Theoretical and Experimental Study of the Pounding Response for Adjacent Inelastic MDOF Structures Based on Dimensional Analysis

Ziliang Liu,Qiaoyun Wu,Xuyong Chen,Tao Wang,Kaiming Bi

doi:10.1155/2021/6801821

Abstract

Dimensional analysis is applied to study the pounding response of two inelastic multidegree of freedom (MDOF) structures under simplified earthquake excitation. The forces and deformations of the collision processes are simulated by adopting the improved Kelvin pounding model. The inelastic characteristics of MDOF structures are described by the bilinear interstory resistance model, and the representations of dimensionless impact force and the dimensionless motion equation in the pounding process are derived. On the basis of the above-mentioned theoretical deduction, the superiority of the improved Kelvin model is verified by comparing the impact response of the improved Kelvin model and the Kelvin model. Finally, the validity of the proposed theoretical method is further proved by the comparison between results from the shaking table tests of adjacent four-story and three-story steel frame structures and the corresponding numerical results obtained by the MATLAB program.

Highlights

IntroductionE pounding force generated during the collision of two adjacent inelastic multidegree of freedom (MDOF) structures is simulated by using an improved Kelvin pounding analytical model
Two models are used to simplify the simulations of the ground motion, which are the harmonic and pulse excitation models [25]. e ground motion excitation is assumed to be sinusoidal excitation in this paper. e acceleration amplitude is represented by ap, and the circular frequency is represented by ωp
Comparison of the Numerical Simulation Results with the Experimental Model Results. e four-story steel frame model and the three-story steel frame model are simplified into the lumped mass model, where the mass of each story isX/ap

Summary

Introduction

E pounding force generated during the collision of two adjacent inelastic MDOF structures is simulated by using an improved Kelvin pounding analytical model. E improved Kelvin analytical model is shown, and the pounding force can be expressed as. Equations (1)–(3) show that the time-varying damping coefficients c have overcome the theoretical shortcomings of the Kelvin model, which involve the uniform energy loss in the contact and rebound stages of pounding, including the pounding force at the beginning of the collision and the pulling force during the rebound phase of the collision. The acceleration amplitude and angular frequency of ground motion are required to study the seismic pounding responses of adjacent inelastic MDOF structures by using the dimensional analysis method. Two models are used to simplify the simulations of the ground motion, which are the harmonic and pulse excitation models [25]. Two models are used to simplify the simulations of the ground motion, which are the harmonic and pulse excitation models [25]. e ground motion excitation is assumed to be sinusoidal excitation in this paper. e acceleration amplitude is represented by ap, and the circular frequency is represented by ωp

Methods

Results

Conclusion