Local search gradient algorithm based on functional voxel modeling

Григорьев, С. Н.; Tolok, A. V.; Tolok, N. B.

doi:10.1134/s0361768817050048

Cited by 7 publications

(3 citation statements)

References 2 publications

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“…7). , l=1…4, P=256 -halftone palette (5) The image in Figure 8b depicts the result of displaying the image of tangent stresses for a local load, modeled by the FEM method. The red region is the region of maximum positive values of the function , and the blue region is negative -the minimum.…”

Section: Fv-model Of Tangent Unit Stressmentioning

confidence: 99%

“…Uniform thickening of the grid leads to an increase in the estimated time, and even to a lack of RAM in the computer. The approach to the construction a local stress model considered in the article is one of the directions of a whole series of studies conducted by prof. Tolok A.V.It is devoted to the application of the functional voxel modeling method (VFM) [4] in solving engineering problems of the life cycle.Prior to this, such problems as finding the path with obstacles [5], problems of geometric modeling [6], problems of calculating the integral values of objects of complex geometry [7], solving mathematical programming problems [8], etc. were considered.The basis of the PCM method is the principle of organizing symbolic and graphical information on a computer that combines the analytical form for describing the space of a function ( ) = 0 with a multidimensional model of a voxel representation of its local geometric characteristics.…”

Section: Introductionmentioning

confidence: 99%

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Visual diagnostics of physical quantities based on the functional-voxel modeling method

Tolok¹,

Loktev²,

Tolok³

et al. 2020

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The paper proposes a method of functional voxel modeling (FVM) of stresses arising under the influence of a force or heat load in an isotropic body. We consider the principles of modeling the unit stress in a volume vector a geometric object, set by analogy with the normal vector with two parameters: the function of the value and the function of the angle of direction.The principles of constructing a functional-voxel model are demonstrated that allows a computer to graphically represent a three-dimensional vector as a set of M-images displaying local geometric characteristics of the obtained functional area.The possibilities of constructing stress fields from distributed loads by means of sequential addition of a single stress distributed in space are considered. The principles of constructing a single thermal stress and constructing distributed fields based on it are considered separately. Existing approaches are used to model the shape of thermal expansion of the body. The obtained visual images of stresses and strains are compared with the simulated results in the existing computational modules based on FEM. The advantages of visualizing the results obtained from the standpoint of accuracy and clarity of representation are demonstrated. The prospects of such an approach to modeling visual physical quantities in relation to the visual diagnostics of the part geometry are considered.

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Section: Fv-model Of Tangent Unit Stressmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Visual diagnostics of physical quantities based on the functional-voxel modeling method

Tolok¹,

Loktev²,

Tolok³

et al. 2020

View full text Add to dashboard Cite

show abstract

“…Similar studies have been successfully carried out on the implementation of problems of local optimization of the path to the goal with obstacle avoidance [6] and in the development of functional-voxel modeling of mathematical programming problems [7]. Based on the proposed approach, various formulations of the path finding problem have already been implemented [6,[13][14].…”

Section: Urgency Of the Problemmentioning

confidence: 99%