Abstract
The transient and steady state motions of elastic mechanisms are studied with a finite element method in both the space and the time domains. The conventional spatial finite element method leads to a linear time varying model describing the system responses. The temporal finite element method transforms the resulting dynamic equations into a set of linear algebraic equations with block diagonal coefficient matrices. The finite element method in the time domain is based on a Hamilton's weak principle, paralleling the variational methods in elastostatics
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