The Use of Topology Optimization in Shaping the Strength of Castings

2014 ◽  
Vol 223 ◽  
pp. 62-69 ◽  
Author(s):  
Stanisław Pysz ◽  
Marcin Małysza ◽  
Jarosław Pieklo

The article discusses some of the issues associated with the use of topology optimization in shaping of the strength of castings. This kind of optimization is performed in the preliminary design phase, when the shape of the constructed part is not yet defined. The limitations that apply to the designing process concern the dimensions, boundary conditions, loads, forces, and cooperation with other structural elements. Topology optimization determines the arrangement of the material in space, so that under the conditions of loads, exploitation, and the design assumptions, the construction will have smallest possible weight. The article presents a few methods of optimization and provides simple examples. The computer calculations were carried out based on, the Finite Element Method (the Abaqus software), and the authors’ subroutines optimization algorithm that uses the results obtained in FEM. The example of the method to optimize the shape of mine shaft tubing is presented. The verification of the casting technology was conducted in MAGMASoft, taking into account the influence of the topology optimization on the production possibilities.

Author(s):  
Yonghong Zhang ◽  
Zhenfei Zhao ◽  
Yaqing Zhang ◽  
Wenjie Ge

Abstract In order to prevent mesh distortion problem arising in topology optimization of compliant mechanism with massive displacement, a meshless Galerkin method was proposed and studied in this paper. The element-free Galerkin method (EFG) is more accurate than the finite element method, and it does not need grids. However, it is difficult to impose complex boundaries. This paper presents a topology optimization method based on interpolation meshless method, which retains the advantages of the finite element method (FEM) that is easy to impose boundary conditions and high accuracy of the meshless method. At the same time, a method of gradually reducing step is proposed to solve the problem of non-linear convergence caused by low-density points in topology optimization. Numerical example shows that these techniques are valid in topology optimization of compliant mechanism considering the geometric nonlinearity, and simultaneously these techniques can also improve the convergence of nonlinearity.


Author(s):  
V. I. Timoshpolsky ◽  
E. I. Marukovich ◽  
I. A. Trusova

This paper presents approaches to the computational analysis of solidification and cooling processes of continuously cast billets in order to improve and develop technological modes in the conditions of modern continuous casting machines using FEM.The application of modern numerical methods for solidification and cooling of workpieces on continuous casting machines is considered. The use of the finite element method is justified when using computational and experimental data for the development and improvement of casting technology.


2020 ◽  
Vol 7 (10) ◽  
pp. 458-470
Author(s):  
Benício de Morais Lacerda ◽  
Alex Gomes Pereira

This study aimed to investigate numerically the validation of the use of the free license program Code_ Aster, with numerical results of the SolidWorks program. For this, four metal elements were modeled, all of them subjected to the tensile stress, they are: a cylindrical bar, two plates with a hole and a metal console. The objective is to validate the use of a free program for analysis of structural elements in engineering office projects and institutional research to verify if the results obtained from the free program show significant differences in the numerical application of a commercial program. All programs have in their design of analysis the use of the finite element method (FEM). The finite element method (FEM) consists to divide a continuous object into a finite number of parts. This allows a complex problem to be transformed into a set of simple problems (finite element) in addition to solving a set of finite elements by approximations with good precision of the results and to model the problem in a real physical way. It was observed that the numerical results between the SolidWorks program and the free program Code_ Aster were close with differences of less than 5%, which indicates the reliability of the use of Code_ Aster for numerical analyzes of structural elements of engineering projects and also in institutional research.


Author(s):  
A.A. Bolshikh ◽  
V.P. Eremin

The paper describes current trends in the design of load-bearing structural elements of modern airliners made using polymer composite materials. In modern passenger airliners, polymer composite materials are used to ensure mass perfection of both lightly loaded elements and critical units, including wing and fin boxes. By means of the finite element method, a box model was created using shell finite elements. Parametric optimization was carried out with account for the anisotropic properties of structural materials. The purpose of the work is to develop a methodology for calculating the structural strength elements of the box and justify the required thicknesses with restrictions on compressive / tensile deformations and loss of stability. The developed methodology makes it possible to obtain a box structure with a minimum mass, while maintaining the necessary stiffness and strength characteristics at the stage of preliminary design.


2017 ◽  
Vol 11 (1) ◽  
pp. 153-166
Author(s):  
Jing Wu ◽  
Li Wu

To cure imperfections such as low accuracy and the lack of ability to nucleate hole in the conventional level set-based topology optimization method, a novel method using a trapezoidal method with discrete design variables is proposed. The proposed method can simultaneously accomplish topology and shape optimization. The finite element method is employed to obtain element properties and provide data for calculating design and topological sensitivities. With the aim of performing the finite element method on a non-conforming mesh, a relation between the level set function and the element densities field has to be clearly defined. The element densities field is obtained by averaging the Heaviside function values. The Lagrange multiplier method is exploited to fulfill the volume constraint. Based on topological and design sensitivity and the trapezoidal method, the Hamilton-Jacobi partial differential equation is updated recursively to find the optimal layout. In order to stabilize the iterations and improve the efficiency of the algorithm, re-initiation of the level set function is necessary. Then, the detailed process of a cantilever design is illustrated. To demonstrate the applications of the proposed method in bridge construction, two numerical examples of a pylon bridge design are introduced. It is shown that the results match practical designs very well, and the proposed method is a helpful tool in bridge design.


2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Mehrdad Mohaddes Pour ◽  
Seyed Sina Razavi Taheri ◽  
Amirhosein moniri abyaneh

Pipelines are one of the most important and key elements that align with transferring hydrocarbon products in coastal and offshore industries which are exposed at various risks during their servicing. In this project, we are studding and describing free spanning of marine pipeline based on DNVGL-RP-F-105 regulation applying the finite element method by Abaqus software. For modeling, case studies of Gorze to Kish oil pipeline have been used. In order to provide and study the integrity of the structure against fatigue, the exact place as well as the free span length using software under environmental loading based on DNVGL-RP-F205 has been determined. Since based on DNVGL-TS-F101 free span causes local buckling, fatigue, and pipe burst then given to the servicing as well as environmental conditions, pipe condition has been monitored. Finally, using sensitivity analysis, the effect of different soil classes, elasticity module, and temperature on the pipe condition has been studied. At the end, the question if it is allowed to use a cross model for bed has been answered in previous studies.


Author(s):  
Yuan Mao Huang ◽  
Jiung-Cheng Pan

This study utilizes the topology optimization with the finite element method and the simulated annealing algorithms to optimize the structure and the dynamic performance of a bike frame with dampers. Design domains, loadings and boundary conditions of bike frames are defined. Joint locations of a damper with the front and the rear frames and the joint location of the front and the rear frames are considered as design variables. The transient response and the acceleration of a bike on a sinusoid curved road surface are analyzed. Effects of the joint locations and the stiffness of frames on the dynamic performance are studied. The structural topology of frames and joint locations of a bike are recommended to improve the dynamic performance.


2018 ◽  
pp. 38-43
Author(s):  
A. V. Gorbunov ◽  
O. I. Zheltyshev ◽  
N. G. Yakovenko

The question of checking the linear drive for resistance to resonance in the structure of the precision positioning mechanism for space applications - hexapod, when it is taken to a near-earth orbit is considered. Calculation of the values of the natural frequencies of the structure is carried out by the finite element method using CAD. The application of the modal analysis of structural elements is presented on the example of the linear actuator case for evaluating the resistance to resonance as one of the criteria for selecting a material. The comparative results of the modal analysis for the variants of the linear actuator housing are presented. Modal analysis of the linear drive is carried out, calculated frequencies and forms of natural oscillations are presented. The initial data for the harmonic analysis of the linear drive are obtained. The compliance of the developed linear drive with the specified requirements has been confirmed.


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