Abstract
This paper presents a mixed time finite element method for vibration response analysis. The underlying variational formulation is developed from the principle of virtual work. Conventional spatial discretization techniques are adopted. Time discretization is implemented by using mixed time finite elements. The proposed formulation not only forms a unified variational basis for spatial and temporal discretization; it also derives many other robust time step integration algorithms. Unconditionally stable and high order accurate algorithms with variable numerical dissipation can be constructed systematically. Moreover, the proposed formulations can be used to solve linear as well as non-linear problems. The accuracy and stability of the derived algorithms are presented.
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