Abstract
The meta-modeling theory seeks modeling that is consistent of continuum mechanics, and derives governing equations of structural mechanics. In this paper, we extend the theory to modeling of connecting structural components. A relatively massive solid element model of the component of bridge structures is converted to a non-linear spring and dashpot which is consistent to the model. The conversion method is regarded as model reduction, and applicable to linear and non-linear components of any configuration and materials. The limitation in applying the reduced model can be clariid by comparing the target solid element model.