Then, the vibration mode of multi-layered rock mass is analyzed through Multiple Reference Impact Testing. It’s found the thin plate is most likely to resonate and damage due to the smallest resonance frequency interval and the largest vibration amplitude by impact wave and rectangular wave respectively. The resonance characteristics of thin plate are obtained with three dynamic loads. Comparing vibration parameters, it’s found the 1st, 5th and 6th order are effective vibration modes. Dual variables are introduced in symplectic space to solve the deflection equations of single-layered thin plate rock mass. However, Hamiltonian mechanics system can overcome this problem. Traditional elastic mechanics can’t effectively solve the complex deformation problem. In underground engineering, disturbance of dynamic load can change layered rock mass stress state and induce accidents.
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