Abstract
The article describes an algorithm for calculating vibrations of rod systems by the finite element method, based on an iterative process that allows taking into account physical and geometric nonlinearity. The iterative process, which takes into account physical nonlinearity, is based on the introduction of the cubic dependence of stresses on deformations into the calculation and the comparison of the secant elastic modulus at each step of the iteration. When calculating the stiffness matrix, an additional term (matrix) is introduced that takes into account geometric nonlinearity. A comparative analysis of the results of the calculation with a linear dependence between stresses and deformations and the calculation with a cubic dependence of stresses on deformations is given.
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