Experimental Validation of Numerical Model for Bi-Tilt-Isolator

Bi-Tilt Isolator (BTI) is composed of bi-tilt beveled substrate and slider. The advantages of BTI are that the maximum upload seismic force of structure can be easily controlled and displacement of isolation layer will be reduced. Sliding force, friction force, and impulse force are caused in the sl...

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Main Authors: Ming-Hsiang Shih, Wen-Pei Sung, Chia-Yu Ho
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2018/7163516
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author Ming-Hsiang Shih
Wen-Pei Sung
Chia-Yu Ho
author_facet Ming-Hsiang Shih
Wen-Pei Sung
Chia-Yu Ho
author_sort Ming-Hsiang Shih
collection DOAJ
description Bi-Tilt Isolator (BTI) is composed of bi-tilt beveled substrate and slider. The advantages of BTI are that the maximum upload seismic force of structure can be easily controlled and displacement of isolation layer will be reduced. Sliding force, friction force, and impulse force are caused in the slanting process of BTI, nonlinear behavior. A nonlinear mathematical model is derived based on the sliding upwards, sliding downwards, and transition stages. Then, BTI element of nonlinear analysis program, GENDYN, is developed by the fourth-order Runge-Kutta method, the discretized ordinary differential equation for three movement stages of BTI. Then, test set-up of superstructure installed with BTI is tested and recorded the real displacement and acceleration responses under conditions of full lubrication, mild lubrication, and without lubrication between interface of bi-tilt beveled substrate and slider with three various initial displacements. The comparison of simulation results and test results shows the following: (1) root mean square error is below 1.35% for WD40 sprayed, 0.47% for WD40 whipped, and 0.54% for without lubrication, respectively; (2) the maximum root mean square error for simulating with cubic polynomial function of friction is much less than those of constant friction except conditions of full lubrication, which are not affected by kinetic friction force; (3) application of cubic polynomial function for simulating friction of BTI with three different lubricated conditions can perform very fine simulation results, compared with the test results. This proposed mathematical model and BTI element of GENDYN program, using cubic polynomial function of friction, perform fine simulation capability to assess nonlinear isolation effect of structure installed with BTI.
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spelling doaj-art-64645c5937254be49a9c8addffad80e82025-02-03T01:02:59ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/71635167163516Experimental Validation of Numerical Model for Bi-Tilt-IsolatorMing-Hsiang Shih0Wen-Pei Sung1Chia-Yu Ho2Department of Civil Engineering, National Chi Nan University, Nantou 545, TaiwanDepartment of Landscape Architecture, Integrated Research Center for Green Living Technologies, National Chin-Yi University of Technology, Taichung 41170, TaiwanDepartment of Civil Engineering, National Chi Nan University, Nantou 545, TaiwanBi-Tilt Isolator (BTI) is composed of bi-tilt beveled substrate and slider. The advantages of BTI are that the maximum upload seismic force of structure can be easily controlled and displacement of isolation layer will be reduced. Sliding force, friction force, and impulse force are caused in the slanting process of BTI, nonlinear behavior. A nonlinear mathematical model is derived based on the sliding upwards, sliding downwards, and transition stages. Then, BTI element of nonlinear analysis program, GENDYN, is developed by the fourth-order Runge-Kutta method, the discretized ordinary differential equation for three movement stages of BTI. Then, test set-up of superstructure installed with BTI is tested and recorded the real displacement and acceleration responses under conditions of full lubrication, mild lubrication, and without lubrication between interface of bi-tilt beveled substrate and slider with three various initial displacements. The comparison of simulation results and test results shows the following: (1) root mean square error is below 1.35% for WD40 sprayed, 0.47% for WD40 whipped, and 0.54% for without lubrication, respectively; (2) the maximum root mean square error for simulating with cubic polynomial function of friction is much less than those of constant friction except conditions of full lubrication, which are not affected by kinetic friction force; (3) application of cubic polynomial function for simulating friction of BTI with three different lubricated conditions can perform very fine simulation results, compared with the test results. This proposed mathematical model and BTI element of GENDYN program, using cubic polynomial function of friction, perform fine simulation capability to assess nonlinear isolation effect of structure installed with BTI.http://dx.doi.org/10.1155/2018/7163516
spellingShingle Ming-Hsiang Shih
Wen-Pei Sung
Chia-Yu Ho
Experimental Validation of Numerical Model for Bi-Tilt-Isolator
Shock and Vibration
title Experimental Validation of Numerical Model for Bi-Tilt-Isolator
title_full Experimental Validation of Numerical Model for Bi-Tilt-Isolator
title_fullStr Experimental Validation of Numerical Model for Bi-Tilt-Isolator
title_full_unstemmed Experimental Validation of Numerical Model for Bi-Tilt-Isolator
title_short Experimental Validation of Numerical Model for Bi-Tilt-Isolator
title_sort experimental validation of numerical model for bi tilt isolator
url http://dx.doi.org/10.1155/2018/7163516
work_keys_str_mv AT minghsiangshih experimentalvalidationofnumericalmodelforbitiltisolator
AT wenpeisung experimentalvalidationofnumericalmodelforbitiltisolator
AT chiayuho experimentalvalidationofnumericalmodelforbitiltisolator