Determination of Workspace Volume of Parallel Manipulators Using Monte Carlo Method

Chaudhury, Arkadeep Narayan; Ghosal, Ashitava

doi:10.1007/978-3-319-60867-9_37

Cited by 7 publications

(2 citation statements)

References 7 publications

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“…In [24], Monte Carlo method is applied to the study of slider air bearing. In [25], a workspace determination method for parallel robots was presented by the Monte Carlo simulation. An integral definition method of the axial stiffness of an axial permanent magnet bearing is based on molecular current model, and comparison was performed on results of the Monte Carlo and finite element methods in [26].…”

Section: Introductionmentioning

confidence: 99%

Design, Analysis, and Experiment of Multiring Permanent Magnet Bearings by Means of Equally Distributed Sequences Based Monte Carlo Method

Zhang

et al. 2019

Mathematical Problems in Engineering

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Load-carrying capacity analysis is an important procedure for designing the permanent magnet bearing (PMB). Generally, the magnetic force exerted between the ring magnets of PMB can be modeled by means of the equivalent magnetic charge method. In this case, the analytical methods are always simply compared to numerical methods; however, they are restricted by their applicability. The model based on the equivalent magnetic charge method contains multiple integrals; it is difficult to get the simulation results quickly through self-contained function of MATLAB. The equally distributed sequences based Monte Carlo method is used to simplify the complicated mathematical derivation and calculus of bearing capacity characteristics of multiring PMBs, and it might improve the computational efficiency of PMB structure design. The results of the Monte Carlo model are compared with the results of finite element analysis (FEA) using ANSYS, and the error correction factor is presented. The theoretical model is verified by the finite element analysis. Finally, the bearing forces in radial and axial directions of the PMBs with 4 pairs of magnetic rings were tested experimentally; the experiment result is approximately agreed with the simulation analysis. This method will be perfect for the engineering application involving multiring structural design of PMBs.

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Section: Introductionmentioning

confidence: 99%

Design, Analysis, and Experiment of Multiring Permanent Magnet Bearings by Means of Equally Distributed Sequences Based Monte Carlo Method

Zhang

et al. 2019

Mathematical Problems in Engineering

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“…Monte Carlo Method (MCM) constructs a probabilistic model that approximates the performance of the system and performs random experiments on a digital computer [8]. It is very common to calculate the solid volume represented by the boundary with MCM [9,10]. Currently when using MCM to measure a volume, the boundary is usually obtained by laser scanning, which can provide the boundary points cloud.…”

Section: Introductionmentioning

confidence: 99%

Vertical tank capacity measurement based on Monte Carlo method

et al. 2021

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Vertical tanks are commonly used appliances for liquids, and its capacity is very important for quantitative liquid ratio and liquid trade. In order to measure the capacity of vertical tanks more conveniently, this paper proposes a vertical tank capacity measurement method based on Monte Carlo Method. The method arranges a plurality of sensor points on the inner surface of the tank, and then performs Monte Carlo tests by generating a large number of random sample points, and finally calculates the capacity by counting the sample points that meet the criterion. The criterion for whether a sample point is located in the tank, which is the core issue, is established with the coordinates of sensor points and the distance between different sensor points along the surface of the tank. The results show that the absolute error of the measurement results of the proposed method does not exceed ±0.0003[m3], and the absolute error of capacity per unit volume has a linear relationship with the height of the vertical tank, and has little effect with the radial size of the vertical tank.

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Exploring the Workspace of a Robot with Three Degrees of Freedom

Nosova

Misyurin

2022

Studies in Computational Intelligence

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Determination of Workspace Volume of Parallel Manipulators Using Monte Carlo Method

Cited by 7 publications

References 7 publications

Design, Analysis, and Experiment of Multiring Permanent Magnet Bearings by Means of Equally Distributed Sequences Based Monte Carlo Method

Design, Analysis, and Experiment of Multiring Permanent Magnet Bearings by Means of Equally Distributed Sequences Based Monte Carlo Method

Vertical tank capacity measurement based on Monte Carlo method

Exploring the Workspace of a Robot with Three Degrees of Freedom

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