Abstract

High-rise structures are normally tall and slender with a large height-width ratio. Under the strong seismic action, such a structure may experience violent vibrations and large deformation. In this paper, a spring pendulum pounding tuned mass damper (SPPTMD) system is developed to reduce the seismic response of high-rise structures. This SPPTMD system consists of a barrel limiter with the built-in viscoelastic material and a spring pendulum (SP). This novel type of tuned mass damper (TMD) relies on the internal resonance feature of the spring pendulum and the collision between the added mass and barrel limiter to consume the energy of the main structure. Based on the Hertz-damper model, the motion equation of the structure-SPPTMD system is derived. Furthermore, a power transmission tower is selected to evaluate the vibration reduction performance of the SPPTMD system. Numerical results revealed that the SPPTMD system can effectively reduce structural vibrations; the reduction ratio is greater than that of the spring pendulum. Finally, the influence of the key parameters on the vibration control performance is conducted for future applications.

Highlights

  • The pounding tuned mass damper (PTMD) utilizes the inertial force of the added mass and the collision between the added mass and limiter to consume the kinetic energy of the structure and achieve vibration control effect

  • Denotes the location of the spring pendulum pounding tuned mass damper (SPPTMD); Fs is the nonlinear force generated by the spring of the SPTMD; Fdir denotes the direction of the impact; Fc is the nonlinear pounding force; md is the mass of the mass block; xd and yd denote the displacement of the SPPTMD in the horizontal and vertical direction; Fs,y and Fc,y are the restoring force and the pounding force, respectively, of the spring pendulum in the y direction

  • With regard to the root mean square (RMS) value of the displacement and acceleration, greater reduction ratios are observed with the SPPTMD, increasing from 42.4% to 49.7% and from 41.6% to

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The PTMD utilizes the inertial force of the added mass and the collision between the added mass and limiter to consume the kinetic energy of the structure and achieve vibration control effect. This paper incorporates the collision into the SP and proposes a new type damper, namely the spring pendulum pounding tuned mass damper (SPPTMD). Section deduces the equations discusses the oscillation mitigation effectiveness of the SPPTMD due to variations in of motion for the SPPTMD system and the structure-SPPTMD system based on the Hertzpounding stiffness, mass ratio, damping ratio and gap, which were undertaken analytidamp model. The length of the cable is carefully designed to adjust the frequency of the SMP to match the frequency of the cycloid can be calculated by the following Equation [16]: the structure, in order to obtain optimal damping effectiveness.

Mathematical Model of the SP
Numerical
Schematic
Case Study
The detailed inforTable
17 January 1994
Parametric
Pounding
13. It ed in
Findings
Damping Ratio of the Structure
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