Abstract
The dimensional analysis method is applied to study the pounding response of two inelastic single-degree-of-freedom (SDOF) structures under simplified earthquake excitation. The improved Kelvin pounding model is used to simulate the force and deformation of the collider during the contact process. Using bilinear interstory resistance model to simulate the inelastic characteristics of SDOF structures, the expression of dimensionless pounding force and the dimensionless equation of motion during the pounding process are deduced. When dimensionless parameters are used to represent the colliding equation of adjacent inelastic SDOF structures, the variables affecting the pounding response of the adjacent structures are reduced from 14 to 11, which can clearly reflect the rules during the pounding process. The correctness and superiority of the improved Kelvin model are verified by comparing the pounding responses between the improved Kelvin model and Kelvin model. The pounding response of the two inelastic SDOF structures with improved Kelvin model is illustrated in the form of spectra, and the self-similarity of pounding response of the two inelastic SDOF structures is revealed. The effects of structural parameters on the pounding response are analyzed. The results show that the effects of mass ratio, frequency ratio, and initial spacing between the adjacent inelastic SDOF structures on the pounding response of the left-side structure (with smaller mass and stiffness) are closely related to the division of spectral regions. For the right-side structure with larger mass and stiffness, the amplification of pounding on structural response increases with the increase of mass ratio Π m and decreases with the increase of frequency ratio μ and structural spacing Π d .
Highlights
Earthquake disaster is one of the most important natural disasters that the human society is facing nowadays, and it is characterized by suddenness and destructiveness
By studying the dimensional and dimensionless pounding responses of adjacent structures under different excitation acceleration amplitudes, the self-similarity of poundings between two inelastic SDOF structures is proved. e pounding response of two inelastic SDOF structures is studied in the form of spectra. e response of the pounding to the left-side structure is divided into three spectral regions
E effects of structural parameters on the pounding response of two adjacent inelastic SDOF structures are studied in this paper. e results show that the influence of structural parameters on the pounding response of structures with smaller mass and stiffness is closely related to the three spectral regions
Summary
Earthquake disaster is one of the most important natural disasters that the human society is facing nowadays, and it is characterized by suddenness and destructiveness. Sabegh [14] and others considered the near-field earthquake and farfield earthquake and, respectively, analyzed the collision problem of two linear single-degree-of-freedom structures in two cases, selected Kelvin model to simulate the collision contact process, and studied the influence of spacing on the Advances in Civil Engineering peak collision force. Zhang et al [15] simplified the adjacent structure into multiple elastic-plastic single-degree-offreedom structures, analyzed them by precise integration method, and studied the influence of contact element parameters on the collision response. Using dimensional analysis method [17] to study structural pounding with fewer dimensionless Π parameters can reduce the number of parameters and more clearly reflect the rule of adjacent structural pounding response under earthquake excitation [18]. The dimensional analysis method and the improved Kelvin model are used to study the pounding response of two inelastic SDOF structures under simplified seismic excitation. The effects of structural parameters (mass ratio, frequency ratio, and initial spacing) on the pounding response are analyzed
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