Contact model and elastic deformation analysis of plate structure based on the discrete element method

Ye, Jihong

doi:10.1007/s00419-022-02191-5

Cited by 2 publications

(3 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the equation, ∆S represents the incremental internal force of the contact element, including internal force and internal moment; ∆U represents the incremental relative displacement between the two particles of the contact element under the local coordinate system, including relative linear displacement and angular displacement. K e represents the elastic stiffness matrix of the contact element, which includes three translational and three rotational stiffness for both edge and internal contacts, and only one normal stiffness for diagonal contacts, and the corresponding values can be calculated through the following equations [30].…”

Section: Calculation Of Internal Forces In Contact Elementsmentioning

confidence: 99%

“…Professor Ye Jihong's research group [24][25][26][27][28][29] proposed a DEM model for truss structures and derived an expression of the spring contact stiffness coefficient for truss DEM, which was also applied to the vibration, buckling, large deformation, and elastoplastic analyses of frame and grid shell structures. To address the mechanical responses of plate structures under different loading conditions, Guo [30] proposed a single-layer particle arrangement plate discrete element method and derived the contact spring stiffness coefficient between particles based on the principle of energy conservation. Displacement continuity and deformation compatibility were not required by adopting the above-mentioned method, thereby avoiding convergence issues.…”

Section: Introductionmentioning

confidence: 99%

“…Reference [30] provided stiffness coefficients of contact elements in the single-layer particle arrangement plate discrete element method and developed a plate discrete element calculation program in Fortran. However, the generality of this algorithm has not been validated.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Study on the Applicability and Accuracy of the Discrete Element Method for Plates Based on Parameter Sensitivity Analysis

2023

Buildings

Self Cite

View full text Add to dashboard Cite

In order to verify the accuracy and applicability of the discrete element method (DEM) in dealing with geometrically large deformations of continuous plate structures, both a single-parameter analysis and an orthogonal design method were adopted to analyze the displacement responses of the plate structures and were compared with those calculated using the finite element method (FEM). The single-parameter change condition involved the thickness-to-width ratio, elastic modulus, or Poisson’s ratio, while the multi-parameter change included boundary conditions, dimensions, load forms, thickness-to-width ratio, elastic modulus, and Poisson’s ratio. The results showed that displacements of the target locations were basically identical to those obtained according to FEM, with a maximum error of less than 5% under the single-parameter change condition. The maximum displacement error of the plate structures calculated using the DEM and FEM, respectively, was 4.212%, and the mean error and extreme difference of error parameters were 2.633% and 2.184%, respectively. These results indicate that the displacements of the plate structures calculated using the DEM were highly consistent with those obtained according to the FEM. Additionally, single-parameter changes and multi-parameter changes barely influenced the accuracy and suitability of the DEM in solving displacement response problems of plate structures. Therefore, the DEM is applicable in terms of dealing with displacement response problems of plate structures.

show abstract

Section: Calculation Of Internal Forces In Contact Elementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Study on the Applicability and Accuracy of the Discrete Element Method for Plates Based on Parameter Sensitivity Analysis

2023

Buildings

Self Cite

View full text Add to dashboard Cite

show abstract

Optimization Method of Floating Fixture Layout for Distortion Control of Low-Stiffness Thin-Walled Beams

Feng,

Wang,

et al. 2024

Materials

View full text Add to dashboard Cite

The aim is to reduce the elastic deformation of the web and side walls of low-stiffness thin-walled beams when the floating fixture method is used. This paper takes the number and position of fixture points as the optimization variables, establishes a calculation model of elastic deformation, and constructs the objective function of maximum total elastic deformation. An optimized solution utilizing the augmented multiplier method is employed, which forms the basis for the fixture layout optimization method to reduce the elastic deformation of low-stiffness thin-walled beams. A theoretical calculation, simulation analysis, and the fixture layout optimization of total maximum elastic deformation were completed using an aluminum alloy low-stiffness thin-walled beam as an example. The results show that based on the optimized layout, the average relative error between the calculated value and the simulated value of total maximum elastic deformation is 17.43%, and the simulated value of maximum elastic deformation is reduced by 48.49% after optimizing the fixture layout. The measured value is reduced by 0.02 mm on average, and deformation is reduced by 74.07%, which verifies the effectiveness of the floating fixture layout optimization control of machining elastic deformation proposed in this paper.

show abstract

Contact model and elastic deformation analysis of plate structure based on the discrete element method

Cited by 2 publications

References 12 publications

A Study on the Applicability and Accuracy of the Discrete Element Method for Plates Based on Parameter Sensitivity Analysis

A Study on the Applicability and Accuracy of the Discrete Element Method for Plates Based on Parameter Sensitivity Analysis

Optimization Method of Floating Fixture Layout for Distortion Control of Low-Stiffness Thin-Walled Beams

Contact Info

Product

Resources

About