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.
