The concrete-filled double skin steel tubular（CFDST）column and steel-concrete composite beam connected by high strength blind bolt is a new assembly type frame composite structure. Applied the OpenSees software and MTS servo-hydraulic loading device，a multi-story frame pseudo-dynamic test is conducted for investigating the dynamic response evaluation of composite structure and deformation-failure detection of test specimen under a rare earthquake，where the vulnerable bottom two-story frame is assigned as test specimen. The axial force loading with horizontal follow-up capability is one of technical difficulties in the pseudo-dynamic test. The simplified boundary with omitted axial force and the approximate boundary with horizontal follow-up axial force are compared. The test results show that under the rare earthquake，the beam-column joint of composite frame will reach the bending collapse first. The joint rotation dissipates the seismic energy，thereby avoiding plastic hinge at the beam ends. Using the high-strength blind bolt，the beam-column joint belongs to semi-rigid joint，which results in a larger layer displacement angle of composite frame than the 2% restriction of the code for seismic design. The axial force is slightly beneficial to increase the horizontal stiffness of CFDST column，the loading scheme of omitting the axial force is an acceptable boundary simplification.