Force analysis of anchor bolts reinforcing rock slope under simple harmonic vibration load

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.