Based on the block dynamics theory

consider simple harmonic vibration of seismic waves. a simplified model of slope bolting support under dynamic loading was established

according to the analysis principles of Pseudo-static. Then

the solutions of slope failure along the slip plane under resonance effect and the expression of internal forces were obtained by using of analytical methods. Based on these

the mechanical solution of bolt is proposed for seismic design. The parameters analysis of the slope bolting support showed that the frequency of seismic waves has a greater impact on sliding displacement amplitudes of damage body. Thus

the resonance phenomenon should be avoided in slope design. Moreover

the bolt spacing has also a greater impact on vibration amplitude of the displacement. As the spacing increases

the displacement amplitude also increases. When bolt spacing is constant

the slope slip displacement increased amplitude is significantly less than other influence parameters with the slope height increasing. With the rock slope angle increases

the displacement amplitude also increased and the bottom slope angle increases from 60° to 90°

the displacement amplitude increases from 7 cm to 25 cm. While the upper slope angle exceeds 25°

the displacement amplitude increases so rapidly that it should be paid enough attention in the design and construction.