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<p>The dynamic behavior of liquid oscillations within containment structures poses significant risks of the structural instability when subjected to external excitations. In this paper, sloshing behaviors in a rigid rectangular aqueduct equipped with a stationary baffle under horizontal excitation are investigated analytically using the liquid subdomain method. The liquid domain is partitioned into four subdomains according to the artificial surfaces. By utilizing the superposition principle and separation variable method, the liquid velocity potentials including the rigid body and perturbed components are obtained in each subdomain. Then, combined with mode orthogonality, boundary and continuity conditions, the dynamic response equation is constructed. The time history curves of the maximum surface wave height, base shear force and overturning moment are compared with ADINA simulation results to validate the proposed analytical approach. The research reveals that the placement and dimension optimization of baffle structures can significantly reduce steady-state amplitudes in both shear forces and overturning moments, offering valuable insights for engineering applications in the seismic design of the anti-sloshing system. The present method can be utilized to solve the dynamic properties and seismic responses of a baffled liquid-structure system with high accuracy and small calculation cost.</p>

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Sloshing Response of Liquid in a Rectangular Aqueduct with a Rigid Horizontal Baffle by Liquid Subdomain Method

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • Zhongjie Fang,
  • Ying Sun,
  • Jiadong Wang,
  • Zhenyuan Gu,
  • Ding Zhou,
  • Fangzheng Hao

摘要

The dynamic behavior of liquid oscillations within containment structures poses significant risks of the structural instability when subjected to external excitations. In this paper, sloshing behaviors in a rigid rectangular aqueduct equipped with a stationary baffle under horizontal excitation are investigated analytically using the liquid subdomain method. The liquid domain is partitioned into four subdomains according to the artificial surfaces. By utilizing the superposition principle and separation variable method, the liquid velocity potentials including the rigid body and perturbed components are obtained in each subdomain. Then, combined with mode orthogonality, boundary and continuity conditions, the dynamic response equation is constructed. The time history curves of the maximum surface wave height, base shear force and overturning moment are compared with ADINA simulation results to validate the proposed analytical approach. The research reveals that the placement and dimension optimization of baffle structures can significantly reduce steady-state amplitudes in both shear forces and overturning moments, offering valuable insights for engineering applications in the seismic design of the anti-sloshing system. The present method can be utilized to solve the dynamic properties and seismic responses of a baffled liquid-structure system with high accuracy and small calculation cost.