Free Vibration of Liquid-Storage Tanks Based on Bending- Shearing Model

Xuansheng Cheng (), Yongfeng Du, Hui Li and Xiaoyu Shi
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Xuansheng Cheng: Lanzhou University of Technology, Institute of Earthquake Protection and Disaster Mitigation
Yongfeng Du: Lanzhou University of Technology, Institute of Earthquake Protection and Disaster Mitigation
Hui Li: Lanzhou University of Technology, Institute of Earthquake Protection and Disaster Mitigation
Xiaoyu Shi: Lanzhou University of Technology, Institute of Earthquake Protection and Disaster Mitigation

A chapter in Computational Mechanics, 2007, pp 401-401 from Springer

Abstract: Abstract Liquid-storage tanks, which are most widely used to reserve rinsing, sewerage , petroleum and chemistry liquid etc., are broadly applied in such industry corporations as water-supply and drainage industry, sewerage-disposal industry, petroleum industry, chemistry industry and so on. For the sake of calculating dominant earthquake response of these structures, the characteristics of their free vibration have to be known beforehand like frequency of free vibration and corresponding oscillation mode. In this paper, the equations of oscillation-mode and frequency based on bending-shearing model are formulated for the cases of empty liquid-storage tanks. At the same time, the calculation tables of the first three oscillation modes are presented by using MATLAB program to facilitate a convenient application in engineering, and the functions for free-vibration frequency and oscillation mode are derived. The result is further explained by calculation example, and can be provided as a theoretical basis for the analysis of subsequent earthquake response of this type of structure.

Keywords: Computational Mathematic; Chemistry Industry; Theoretical Basis; Free Vibration; Oscillation Mode (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75999-7_201

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DOI: 10.1007/978-3-540-75999-7_201

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