-called ordered Schur matrix decomposition. As the result of the transformation there is no need in solving nonlinear algebraic equations in order to evaluate coefficients of nonlinear normal mode.

Keywords
Nonlinear normal modes, matrix transformation, Schur decomposition

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