Model parameters are identifiable if there exists a unique relationship between its input-output behaviour and the parameter values. The concept and approaches of analyzing the identifiability of parameters in mathematical models of nonlinear mechanical systems are presented in this paper. Since a global identifiability test using the analytical approach is intractable for even the simplest models, some numerical approaches to the local identifiability test are developed. It is proposed via the case study that one had better check the local identifiability of the model at the identified parame...