Nonlinear Multimodal Model for Tuned Sloshing Dampers With Nonflat Bottoms

Author:

Love J. S.1,Tait M. J.2

Affiliation:

1. Motioneering Inc., 600 Southgate Drive, Guelph, ON N1G 4P6, Canada

2. Department of Civil Engineering, McMaster University, 1280 Main Street West, Hamilton, ON L8S 4L8, Canada

Abstract

Abstract A third-order nonlinear multimodal model is developed for tanks with nonflat bottoms. A six-node finite element model is used to determine the mode shapes of the velocity potential and the associated natural sloshing frequencies. Using this modal information, equations of motion are developed that accommodate the nonlinear coupling among the first three sloshing modes. Damping arising from screens is incorporated into the model using the principle of virtual work. The equations of motion are ordinary differential equations that are solved using the Runge–Kutta–Gill numerical time-stepping method. The model is evaluated with an existing third-order nonlinear multimodal model for a flat-bottom tank and is found to be in excellent agreement. Demonstrative simulations are conducted for tanks with sloped-, boxed-, and ramped-bottoms. The resulting sloshing forces and wave heights at the tank end wall are calculated and presented using time series plots and frequency response plots. The excitation of higher-order sloshing modes through modal coupling results in larger wave heights, and shallower wave troughs. The sloshing forces are less impacted by the responses of higher modes. Secondary resonances are clearly visible in several frequency response plots at frequencies that correspond to the natural sloshing frequency of a higher-order mode divided by an integer. The model is applicable to tanks that are of intermediate water depth with moderate excitation amplitudes, where the response of the second- and third-order sloshing modes are less than the fundamental mode.

Publisher

ASME International

Subject

Mechanical Engineering

Reference26 articles.

1. Tuned Sloshing Dampers in Tall Buildings: A Practical Performance-Based Design Approach;Pract. Period. Struct. Des. Constr.,2021

2. Modelling of Liquid Sloshing in Rectangular Tanks With Flow-Dampening Devices;Eng. Struct.,1998

3. Theoretical Modeling of TLD With Different Tank Geometries Using Linear Long Wave Theory;ASME J. Vib. Acoust.,2009

4. The Performance of Structure-Tuned Liquid Damper Systems With Different Tank Geometries;Struct. Control Heal. Monit.,2008

5. Equivalent Mechanical Models of Tuned Liquid Dampers With Different Tank Geometries;Can. J. Civ. Eng.,2008

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3