Fractal Plots of Topology Optimization Efficiency in Solving of the Problem for Strength Dependence on the Grid

2020 ◽  
Vol 8 (3) ◽  
pp. 25-35
Author(s):  
L. Zhikharev

In this research is solved the problem for determining of dependencies describing the strength redundancy of a part obtained by means of topology optimization using the SIMP method under a variety of grid’s finite elements. For this purpose, in the research was performed a digital experiment, during which almost fifty variants of part’s computer models were obtained, and their mechanical properties were studied. Based on the obtained data were constructed plots for the strength efficiency of topological optimization, which reflect fractal properties of part’s strength parameters changing. Upon reaching the research goal were solved the problems of software selection and applying a programs combination, which allowed automate the creation of models based on the topology optimization results. The main tool for topology optimization was the Autodesk Fusion 360 product, providing a free access to cloud computing, and Autodesk ReCap Photo was used when models converting. On the results of the experiment were formulated recommendations for obtaining the part’s optimized topology without critical defects of shape, using the SIMP method. With great probability, these recommendations are important when using other methods for topological optimization, such as ESO, BESO, or Level-Set. The received recommendations were tested in solution the problem of increasing the structures’ strength efficiency on the example of the rocker-Bogie wheel suspension using in modern Curiosity-type Mars rovers. The topology optimization results are openwork parts that can withstand heavy loads at low weight. This was confirmed by strength analysis, which had showed an increase in specific strength up to 13.5 times, relative to the prototype used in the Curiosity-type Mars rover’s suspension.

Author(s):  
James M. Gibert ◽  
Georges M. Fadel

This paper provides two separate methodologies for implementing the Voronoi Cell Finite Element Method (VCFEM) in topological optimization. Both exploit two characteristics of VCFEM. The first approach utilizes the property that a hole or inclusion can be placed in the element: the design variables for the topology optimization are sizes of the hole. In the second approach, we note that VCFEM may mesh the design domain as n sided polygons. We restrict our attention to hexagonal meshes of the domain while applying Solid Isotropic Material Penalization (SIMP) material model. Researchers have shown that hexagonal meshes are not subject to the checker boarding problem commonly associated with standard linear quad and triangle elements. We present several examples to illustrate the efficacy of the methods in compliance minimization as well as discuss the advantages and disadvantages of each method.


2021 ◽  
pp. 1-31
Author(s):  
Lorenzo Pinelli ◽  
Andrea Amedei ◽  
Enrico Meli ◽  
Federico Vanti ◽  
Benedetta Romani ◽  
...  

Abstract The need for high performances is pushing the complexity of mechanical design at very high levels, especially for turbomachinery components. Structural topology optimization methods together with additive manufacturing techniques for high resistant alloys are considered very promising tools, but their potentialities have not been deeply investigated yet for critical rotating components like new-generation turbine blades. This research work proposes a methodology for the design, the optimization and the additive manufacturing of extremely stressed turbomachinery components like turbine blade-rows. The presented procedure pays particular attention to important aspects of the problems as fluid-structure interactions and fatigue of materials, going beyond the standard structural optimization approaches found in the literature. The numerical procedure shows robustness and efficiency, making the proposed methodology a good tool for rapid design and prototyping, and for reducing the design costs and the time-to-market typical of these mechanical elements. The procedure has been applied to a low-pressure turbine rotor to improve the aeromechanical behavior while keeping the aerodynamic performance. From the original geometry, mode-shapes, forcing functions and aerodynamic damping have been numerically evaluated and are used as input data for the following topological optimization. Finally, the optimized geometry has been verified in order to confirm the improved aeromechanical design. After the structural topology optimization, the final geometries provided by the procedure have been then properly rendered to make them suitable for additive manufacturing. Some prototypes of the new optimized turbine blade have been manufactured to be tested in terms of fatigue.


2014 ◽  
Vol 889-890 ◽  
pp. 272-276
Author(s):  
Gang Tong ◽  
Tong Fei Liu ◽  
Yang Chen Deng

Introduces the characteristics of topology optimization and bionics, proposes the steps and method of using MSC.Patran to establish the model of the wing structure topology optimization, and through to illustrate the feasibility of the method and the application value of the wing structure topology optimization and bionics design. Key words: topological optimization; wing structure; bionics design ;finite element; MSC Patran;MSC Nastran


2013 ◽  
Vol 470 ◽  
pp. 271-274
Author(s):  
Li Dong Yuan ◽  
Xian Kun Lin

Taking a heavy dump truck as the research object, multi-body analysis and movement simulation are carried out on the lifting mechanism to determine the largest lifting time of the hydraulic cylinder. The stress value of key components and corresponding lifting Angle are acquired, and the calculated results and the actually known parameters and data are compared to verify the rationality of the design of lifting mechanism. Using ABAQUS for the strength check of the triangular arm and using OptiStruct for the topology optimization of the part, the mass and the volume of the new part are reduced more than 1 time. The development of part can improve product quality, shorten development cycle and reduce costs. Key words: Lifting Mechanism, Simulation, Strength Check, Topology Optimization


2011 ◽  
Vol 308-310 ◽  
pp. 606-609 ◽  
Author(s):  
Shu Yang ◽  
Chang Qi ◽  
Ping Hu ◽  
Zhi Yong Wei ◽  
Ying Li Wang

Based on Solid Isotropic Microstructure with Penalization (SIMP) method, a mathematical model for topology optimization of EV is proposed, which has design objective as minimizing compliance, with volumetric and geometric constraints. To make results more engineering value, the BIW optimization of EV takes into account not only the static loads, but also the torsion load in turning and moment load in braking process of EV. A number of implementation aspects in solving the numerical instability problem generated in optimization process are discussed, including checkboard patterns and mesh-dependency. Topology optimization of EV body in white with geometry and volumetric constraints is conducted, showing effectiveness of the proposed model.


2010 ◽  
Vol 37-38 ◽  
pp. 190-193
Author(s):  
Bing Chuan Bian ◽  
Guan Ming Peng ◽  
Yun Kang Sui

In this paper, according to the ICM (Independent Continuous Mapping) method, the topology optimization problem of continuum structures is solved. The topology optimization model for the continuum structure is constructed, which minimized weight as the objective function and was subjected to the buckling constraints. Based on the Taylor expansion, the filtering function and the Rayleigh quotient, the objective function and the buckling constraint are approximately expressed as the explicit function. The optimization model is translated into a dual programming and solved by the sequence second-order programming. Finally, the compressed bar examples are presented. They verified the length coefficient which is converted into stability bar hinged at both ends, identified the location of bottlenecks in topological structures. According to the results, more reasonable topological structures were given.


2012 ◽  
Vol 61 (6) ◽  
pp. 439-470 ◽  
Author(s):  
Gilles Marck ◽  
Maroun Nemer ◽  
Jean-Luc Harion ◽  
Serge Russeil ◽  
Daniel Bougeard

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