**4. Conclusions**

The proposed theoretical rigid body model can reveal the dynamic characteristics of a mining vibrating screen, with or without spring failures. From the numerical simulation results, using the Newmark-β method, there are certain relationships between the system amplitudes and different spring failures, which can be used for spring failure diagnosis. This information is useful for operations and maintenance staff, to determine whether it is necessary to change one or more springs. However, further study and experiments need to be done to verify the accuracy of this approach.

**Supplementary Materials:** The following are available online at http://www.mdpi.com/2227-7390/7/3/246/s1, Matlab Program for dynamic equation establishments and simulations with spring failures.m, Matlab Program for dynamic equation establishments and simulations without spring failures.m.

**Author Contributions:** Conceptualization, Y.L. and G.M.; Methodology. S.S., L.B., and D.S.; Validation, Y.L. and J.S.; Writing—Original Draft Preparation, Y.L.; Writing—Review & Editing, G.M.; and Visualization, J.S.

**Funding:** This research was funded by the National key research and development program of China, gran<sup>t</sup> number 2016YFC0600900; the National Natural Science Foundation of China, gran<sup>t</sup> number U13611151; and the Yue Qi Distinguished Scholar Project, China University of Mining & Technology, Beijing.

**Conflicts of Interest:** The authors declare no conflict of interest.
