Dynamic model and seismic response for slope supported by frame structure witch pre-stressed anchors

Based on soil dynamics and structural dynamics theory, a dynamic model of frame structure with pre-stressed anchors for the slope is proposed, seismic response of a supporting slope was obtained under the condition of horizontal earthquake excitation. According to horizontal slice method, and the influence of slope height on seismic soil pressure distribution is considered. The soil pressure acting on the supporting structure is regarded as inverse triangles on the condition of earthquake. The influence of dynamic response with prestressing force for the supporting structure, The frame anchors analysis model consists of a set of discrete lumped masses based on the concentrated mass method. Frame structure and soil is connected by anchors with spring supports, prestressing force is applied to anchors through the given initial design value. Corresponding control equation of motion is established by taking the frame columns as calculating unit. The axial force increment on each frame node can be obtained based on dynamic soil pressure, pressing force and seismic excitation.The results of dynamic soil pressure and modal response can provide reference for the seismic design of slope supported with frame-anchors.