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Research Papers: Seismic Engineering

# Characteristics and Modeling of Multiple Direction Optimized-Friction Pendulum System With Numerous Sliding Interfaces Subjected to Multidirectional Excitations

[+] Author and Article Information
C. S. Tsai

Department of Civil Engineering, Feng Chia University, Taichung 407, Taiwan

H. C. Su

Department of Water Resources Engineering and Conservation, Feng Chia University, Taichung, Taiwan

Yung-Chang Lin

Student Graduate  Institute of Civil and Hydraulic Engineering, Feng Chia University, Taichung, Taiwan

J. Pressure Vessel Technol 134(2), 021801 (Jan 25, 2012) (8 pages) doi:10.1115/1.4005398 History: Received March 02, 2011; Revised October 20, 2011; Published January 25, 2012; Online January 25, 2012

## Abstract

In this paper, a base isolator called a multiple direction optimized-friction pendulum system (Multiple DO-FPS) with numerous sliding interfaces is proposed. To understand the mechanical behavior of the Multiple DO-FPS isolator under multidirectional excitations, an analytical model called the multiple yield and bounding surfaces model is proposed. On the basis of the derived mathematical formulations for simulation of the characteristics of the Multiple DO-FPS isolation bearing, it is revealed that the natural period and damping effect of the Multiple DO-FPS isolator are a function of the sliding displacement and sliding direction. By virtue of the proposed model, the phenomena of the sliding motions of the Multiple DO-FPS isolator with numerous sliding interfaces subjected to multidirectional excitations can be understood in a simple manner. The analytical results indicate that the natural frequency and damping effect of the Multiple DO-FPS isolator with numerous concave sliding interfaces change continually during earthquakes and are controllable through appropriate designs.

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## Figures

Figure 1

Exploded view of multiple DO-FPS isolator with two intermediates sliding plates

Figure 2

Properties of sliding interfaces in the first and the second subsystem of multiple DO-FPS isolator

Figure 3

Plasticity model of multiple yield and bounding surface for the second subsystem of multiple DO-FPS isolator

Figure 4

(a) First Group of multiple yield and bounding surfaces for 1st subsystem and 4(b): Second group of multiple yield and bounding surfaces for 2nd subsystem before reaching displacement capacity

Figure 5

(a) First Group of multiple yield and bounding surfaces for 1st subsystem and 5(b): Second group of multiple yield and bounding surfaces for 2nd subsystem while contacting displacement restrainers

Figure 6

Displacement increments and sliding directions of both isolator and sliding interfaces

Figure 7

Test set-up for the trench sliding interface

Figure 8

Displacement history on the trench sliding interface

Figure 9

Hysteresis loop of the trench sliding interface

Figure 10

Total displacement history of ground motions in x and y directions

Figure 11

Total displacement orbits of bidirectional displacements of 0.1 m

Figure 12

Hysteresis loop of multiple DO-FPS in x direction under bidirectional displacements of 0.1 m (trench sliding interfaces in x direction)

Figure 13

Hysteresis loop of multiple DO-FPS in y direction under bidirectional displacements of 0.1 m (trench sliding interfaces in x direction)

Figure 14

Force orbits of multiple DO-FPS with eight sliding interfaces in each direction under bidirectional displacements of 0.1 m (trench sliding interfaces in x direction)

Figure 15

Hysteresis loop in x direction for multiple DO-FPS under bidirectional displacements of 0.1 m (trench sliding interfaces in y direction)

Figure 16

Hysteresis loop of multiple DO-FPS in y direction under bidirectional displacements of 0.1 m (trench sliding interfaces in y direction)

Figure 17

Force orbits of multiple DO-FPS with eight sliding interfaces in each direction under bidirectional displacements of 0.1 m (trench sliding interfaces in y direction)

Figure 18

Hysteresis loop of multiple DO-FPS in x direction under bidirectional displacements of 0.6 m (trench sliding interfaces in x direction)

Figure 19

Hysteresis loop of multiple DO-FPS in y direction under bidirectional displacements of 0.6 m (trench sliding interfaces in x direction)

Figure 20

Force orbits of multiple DO-FPS with eight sliding interfaces under bidirectional displacements of 0.6 m (trench sliding interfaces in x direction)

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