Interval Finite Element for Linear Vibration

Interval variables have an effect on linear vibration. The linear vibration is transformed into a static problem by Newmark method. The perturbation method, Neumann expansion method, Taylor expansion method, Sherman Morrison Woodbury expansion method and a new iterative method of interval finite element for linear vibration are proposed. The detailed derivation processes are explored. 

Keywords: Linear vibration, Perturbation, Neumann expansion, Taylor expansion, Sherman Morrison Woodbury expansion, A new iterative method.