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[Case Study] Topology Optimization of a Monitor Arm Designed with Bilateral Symmetry in Mind

"HiramekiWorks" is a structural optimization design software that features both "topology optimization" and "shape optimization" functions.

Topology optimization is a method that expresses the optimal shape based on the density distribution of materials while keeping the mesh of the analysis model fixed. Here, we perform topology optimization with "mirror symmetry" set for the monitor arm, seeking an optimal shape that is both highly rigid and symmetrical under four different analysis conditions. *For more details, please refer to the related links or feel free to contact us.*

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[Case Study] Shape optimization of link components considering interference with surrounding parts.

"HiramekiWorks" is a structural optimization design software that features both "topology optimization" and "shape optimization" functions.

In shape optimization, you can set a "designable area" as a manufacturing constraint. By using this feature, you can limit shape changes to ensure that they do not extend beyond the specified designable area. Additionally, even if the initial shape already extends beyond the area, it can be modified to fit within the designated space. Here, we will perform shape optimization with the "designable area" set for link components, minimizing the volume while keeping the maximum displacement below the constraint value, all within the confines of the designable area. *For more details, please refer to the related links or feel free to contact us.*

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Architectural Design Software

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[Example] Model creation and structural analysis in bioengineering.

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

In the field of bioengineering, since there is no design data available, it is necessary to measure the actual object and create an analysis model. By using image-based analysis supported by VOXELCON, modeling can be performed from CT scan images of the actual object, allowing for faithful modeling that eliminates human error and significantly reduces the effort required for modeling. *For more details, please refer to the related links or feel free to contact us.*

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Analysis and prediction system

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[Case Study] Stress Analysis of a Crankshaft through Reverse Engineering

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

Model Creation and Structural Analysis from CT Images We will introduce an example of reverse engineering that measures the shape of a product (actual item) and uses it for direct analysis. Generally, creating a model for analysis from X-ray CT scan images requires a very labor-intensive process of generating a CAD model from the extracted surface. However, at VOXELCON, we can directly create a surface model from the image data of the X-ray CT scanner and apply boundary conditions directly on the surface model, allowing for voxel analysis without additional steps. This significantly reduces the man-hours required for reverse engineering. Here, we will present an example of creating a model from artificially generated tomographic images, simulating the tomographic images from an X-ray CT scanner, and performing static stress analysis. *For more details, please refer to the related links or feel free to contact us.*

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Analysis and prediction system

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[Example] Evaluation of macro physical properties using actual data

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

In material design, investigating the macroscopic mechanical properties of porous materials such as ceramics and foamed metals, as well as composite materials represented by FRP, is extremely important. When actual samples are available, it is generally possible to measure them through experiments; however, depending on the properties of the materials and the condition of the samples, experiments may not always be easy. Here, we will introduce an example of calculating the macroscopic physical properties of a sample by analyzing the tomographic images obtained from scanning the actual sample with a micro X-ray CT scanner, using VOXELCON's image-based modeling and homogenization analysis functions. Note: The physical properties of the original materials constituting the porous materials and composite materials are assumed to be obtained in advance. *For more details, please refer to the related links or feel free to contact us.

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[Example] Analysis of Warping in Electronic Circuit Boards

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

At VOXELCON, we perform thermal stress analysis using the temperature distribution from steady-state heat conduction analysis as a thermal load, allowing for easy weakly coupled analysis of steady-state heat conduction and thermal stress. Here, we will introduce an example of warpage analysis of an electronic substrate using a simple model. *For more details, please refer to the related links or feel free to contact us.*

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[Example] Calculation of Equivalent Stiffness of Sandwich Structural Panels

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

The sandwich structure, which consists of a core material sandwiched between surface panels to form a unified structure, is widely used in various fields as it offers a lightweight design with high bending stiffness. However, in cases where the core is composed of multiple materials rather than a single material, the equivalent properties of the sandwich structure cannot be derived from simple laminate theory. In this example, we will use VOXELCON's homogenization analysis function to calculate the equivalent property values of a core made of composite materials, and we will introduce an example of bending analysis of the sandwich structure using a simplified model based on the obtained material property values. *For more details, please refer to the related links or feel free to contact us.*

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[Example] Equivalent permeability coefficient and micro flow velocity distribution of porous media.

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

With the increasing use of composite materials and porous materials, the importance of evaluating the properties of their microstructures is growing. In this example, we will introduce the calculation of the equivalent permeability coefficient and micro velocity distribution of a porous body as an example of evaluating the flow characteristics of microstructures using the homogenization method of VOXELCON. *For more details, please refer to the related links or feel free to contact us.*

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[Example] Topology optimization of large-scale models

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

VOXELCON is equipped with topology optimization using the level set method. In this topology optimization, a target volume is set, and a shape is sought that maximizes stiffness (minimizes displacement at load points) under that volume constraint. Since structural optimization involves repeated structural analysis, the computation time can be very long. Additionally, the structural analysis specialized for voxels is characterized by good parallelization efficiency and low memory consumption, allowing for analysis of large-scale problems in a realistic time frame. The topology optimization feature also supports parallel execution on GPUs, so we will also introduce the computation time. *For more details, please refer to the related links or feel free to contact us.*

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[Example] Model correlation of plates containing honeycomb core material.

We want an analytical model that matches the measured values of the natural frequency!

"Model correlation" refers to the process of reviewing various possible errors and correctly reflecting them in the analytical model. If there are measured values and an error-free analytical model, it becomes possible to apply this to further simulations, thereby demonstrating the true value of the simulation. Therefore, by combining Quint products, we propose an experimental vibration characteristic and an error-free analytical model = an optimal model correlation. In this case study, we derived an analytical model that reproduces the vibration characteristics of a complex structure plate (hereinafter referred to as "honeycomb panel") that includes honeycomb core material, using Quint products "VOXELCON," "AMDESS," and "OPTISHAPE-TS." [Workflow] ■1. Experimental mode analysis of the honeycomb panel ■2. Calculation of material parameters for the simplified model ■3A. Identification of material parameters ■3B. Identification through model shape modification *For more details, please refer to the PDF document or feel free to contact us.

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Scientific Calculation and Simulation Software
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[Case Study] Shape Optimization to Improve Natural Frequency ★ Detailed Materials Available

Control the natural frequency while considering the MAC value. Utilize parallelization to handle large-scale models in a short time.

By changing the shape, we improve the natural frequency and resonance frequency. Additionally, we have added conditions to allow for die-cutting in accordance with manufacturing requirements. In recent years, the performance of PCs has increased, and the scale of models required for finite element analysis has also grown larger. In such cases, significant time savings can be achieved by utilizing parallelization. This time, we performed shape optimization on a large-scale model with over one million nodes using parallelization. 【Analysis Model】 ■ Elements: Tetrahedral second-order elements ■ Number of elements: 653,931 ■ Number of nodes: 1,026,428 <Related Keywords> - Rib shape - Matching considering MAC values - Controlling eigenvalues *For more details, please refer to the PDF document or feel free to contact us.

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[Case Study] Stress Reduction through Optimization of Fillet Shape ★ Detailed Materials Available

Focusing on the fillet section of the wrench component, we reduce the generated stress concentration! We guide it to an optimal shape that meets manufacturing requirements while maintaining a uniform R shape.

We would like to introduce a case study on the optimization of fillet shapes aimed at stress reduction. Taking manufacturing requirements into account, we sought a shape that minimizes stress while maintaining a uniform R shape. As a result, due to the axial symmetry setting, we were able to alleviate stress while preserving symmetry. Typically, when evaluating and optimizing localized stress, the shape does not remain symmetrical. However, with "OPTISHAPE-TS," it is possible to optimize while considering symmetry, allowing for changes in shape while maintaining the symmetry of the R shape, as demonstrated in this case. 【Case Overview】 ■ Analysis Model - Elements: Tetrahedral second-order elements - Number of elements: 220,782 - Number of nodes: 324,937 ■ Result: Due to the axial symmetry setting, stress was alleviated while maintaining symmetry. *For more details, please refer to the PDF document or feel free to contact us.

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[Case Study] Shape Optimization of Spot-Welded Flat Plate Stiffeners ★ Detailed Materials Available

Shape optimization of quadrilateral shell elements! It is also possible to optimize the thickness simultaneously!

As an example of shape optimization analysis for shell elements, we will focus on the reinforcing material of a square plate assumed to be the "center pillar" that constitutes the body of an automobile. "OPTISHAPE-TS" has a function that maintains the cross-sectional shape, allowing for the avoidance of complex cross-sectional shapes of the material during the shape optimization process. In the shape optimization process, RBE3 elements and their surrounding elements are automatically treated as spot welds, and constraints are set so that only rigid body motion is possible in those areas. In other words, while the position of the spot welds may move, the size and shape of the welds are constrained to remain unchanged. [Analysis Model] ■ Elements: Quadrilateral shell elements ■ Number of nodes: 47,425 ■ Number of elements: 46,440 *For more details, please refer to the PDF materials or feel free to contact us.

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[Example] Generation of CAD model from topology optimization results of a bracket.

Easily add creases! The cylindrical surface is generated as edited, accurately reproducing the original shape!

In this case, we obtained a CAD model to smooth the surface of the topology optimization results and perform verification analysis. We appropriately set the creases, recognized flat and cylindrical surfaces, and accurately preserved the original shape in non-design areas. For areas where creases were not automatically set, manual adjustments were made. The CAD model generation software "S-Generator" has various setting functions, allowing for easy addition of creases. Additionally, changes from free curves to arcs/lines, as well as cylindrical and planar transformations, can also be performed easily with just the press of a button. [Work Content] ■ Initial STL ■ Automatic crease setting on flat areas ■ Manual setting and editing of creases ■ Editing of analysis surfaces ■ Smoothing processing ■ Surface generation *For more details, please refer to the PDF document or feel free to contact us.

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Example: Warpage Countermeasures for Connectors in Injection Molding

By collaborating with 3D TIMON, we automatically adjust the thickness of the solid element model, thereby suppressing warping deformation.

Here is an example of minimizing warpage by changing the thickness of solid elements. The analysis was conducted using the "Basis Vector Method," which modifies the shape by moving the nodes of the finite element model without using CAD. Several patterns (basis vectors) of the desired shape were prepared from the initial model and combined. As a result of the optimization, the sum of squares of warpage improved by 33% to 4.9480e-004 compared to the initial shape, and the maximum warpage (mm) improved by 12% to 3.8607e-002. [Case Overview] ■ Optimization Conditions - Design Variables: Thickness A, B - Sampling: Initially LHS 20 points, Approximate optimal solution + 10 recommended points - Approximate Model: CRBF (Convolutional RBF) ■ Analysis: Basis Vector Method *For more details, please refer to the PDF document or feel free to contact us.

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soft Product List and Ranking from 35 Manufacturers, Suppliers and Companies

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