Application of Regional Strain Energy in Topology Optimization With Inertia Relief Analysis

2013 ◽  
Author(s):  
Wei Song ◽  
Hae Chang Gea ◽  
Ren-Jye Yang ◽  
Ching-Hung Chuang
Keyword(s):  
Finite Element ◽  
Topology Optimization ◽  
Strain Energy ◽  
Computational Cost ◽  
Structure Design ◽  
Protective Structure ◽  
Element Analysis ◽  
Regional Strain ◽  
Unbalanced Loads ◽  
Energy Formulation

In finite element analysis, inertia relief solves the response of an unconstrained structure subject to constant or slowly varying external loads with static analysis computational cost. It is very attractive to utilize it in topology optimization to design structures under unbalanced loads, such as in impact and drop phenomena. In this paper, regional strain energy formulation and inertia relief is integrated into topology optimization to design protective structure under unbalanced loads. For background, the equations of inertia relief are introduced and a commonly used solving method is revisited. Then the regional strain energy formulation for topology optimization with inertia relief is proposed and its sensitivity is derived from the adjoint method. Based on the solving method, the sensitivity is evaluated term by term to simplify the results. The simplified sensitivity can be calculated easily using the output of commercial finite element packages. Finally, the effectiveness of this formulation is shown in the first example and the proposed regional strain energy formulation for topology optimization with inertia relief are presented and discussed in the protective structure design examples.

Finite Element Analysis and Topology Optimization Design for Motional Board of Injection Molding Machine

2014 ◽  
Vol 607 ◽  
pp. 573-576
Author(s):  
En Guang Zhang ◽  
Li Wang ◽  
Wen Ju Shan
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Topology Optimization ◽  
Injection Molding ◽  
Optimization Design ◽  
Structure Design ◽  
Molding Machine ◽  
Element Analysis ◽  
Injection Molding Machine ◽  
Load Carrying

The structure and the load-carrying capability of the front board of injection molding machine are more complex. The error of the approximation algorithm employed in engineering is larger so that the board may become invalid in the process of using, The finite element analysis can obtain the stress distribution in the parts so as to improve the accuracy of calculation and the quality of design; through The topology optimization analysis will take the initiative to find the optimal plan, which provides the theoretical basis for the improvement of the load-carrying capability and the structure design of board. This paper have conducted a parametric design, finite element analysis and the topology optimization design for a motional board of the injection molding machine using “Advanced simulation” of NX8.0, and get a quantitative conclusion of that the motional board volume is reduced and its stiffness is significantly enhanced.

GPU-based Element-by-Element Strategies for Accelerating Topology Optimization of 3D Continuum Structures Using Unstructured All-Hexahedral Mesh

2021 ◽  
pp. 1-17
Author(s):  
Shashi Kant Ratnakar ◽  
Subhajit Sanfui ◽  
Deepak Sharma
Keyword(s):  
Finite Element ◽  
Topology Optimization ◽  
Sparse Matrix ◽  
Matrix Multiplication ◽  
Computational Cost ◽  
Structural Topology ◽  
Hexahedral Mesh ◽  
Element Analysis ◽  
The Matrix ◽  
Efficient Memory

Abstract Topology optimization has been successful in generating optimal topologies of various structures arising in real-world applications. Since these applications can have complex and large domains, topology optimization suffers from a high computational cost because of the use of unstructured meshes for discretization of these domains and their finite element analysis (FEA). This paper addresses this challenge by developing three GPU-based element-by-element strategies targeting unstructured all-hexahedral mesh for the matrix-free precondition conjugate gradient (PCG) finite element solver. These strategies mainly perform sparse matrix multiplication (SpMV) arising with the FEA solver by allocating more compute threads of GPU per element. Moreover, the strategies are developed to use shared memory of GPU for efficient memory transactions. The proposed strategies are tested with solid isotropic material with penalization (SIMP) method on four examples of 3D structural topology optimization. Results demonstrate that the proposed strategies achieve speedup up to 8.2× over the standard GPU-based SpMV strategies from the literature.

Topology Optimization of QY70G Truck Crane Turntable Structure

2014 ◽  
Vol 532 ◽  
pp. 466-469 ◽  
Author(s):  
Ye Fei ◽  
Xing Kun Wang ◽  
Wen Min Liu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Topology Optimization ◽  
Design Method ◽  
Structure Design ◽  
Structural Topology ◽  
Main Bearing ◽  
Element Analysis ◽  
Finite Element Software ◽  
Before And After

Turntable is the main bearing component of truck crane, its structural-load-carrying capacity influences the operational capability directly. This paper adopts the HyperWorks software to make topology optimization for the turntable structure of QY70G truck crane, and carry out the finite element analysis and comparison for the models before and after optimization, which provides an effective method to improve the turntable structure of truck crane. Turntable is one of the important components of truck crane，it bears hoist boom、lifting、luffing mechanism and bob-weight and so on, it is the transfer center of truck crane when it works, the structure will directly affect the lifting performance of the machine. But, the rotary table structure design is affected by the vehicle shape size and installation and space layout. The traditional design method is based the experience of analogy to check by finite element software, it is difficult to get the design scheme which meets the requirements given above and own better strength and stiffness, it also have the disadvantages of long design cycle and large workload. This article is based on the finite element method and structural topology optimal idea, by means of HyperWorks-OptiStruct, makes finite element analysis for the turntable structure of certain QY70G truck crane, and carries on the structural topology in the condition of setted installation location and space, in order to obtain the ideal design plan.

Finite Element Analysis and the Topology Optimization of a Bracket-Cable

2010 ◽  
Vol 44-47 ◽  
pp. 1325-1329 ◽  
Author(s):  
Xun Ma ◽  
Ji Wei Zhang
Keyword(s):  
Finite Element ◽  
Topology Optimization ◽  
Strain Energy ◽  
Optimization Design ◽  
Commercial Vehicle ◽  
The Finite Element Method ◽  
Element Analysis ◽  
Strength And Stiffness ◽  
Designing Method ◽  
Heavy Commercial Vehicle

The bracket-cable is one of the important structures of transmission control system of Heavy Commercial Vehicle. By using the compliance (strain energy) as an object function and the volume as constrain, the topology optimization design for the bracket-cable is performed with Hyperworks10.0, which is made considering the characteristics of structure, constraints and forces etc. To meet the structural strength and stiffness requirements, 34.7% of the mass are decreased after the process. The generalization designing method of the structure of the bracket is also provided. The Structure analysis and the topology optimization based on the finite element method may help us get the best variation of the design during the developing phase. It has also significance to shorten the design process and to improve the product quality.

Design for Energy Absorption: A Topology Optimization Approach

2001 ◽  
Author(s):  
Hae Chang Gea ◽  
Jianhui Luo
Keyword(s):  
Topology Optimization ◽  
Energy Absorption ◽  
Strain Energy ◽  
Adjoint Method ◽  
Structural Integrity ◽  
Optimization Approach ◽  
Regional Strain ◽  
Vehicle Structure ◽  
Mean Compliance ◽  
Energy Formulation

Abstract Topology optimization for energy absorption is studied in this paper. Unlike conventional mean compliance formulation, this paper considers two main functions of vehicle structure: stiffness and energy absorption. During its normal usages, stiffness is chosen as the design objective. During impact, portion of vehicle structures absorbs impact energy while other part maintains the structural integrity. Therefore, we implemented a regional strain energy formulation to topology optimization. Sensitivity for regional strain energy is derived from the adjoint method. Numerical results from the proposed formulation are presented.

Bridge structure design and finite element analysis

2021 ◽  
Author(s):  
Xiaolin Zhang ◽  
Tianyi Guan ◽  
Lei Fan ◽  
Na Wang ◽  
Li Shang ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Structure Design ◽  
Bridge Structure ◽  
Element Analysis

Optimization design of titanium alloy connecting rod based on structural topology optimization

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Bin Zheng ◽  
Yi Cai ◽  
Kelun Tang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Topology Optimization ◽  
Optimization Design ◽  
Equivalent Stress ◽  
Connecting Rod ◽  
Element Analysis ◽  
Content Type ◽  
The Finite Element Analysis ◽  
Maximum Equivalent Stress

Purpose The purpose of this paper is to realize the lightweight of connecting rod and meet the requirements of low energy consumption and vibration. Based on the structural design of the original connecting rod, the finite element analysis was conducted to reduce the weight and increase the natural frequencies, so as to reduce materials consumption and improve the energy efficiency of internal combustion engine. Design/methodology/approach The finite element analysis, structural optimization design and topology optimization of the connecting rod are applied. Efficient hybrid method is deployed: static and modal analysis; and structure re-design of the connecting rod based on topology optimization. Findings After the optimization of the connecting rod, the weight is reduced from 1.7907 to 1.4875 kg, with a reduction of 16.93%. The maximum equivalent stress of the optimized connecting rod is 183.97 MPa and that of the original structure is 217.18 MPa, with the reduction of 15.62%. The first, second and third natural frequencies of the optimized connecting rod are increased by 8.89%, 8.85% and 11.09%, respectively. Through the finite element analysis and based on the lightweight, the maximum equivalent stress is reduced and the low-order natural frequency is increased. Originality/value This paper presents an optimization method on the connecting rod structure. Based on the statics and modal analysis of the connecting rod and combined with the topology optimization, the size of the connecting rod is improved, and the static and dynamic characteristics of the optimized connecting rod are improved.

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