Nonlinear Vibration Analysis of Interval Finite Element

 For the influence of non-probabilistic parameters on nonlinear vibration, the nonlinear vibration analysis of interval finite element is proposed. Using the Newmark method, nonlinear vibration is transformed into nonlinear equations. The midpoint values of interval variables are substituted into the nonlinear equations to calculate the displacement. The displacement value is substituted into the nonlinear equations, and the nonlinear equations become linear equations. Five calculation methods of interval finite element for linear vibration are extended to nonlinear vibration.

Keywords: Nonlinear vibration analysis, Newmark method, nonlinear equations, linear equations, five calculation methods, interval variable, interval finite element.