The improved element-free Galerkin method for three-dimensional elastoplasticity problems

Portal crane is the most commonly used equipment for cargo handling of large mixed loading ships with its advantages of flexible and convenient operation, wide adaptability, and high loading and unloading efficiency. The reasonable modeling and optimization of the pulling point position of luffing jib of portal crane can reduce the rack force of portal crane and the power consumption output of the rack and pinion during the luffing process. Based on penalty function optimization, the interior point method is used to optimize the pulling point position of luffing jib. Compared with the initial design, the race force of the luffing jib is reduced to a certain extent. In addition, the consistency between the finite element analysis results and the optimization results can be verified, and the effectiveness of the optimization design is also proved through the finite element analysis of portal crane.

Section: Introductionmentioning

confidence: 99%

Modeling and Optimization of Pulling Point Position of Luffing Jib on Portal Crane

Jiao

Qin

Han³

et al. 2021

“…Cheng and Chen studied the IMLS approximation [4] which can make up for the deficiency of the MLS approximation; then the IEFG method is applied for transient heat conduction [5], wave equation [6], fracture [7], elastoplasticity [8], and viscoelasticity [9] problems. e improved complex variable EFG method is presented for wave equation problem [10] and bending problem of thin plate on elastic foundations [11].…”

Section: Introductionmentioning

confidence: 99%

Analyzing 3D Advection-Diffusion Problems by Using the Improved Element-Free Galerkin Method

Cheng

Guo-dong

2020

In this paper, the improved element-free Galerkin (IEFG) method is used for solving 3D advection-diffusion problems. The improved moving least-squares (IMLS) approximation is used to form the trial function, the penalty method is applied to introduce the essential boundary conditions, the Galerkin weak form and the difference method are used to obtain the final discretized equations, and then the formulae of the IEFG method for 3D advection-diffusion problems are presented. The error and the convergence are analyzed by numerical examples, and the numerical results show that the IEFG method not only has a higher computational speed but also can avoid singular matrix of the element-free Galerkin (EFG) method.

“…Chai judged the types of fracture in the mining microseism by moment tensor, analyzed the applicability of moment tensor in engineering [24], and studied the internal fracture mechanism of simulated rock acoustic emission events using T-k diagram method and P-T graph method [25][26][27]. Cheng researched the element-free Galerkin method based on the nonsingular weight functions [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Research on Multijoint Rock Failure Mechanism Based on Moment Tensor Theory

Chai

2020

To reveal the influence of the number and location of joints on rock failure mechanism, using Particle Flow Code (PFC) to simulate the calculation of a large amount of acoustic emission data generated during breeding, development, and penetration of rock cracks, the fracture parameters such as the spatial location, rupture azimuth, rupture type, stress state, and moment magnitude of acoustic emission events in various fracture stages of multijoint rock were studied based on the moment tensor theory, the P-T diagram method, and the T-k diagram method. It will be of great importance in the geotechnical engineering field.