Determination of Stability Correction Parameters for Dynamic Equations of Constrained Multibody Systems

Guizhi, Lyu; Liu, Rong

doi:10.1155/2018/8945301

Cited by 6 publications

(3 citation statements)

References 24 publications

(33 reference statements)

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“…The DAE in Equation ( 123) was implemented in MATLAB using the ode45 function. The Baumgarte numerical stabilization method [59][60][61][62] (with 𝛼 = 20 and 𝛽 = 20) was also employed to stabilize the numerical solution around the constraints.…”

Section: Model Implementation and Discussionmentioning

confidence: 99%

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A Novel Theoretical Model Development and Simulation of Melt‐Electrospinning Using Kane's and Udwadia–Kalaba Methods

Wubneh

Ayranci

Kim

2022

Advcd Theory and Sims

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A novel analytical model development and simulation of melt-electrospinning process is presented. Unconstrained equations of motion for the description of a discretized melt-electrospun fiber are formulated using Kane's method. The motions of the spinneret and the collector plate are also incorporated into the kinematics formulation to simulate direct writing and three-dimensional printing scenarios. Constraints describing viscoelastic joints in the system and the phenomenon of the melt-electrospun fiber adhering to the collector plate are implemented using the Udwadia Kalaba method. Rotational viscoelastic elements are introduced to mimic the dampening of the whipping motion observed in the unstable region. A novel algorithm is devised to continuously run the simulation with no limit on the total duration and phase transitions. System responses such as fiber diameter, collection size, fiber elongations, and jet speeds are monitored for changes in control parameters including applied voltage, collector distance, and flowrate. The results demonstrate close agreement with experimental observations in the literature. The jet starts relatively straight on the onset of its trajectory and develops subtle whipping motion as it advances toward the collector plate. Reduction in the amplitude of the whipping motion is observed once the free end of the fiber adhered to the collector plate.

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Section: Model Implementation and Discussionmentioning

confidence: 99%

“…Substitution of the expressions in Equations ( 56) and ( 59) into Equation ( 53) and using the cross-product identity from Equation (61) yields…”

Section: Generalized Forces and Torquesmentioning

confidence: 99%

A Novel Theoretical Model Development and Simulation of Melt‐Electrospinning Using Kane's and Udwadia–Kalaba Methods

Wubneh

Ayranci

Kim

2022

Advcd Theory and Sims

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“…The stability result of constrained violated is related to the choices of violation stability parameters. 36…”

Section: Trajectory Tracking Of the Four Wheeled Wall-climbing Robotmentioning

confidence: 99%

Dynamic modeling and analysis of wheeled wall-climbing robot

Lyu

Wang

Li³

et al. 2023

Advances in Mechanical Engineering

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The dynamic model is very important for the design of a wall-climbing robot and the final realization of its motion performance. The general process of dynamic modeling and expression equations of dynamic models are given for the wheeled wall-climbing robot based on the modeling method of the Udwadia-Phohomsiri equation. Firstly, the dynamic model of an unconstrained four-wheeled wall-climbing robot is constructed. Then, a trajectory constraint is defined, the rationality of the dynamic model for the unconstrained wall-climbing robot is verified by numerical simulation. Again, constraint equations under the conditions of synchronous toothed belt structure, non-lateral motion and nonslip between the driving wheel and the wall surface are established. Finally, the dynamic model of the unconstrained wall-climbing robot is gradually combined with constraint equations, and numerical simulations are implemented. Numerical simulation results verify the correctness of the wall-climbing robot model and constraint models, as well as the effectiveness and advantages of the modeling method.

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Application of the Bezier integration technique with enhanced stability in forward dynamics of constrained multibody systems with Baumgarte stabilization method

Khoshnazar,

Dastranj,

Azimi

et al. 2023

Engineering with Computers

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Determination of Stability Correction Parameters for Dynamic Equations of Constrained Multibody Systems

Cited by 6 publications

References 24 publications

A Novel Theoretical Model Development and Simulation of Melt‐Electrospinning Using Kane's and Udwadia–Kalaba Methods

A Novel Theoretical Model Development and Simulation of Melt‐Electrospinning Using Kane's and Udwadia–Kalaba Methods

Dynamic modeling and analysis of wheeled wall-climbing robot

Application of the Bezier integration technique with enhanced stability in forward dynamics of constrained multibody systems with Baumgarte stabilization method

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