Dynamic modelling and analysis for a flexible brush sampling mechanism

Lei, Bo; Ma, Ziqi; Liu, Jinyang; Liu, Caishan

doi:10.1007/s11044-022-09848-7

Cited by 8 publications

(3 citation statements)

References 39 publications

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“…These elements have been widely used in the nonlinear analysis of a wide range of challenging applications, some of which have complex geometry. 38…”

Section: Ancf Mesh Topologymentioning

confidence: 99%

Mechanically induced temperature oscillations in the coupled thermo-elasticity analysis of articulated dynamical systems

Shabana

2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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This article discusses a new approach for predicting and quantifying mechanically induced temperature oscillations in the coupled thermo-elasticity analysis of articulated mechanical systems (AMS). In this approach, the constrained equations of motion are solved simultaneously with discrete temperature equations obtained by converting heat partial-differential equation to a set of first-order ordinary differential equations. Dependence of the temperature gradients and their spatial derivatives on the position gradients, spinning motion, and curvatures is discussed. The approach captures dependence of the temperature-oscillation frequencies on the mechanical-displacement frequencies. The temperature field can be selected to ensure continuity of the temperature gradients at the nodal points. To generalize the AMS coupled thermo-elasticity formulation and capture the effect of the boundary and motion constraints (BMC) on the thermal expansion, the proposed method is based on integrating thermodynamics and Lagrange-D’Alembert principles. The absolute nodal coordinate formulation (ANCF) is used to describe continuum displacement and obtain accurate description of the reference-configuration geometry and change of this geometry due to deformations. A thermal-analysis large-displacement formulation is used to allow converting heat energy to kinetic energy, ensuring stress-free thermal expansion in case of unconstrained uniform thermal expansion. Cholesky heat coordinates are used to define an identity coefficient matrix for the efficient solution of the discretized heat equations. The approach presented is applicable to the two different forms of the heat equation used in the literature; one form is explicit function of the stresses while the other form does not depend explicitly on the stresses. Because of the need for using ANCF finite elements to achieve a higher degree of continuity in the coupled thermomechanical approach introduced in this article, the concept of the ANCF mesh topology is discussed.

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“…These elements have been widely used in the nonlinear analysis of a wide range of challenging applications, some of which have complex geometry. 38…”

Section: Ancf Mesh Topologymentioning

confidence: 99%

Mechanically induced temperature oscillations in the coupled thermo-elasticity analysis of articulated dynamical systems

Shabana

2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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“…Ma [18] developed a dynamic model to analyze satellite detumbling using a brush-type contactor based on flexible multibody dynamics. Liu [19] adopted a flexible approach to create a dynamic model of a brush sampling mechanism. Ma [20] introduced a flexible brush-type model to identify wear in soil removal machines and increase the machine's lifetime.…”

Section: Introductionmentioning

confidence: 99%

Numerical and Machine-Aided Experimental Models for Simulating the 3D Compliance of a Toothbrush

Cirelli,

Cellupica,

D’Angelo

et al. 2023

Machines

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One of the most discussed topics in toothbrush design is identifying the contact force exerted by the bristles on the teeth. Each bristle must generate a contact force to ensure tooth cleaning without damaging it. Numerical simulation is a very powerful tool for understanding the influence of design parameters (bristle shape and materials). This paper proposes a flexible multibody model to efficiently simulate the 3D compliance of a toothbrush. Each bristle is modeled using a discrete, flexible approach. The contact between the bristles and the target surface is established using the penalty contact method. An experimental test bench with a Universal Robot and a flat, transparent surface is set up. Validation is provided by comparing the reaction forces of the toothbrush with the reaction forces acquired by the load cells mounted on the end effector of the Robot. The results demonstrate the accuracy of estimating normal and tangential forces in various operating situations. The discrete flexible multibody technique has also demonstrated its viability in evaluating the displacement of the bristles when the toothbrush’s base body is put through a specified motion, even when it is exposed to a sudden change in direction. As a result, the model can be effectively utilized to assess how well various brush classes remove dental plaque. Therefore, the suggested model could provide guidance for holistic modeling and advancements in toothbrush design to boost their effectiveness for thorough cleaning.

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“…Tang and Liu [39] modeled the frictional contact in sliding joints with clearances, and generalized the regularized Coulomb friction law into ANCF beam and rigid hole considering the stick-slip transition. Lei et al [40] presented a strong coupling modelling method for the rigid bodies and the large deformed beams in contact interaction with the granular matter to simulate the flexible brush sampling process. To avoid mutual penetration of plate element with large deformation, a mixed method combining the node-to-surface, edge-to-surface and surface-to-surface contact elements based on ANCF was proposed by the authors [41,42].…”

Section: Introductionmentioning

confidence: 99%

Rigid–flexible–thermal coupling dynamics of a hub and multiplate system considering frictional contact

et al. 2023

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A geometric nonlinear modeling approach for strong rigid-flexible-thermal coupling dynamics of the hub and multi-plate system considering frictional contact is proposed. Based on the absolute nodal coordinate formulation (ANCF), a thermal integrated ANCF thin plate element is developed, where the temperature field is expressed with Taylor polynomials to yield two-dimensional heat conduction equations. Different from the traditional coupling formulations, the influences of the attitude motion and structural deformation on the intensity of the solar radiation, the geometric nonlinearity of the plate as well as the frictional contact are taken into account. The normal contact is formulated by the penalty method, and the tangential friction considers the stick-slip transition. To solve the strong rigid-flexible-thermal coupling equations, a novel numerical method combining the modified central difference approach and the generalized- method is proposed. Two validations are performed to verify the proposed thermal-structural coupling model, which proves the importance of the geometric nonlinearity and can capture the thermally induced vibration. Then the thermal-dynamic coupling analysis for the satellite and solar array multibody system in thermal environment is carried out. The dynamic characteristics of the thermally induced vibration can be successfully revealed by the rigid-flexible-thermal coupling model. Furthermore, it is indicated that the influence of contact and thermal load on the nonlinear behavior of the solar array deployment is essential, which demonstrates the feasibility of the proposed approach.

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Dynamic modelling and analysis for a flexible brush sampling mechanism

Cited by 8 publications

References 39 publications

Mechanically induced temperature oscillations in the coupled thermo-elasticity analysis of articulated dynamical systems

Mechanically induced temperature oscillations in the coupled thermo-elasticity analysis of articulated dynamical systems

Numerical and Machine-Aided Experimental Models for Simulating the 3D Compliance of a Toothbrush

Rigid–flexible–thermal coupling dynamics of a hub and multiplate system considering frictional contact

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