An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape Aqueducts

Li, Yuchun; Wang, Zhuang

doi:10.1155/2014/672648

Cited by 7 publications

(5 citation statements)

References 17 publications

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“…It is challenging to solve the theoretical solution due to the irregular boundary. Considering this, the Ritz method is adopted to calculate the liquid sloshing frequency of containers of arbitrary shape [22]:…”

Section: Container With Arbitrary Cross Sectionsmentioning

confidence: 99%

A Dynamic Analysis Method of Liquid-Filled Containers Considering the Fluid–Structure Interaction

Fang,

Bao,

Yue

et al. 2024

Applied Sciences

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Based on acoustic fluid elements, a dynamic analysis of liquid sloshing modes and liquid-filled containers was undertaken, considering the effect of fluid–structure interactions (FSIs). The liquid sloshing modes in two-dimensional (2D) and three-dimensional (3D) containers were analyzed, and the results were compared with liquid sloshing modes measured in tests and theoretically calculated modes. This finding thus verifies the correctness of the simulation method based on acoustic fluid elements. Cylindrical liquid-filled containers with different water levels were subjected to a modal analysis and dynamic and time-history analysis. The results show that the finite element analysis (FEA) based on acoustic fluid elements can accurately simulate liquid sloshing modes in liquid-filled containers, as well as the vibration characteristics of these containers with different liquid levels. The vibration frequency of liquid-filled containers decreases with rising liquid levels. The liquid level significantly affects the distribution of the maximum displacement, maximum acceleration, and maximum von Mises stress on the sidewall of liquid-filled containers. Numerical simulations based on acoustic fluid elements provide an effective and reliable method for dynamic analysis of liquid-filled containers considering the effect of FSIs.

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Section: Container With Arbitrary Cross Sectionsmentioning

confidence: 99%

A Dynamic Analysis Method of Liquid-Filled Containers Considering the Fluid–Structure Interaction

Fang,

Bao,

Yue

et al. 2024

Applied Sciences

View full text Add to dashboard Cite

show abstract

“…An container of an arbitrary shape is displayed in Figure 1b, for which it is challenging to solve the theoretical solution due to the irregular boundary. Considering this, the Rize method is adopted to calculate the liquid sloshing frequency of containers in arbitrary shapes [22]:…”

Section: ) Container With Arbitrary Cross Sectionsmentioning

confidence: 99%

Dynamic Analysis Method of Liquid-Filled Containers considering the Fluid-Structure Interaction Effect

Fang,

Bao,

Yue

et al. 2024

Preprint

View full text Add to dashboard Cite

Based on acoustic fluid elements, dynamic analysis was performed on liquid sloshing modes and liquid-filled containers considering the fluid-structure interaction (FSI) effect. The liquid sloshing modes in two-dimensional (2D) and three-dimensional (3D) containers were analyzed, and the results were compared with liquid sloshing modes measured in tests and theoretically calculated modes. This thus verifies correctness of the simulation method based on acoustic fluid elements. Cylindrical liquid-filled containers with different water levels were subjected to modal analysis and dynamic and time-historical analysis. Results show that the finite element analysis (FEA) based on acoustic fluid elements can accurately simulate liquid sloshing modes in liquid-filled containers and vibration characteristics of these containers with different liquid levels. The vibration frequency of liquid-filled containers declines obviously with rising liquid level. The liquid level significantly affects distributions of the maximum displacement, maximum acceleration, and maximum von Mises stress on the sidewall of liquid-filled containers. Numerical simulations based on acoustic fluid elements provides an effective and reliable method for dynamic analysis of liquid-filled containers considering the FSI effect.

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“…The effect of fuel sloshing on the dynamics of the pitch channel under different conditions is studied by changing the sloshing equivalent stiffness. 24 The simulation results are shown in Figure 4. In Figure 4(a), when the fuel cannot slosh, the simulation results of the non-linear model show the same response as the simplified rigid body model.…”

Section: Modeling Of Las-uav Flight Dynamicsmentioning

confidence: 99%

Dynamic Modeling and Control Law Design of a Fuel-electric Hybrid Multi-rotor UAV

Yang

2022

International Journal of Micro Air Vehicles

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In this paper, the design of control law for a new concept fuel-electric hybrid multi-rotor UAV with lift/attitude control separation is investigated. The remarkable feature of the UAV is that it has a large proportion of fuel weight. Firstly, based on the quasi-coordinate Lagrangian equation and sloshing equivalent model using the multi-mass-spring analogy, the non-linear dynamic model of the UAV considering the fuel slosh dynamics is established. Compared with the existing multi-rotor modeling method, it is more intuitive and accurate to describe the non-linear coupling process of sloshing and UAV's motion degrees of freedom. Secondly, the attitude control law is designed based on the finite-time sliding mode observer and cascaded continuous sliding mode controller to eliminate the adverse effects of fuel sloshing and mass changing, and only using the measurable angles. Furthermore, aiming at the problem of power redundancy of the altitude channel, a memoryless non-linear altitude authority assignment controller based on vertical acceleration is proposed for improving the control performance. Finally, the simulation results of the waypoint flight illustrate the feasibility and effectiveness of the proposed control strategy.

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An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape Aqueducts

Cited by 7 publications

References 17 publications

A Dynamic Analysis Method of Liquid-Filled Containers Considering the Fluid–Structure Interaction

A Dynamic Analysis Method of Liquid-Filled Containers Considering the Fluid–Structure Interaction

Dynamic Analysis Method of Liquid-Filled Containers considering the Fluid-Structure Interaction Effect

Dynamic Modeling and Control Law Design of a Fuel-electric Hybrid Multi-rotor UAV

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