A Total Lagrangian ANCF Liquid Sloshing Approach for Multibody System Applications

Wei, Cheng; Wang, Liang; Shabana, Ahmed A.

doi:10.1115/detc2015-46207

Cited by 6 publications

(13 citation statements)

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“…In order to enhance the stability of the incompressibility, the rate of volume change can be further constrained from the velocity level. 31 The volumetric strain energy related to velocity can be written as…”

Section: Volumetric Strain Energymentioning

confidence: 99%

“…However, due to the large rotation and small deformation characteristics of FFR method, the fluid should be divided into a large number of elements. On the basis of 3D solid element, 27 Wei et al 31 proposed a liquid model based on absolute nodal coordinate formulation and total Lagrangian formulation and also realized the unified modeling of MBS and liquid. The results show that a small number of ANCF element tends to perform better than large number of elements of the FFR formulation.…”

Section: Introductionmentioning

confidence: 99%

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Absolute nodal coordinate finite element approach to the two-dimensional liquid sloshing problems

Pan

Cao

2020

Proceedings of the Institution of Mechanical Engineers, Part K:

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Two-dimensional large-amplitude liquid sloshing in the rectangular rigid container is numerically simulated through absolute nodal coordinate finite element method, which can describe the large deformation of continuum by using a small number of elements. The incompressible constraint of Newtonian fluid is imposed by the penalty function method. Furthermore, the motion of rigid container is described by absolute nodal coordinate reference node and the liquid kinetic equations are derived in the total Lagrangian formulation, which can easily be combined with the solid nonlinear finite element and the multi-body system algorithms. The free sliding and non-penetrating boundary constraint equations for rectangular tank are derived. To ensure the stability and the conservation of the solution in long time simulations, the system dynamic equations are solved by Bathe integral scheme. Three numerical examples are used to verify the effectiveness of the proposed method, including the free spreading of a square liquid column and the large amplitude sloshing of liquid under rotational and horizontal excitations. A good consistency is obtained by comparing the calculated results with experimental and other numerical results reported in the literature.

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Section: Volumetric Strain Energymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Absolute nodal coordinate finite element approach to the two-dimensional liquid sloshing problems

Pan

Cao

2020

Proceedings of the Institution of Mechanical Engineers, Part K:

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“…Different from the conventional ANCF element [1], the solid element of ALE-ANCF includes an additional term a F associated with h a in the dynamic equation (7). The term a F exists for the reason that there is a mass flowing in or out of the element.…”

Section: H E E H H E H H E H H Ementioning

confidence: 99%

“…The readers can refer to [3] and the references therein for a state-of-the-art review of the beam and plate/shell elements of the ANCF. In recent years, a few solid elements [2,[6][7][8] of ANCF have been developed for the modeling and topology optimization [1] of a three-dimensional (3D) FMBS, and for fluid dynamics [7].…”

Section: Introductionmentioning

confidence: 99%

Axially variable-length solid element of absolute nodal coordinate formulation

Sun

Tian

et al. 2019

Acta Mech. Sin.

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An axially variable-length solid element with eight nodes is proposed by integrating the arbitrary Lagrangian-Eulerian (ALE) formulation and the absolute nodal coordinate formulation (ANCF). In addition to the nodal positions and slopes of eight nodes, two material coordinates in the axial direction are used as the generalized coordinates. As a consequence, the nodes in the ALE-ANCF are not associated with any specific material points and the axial length of the solid element can be varied over time. The above two material coordinates give rise to a variable mass matrix and an additional inertial force vector. Computationally efficient formulae of the additional inertial forces and elastic forces, as well as their Jacobians, are also derived. The dynamic equation of a flexible multibody system (FMBS) with variable-length bodies is presented. The maximum and minimum lengths of the boundary elements of an FMBS have to be appropriately defined to ensure accuracy and non-singularity when solving the dynamic equation. Three numerical examples of static and dynamic problems are given to validate the variable-length solid elements of ALE-ANCF and show their capability.

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“…Liquid sloshing refers to the phenomenon in which liquid with a free interface moves in a limited space [19] . Liquid sloshing was mainly studied by theoretical analysis [20,21] , experimental analysis [22,23] , computer simulation analysis [24,25] , etc. Such research has mainly focused on liquid sloshing in large pressure vessels, such as oil tankers [26,27] and spacecraft [28,29] .…”

Section: Introduction mentioning

confidence: 99%

Design and anti-sway performance testing of pesticide tanks in spraying UAVs

Zhang¹,

Zhang²,

Zhou³

et al. 2019

International Journal of Agricultural and Biological Engineering

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Anti-sway performance is one of the most important factors that affect the stability of unmanned aerial vehicles (UAVs). In this study, an anti-sway performance testing method and an evaluation formula for pesticide tanks were developed, which could facilitate the design and application of pesticide tank. The detection device mainly comprises a testing stand, a mounting and testing part, and a driving and control part. In the testing method, P (maximum pressure) measured by a barometer and t (fluctuation recovery time) measured by a high-speed camera were used as evaluation indexes. With the aim to determine the optimal position of the pressure detection device and the optimal filling ratio, four representative pesticide tanks were involved in this study. The results showed that the optimal position of the pressure detection device was at the middle position on the tank wall, halfway up from the bottom, and the optimal filling ratio was 0.8. Using P and t as evaluation indexes, a comprehensive evaluation formula was developed based on these tests: S=0.7P i +0.3t i. Anti-sway performance of pesticide tanks was evaluated by a comprehensive score. A disk pesticide tank with a baffle was determined to be the best among the four types of pesticide tanks, showing a score of 1. The scores of the other three pesticide tanks were 0.500, 0.428 and 0.612, respectively. These results indicated that the baffle structure in the pesticide tank and the radian design of the tank wall can effectively improve the anti-sway performance of a pesticide tank. The proposed detection device and test method are simpler and more intuitive compared to other approaches in evaluating the anti-sway performance of pesticide tanks in spraying UAVs, and they can be used as a reference to guide the design of pesticide tanks and the stability evaluation of spraying UAVs.

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A Total Lagrangian ANCF Liquid Sloshing Approach for Multibody System Applications

Cited by 6 publications

References 0 publications

Absolute nodal coordinate finite element approach to the two-dimensional liquid sloshing problems

Absolute nodal coordinate finite element approach to the two-dimensional liquid sloshing problems

Axially variable-length solid element of absolute nodal coordinate formulation

Design and anti-sway performance testing of pesticide tanks in spraying UAVs

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