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This case study collection presents problem-solving examples using the SOLIDWORKS add-in structural optimization design software, HiramekiWorks. It provides detailed explanations from the analysis model to optimization conditions, results, and discussions. 【Contents】 ■ Shape optimization of table legs considering wall thickness A case study on lightweight skeletal design, focusing on weight reduction while considering generated stress and member thickness. ■ From initial layout design to detailed design of the lower arm A case study on lightweight reinforcement layout. HiramekiWorks covers everything from layout consideration to detailed design, achieving weight reduction through combined techniques. ■ Topology optimization of a monitor arm designed for bilateral symmetry Deriving the optimal skeleton while considering numerous load patterns. 【Features of HiramekiWorks】 ■ Easy optimization in a familiar environment ■ Responds to practical needs such as weight reduction and stress reduction under various conditions ■ Automatic generation of solid models for optimization results ■ Easy generation of STL data for 3D printing using the geometry editor *For more details, please refer to the PDF materials or feel free to contact us. *Materials can also be downloaded from the related links below (within our company site).

• Scientific Calculation and Simulation Software

If you are working on structural optimization related to lightweight design, strength improvement, vibration issues, or if you are struggling with that approach, or if you are exploring 3D printing, scanning image processing, modeling, and analysis, our experienced technical staff will work with you to solve these challenges. We can handle everything from data creation to analysis, evaluation, and report preparation (even just part of it). Even if your challenges are vague and specific details have not been determined, we will discuss them in detail and propose methods that align with your needs. Please feel free to contact us. ◎ Main Achievements Various lightweight designs, strength improvements, reverse engineering, resonance avoidance, numerical adjustments, noise and vibration reduction, trade-off analysis in structural optimization, CAD model generation for optimized shapes, reinforcement design, reduction of mesh creation man-hours, simulation model creation, editing STL data for 3D printing... and many more. ★ We are currently offering a collection of various case studies for problem-solving: [PDF Download] 　↓ Download from our website here ↓ 　https://www.quint.co.jp/cgi-bin/solution-CS.cgi

• Other CAD

In this case study collection, we introduce problem-solving examples using the structural optimization design software 'OPTISHAPE-TS'. We present examples of optimizing spot-welded flat plate stiffeners, optimizing the optimal arrangement of spot welds themselves, and optimizing shapes to equalize reaction forces. We provide a detailed explanation of the analysis model, optimization conditions, results, and discussions using diagrams. Please feel free to download and take a look. [Featured Examples] ■ Shape optimization of spot-welded flat plate stiffeners ■ Topology optimization to reduce spot welding ■ Shape optimization to equalize reaction forces *For more details, please refer to the PDF materials or feel free to contact us! *Those who are not Ipros members can also download the materials from the related links below (within our company site).

• Other Software

HiramekiWorks is an add-in structural optimization design software for 3D CAD SOLIDWORKS, boasting a proven track record in the manufacturing industry. Using the analysis conditions set in SOLIDWORKS, you can complete everything from running the analysis to importing the result model with just one click. Additionally, the optimized result shapes can be easily edited into STL data for 3D printing using the included "Geometry Editor," making it simple and smooth to create prototype models. Would you like to try designing something that has never been done before with our software, which incorporates unique know-how? 【Features】 ■ Easy optimization in a familiar environment ■ Addresses practical needs such as weight reduction and stress reduction under various conditions ■ Automatically generates solid models of the optimized result shapes ■ Easily generates STL data for 3D printing using the Geometry Editor *For more details, please refer to the related links or feel free to contact us. We are currently offering the "HiramekiWorks Product Catalog" and "STL Editing Case Studies" (S-Generator Case Studies) for PDF download!

• Scientific Calculation and Simulation Software

At Kuint, we hold the "Kuint Exchange Meeting," which features keynote speeches from active professionals and presentations of case studies from Kuint product users, including structural optimization. (Held once a year) The event is filled with valuable content that provides insights into problem-solving that you won't find elsewhere, and it has received positive feedback every year. *In 2024, it will be held in a hybrid format on September 20.* ≪Main Presentations for 2024≫ ◆Keynote Speech◆ "Automotive Body Design Using Topology Optimization" Kohei Yuge, Emeritus Professor, Seikei University ◆User Case Presentations◆ "New Product Development of Tools Utilizing Topology Optimization Design" Kyoto Machine Tool Co., Ltd. "Efforts to Apply Structural Optimization in the Design of Electric Guitars and Speakers" Yamaha Corporation For more details, please refer to the 【PDF】 or 【Related Links】! If you are interested, please feel free to contact us. You can also download our product ★Case Study Collection★ from this page.

• Scientific Calculation and Simulation Software

★For those struggling with editing STL data used in 3D printing and modeling★ 'S-Generator' allows you to correct surface irregularities, unwanted holes, and distorted curves in STL data, as well as reduce the number of triangles, fix duplicates and open edges, and even adjust dimensions and volume. You can edit STL data to create beautiful and desired shape data that can be immediately utilized with a 3D printer. We also offer a trial version that allows you to use all features and contract services. Please feel free to contact us! ★Case studies for problem-solving are currently being offered★ Please check the PDF download for more details on other products.

• Other Software

This document is a collection of case studies on problem-solving using the CAD model generation software 'S-Generator', Volume 1. It includes examples such as "CAD model generation from engine block STL data," "CAD model generation from the topology optimization results of a chair," and "CAD model generation from the topology optimization results of a bracket." We provide detailed explanations of the overview, work content, and utilization of the generated surfaces, so please feel free to download and take a look. [Contents] ■ Case Study 1: CAD model generation from engine block STL data ■ Case Study 2: CAD model generation from the topology optimization results of a chair ■ Case Study 3: CAD model generation from the topology optimization results of a bracket *For more details, please refer to the PDF document or feel free to contact us!

• Other CAD

As mentioned in previous articles, non-parametric structural optimization reduces to the problem of finding the optimal function. In fact, when it comes to gradient methods, they are applied not only in design problems such as shape optimization and topology optimization but also in several fields of function optimization. This time, I will briefly introduce one such example: identifying muscle activity during human swallowing movements. Please feel free to download and take a look. [Contents] ■ Episode 31: On Function Optimization and Its Applications *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

This time, I will explain the plugin feature of OPTISHAPE-TS. The plugin feature is designed for users to utilize their own evaluation functions in the shape optimization of OPTISHAPE-TS. I hope to convey that it can be quite challenging when you actually try to implement it. Please feel free to download and take a look. [Contents] ■ Episode 30: About the Plugin Feature *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

This time, I will discuss the idea related to the optimization problem of a function that takes values within a certain specified range, specifically focusing on the sigmoid function. When solving non-parametric optimization problems using the H1 gradient method, we consider that an initial value of the function, which serves as the design variable, is given, and we update the design variable by adding an incrementing term to it. Therefore, this function must be an element of a linear space. I will carefully explain the concept of linear space as a review. Please feel free to download and take a look. [Contents] ■ Episode 29: Sigmoid Function *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

Previously, we introduced shape optimization for model correlation of vibration characteristics on our website. In the article, we mentioned something called MAC (Modal Assurance Criterion), and in this article, we will explain it. Please feel free to download and take a look. [Contents] ■ Episode 28: About MAC *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

Last time, we discussed how to determine the sensitivity of compliance in a one-dimensional cantilever beam by defining the Lagrange function with design variables represented as a function of cross-sectional area. This time, let's look at an approach based on the calculus of variations to derive the stationary conditions and the derivatives with respect to the cross-sectional area. Please feel free to download and take a look. [Contents] ■ Episode 27 Sensitivity of Compliance Part 5 "Derivation of Sensitivity with Respect to the Function Representing Cross-Sectional Area" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous articles, we explained the compliance and its sensitivity when introducing two-dimensional design variables for a one-dimensional cantilever beam. This time, we will finally replace the design variables from a finite-dimensional vector to an infinite-dimensional function and construct the problem. Please feel free to download and take a look. [Contents] ■ Episode 26 Sensitivity of Compliance Part 4 "Problems with Design Variables Represented by Functions" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous article, we introduced the Lagrange multiplier method as a condition that the solutions of optimization problems with equality constraints should satisfy. This time, we will apply that concept to derive the sensitivity of compliance. Please feel free to download and take a look. [Contents] ■ Episode 25 Sensitivity of Compliance Part 3 "Lagrange Multiplier Method" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

The discussion about deriving the sensitivity of compliance began from the previous article. This time, I would like to take a break from the derivation of sensitivity and explain the Lagrange multiplier method itself. Please feel free to download and take a look. [Contents] ■ Episode 24: Lagrange Multiplier Method *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

We would like to introduce a technical column on our structural optimization design software "OPTISHAPE-TS." The discussion began in the previous article about deriving the sensitivity of compliance. This article is the second installment, where we will consider the derivative of compliance with respect to design variables. Please feel free to download and take a look. [Contents] ■ Episode 23: Sensitivity of Compliance Part 2 "Substitution Method and Direct Differentiation Method" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous article, we discussed compliance in linear elastic problems. By the way, some of you may have heard that "the sensitivity of compliance is the strain energy," but how is this derived? Therefore, starting from this time, I would like to take a few sessions to look at the derivation of the sensitivity of compliance. Please feel free to download and take a look. [Contents] ■ Episode 22: Sensitivity of Compliance Part 1 "Problems with Two-Dimensional Design Variables" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

Non-parametric optimization of OPTISHAPE-TS (shape optimization, topology optimization, bead optimization) can commonly evaluate compliance in linear elastic analysis. For those who use it regularly, it may seem like a trivial matter to say, "Ah, compliance," but occasionally, I receive questions from others asking, "What is compliance?" In this article, I would like to explain compliance in a bit more detail. Please feel free to download and take a look. [Contents] ■ Episode 21: What is compliance? *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

This time, we will introduce the theory of manufacturing constraints in non-parametric shape optimization using OPTISHAPE-TS. Non-parametric optimization, including shape optimization, offers a much higher degree of freedom compared to parametric optimization, which results in unique shapes. Please download and check out the continuation of the column. [Contents] <Chapter 20: Manufacturing Constraints in H1 Gradient Method> ■ Limitations due to penalty terms in the H1 gradient method ■ Limitations based on the evaluation function *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

This time, we will introduce bead optimization, which is one of the non-parametric optimizations of OPTISHAPE-TS. A bead refers to a small uneven shape applied to a thin plate structure. Since it can change the characteristics of the structure without increasing the thickness of the thin plate, the process of generating beads is a widely used method in various applications. [Contents] ■ Episode 19: Bead Optimization *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In OPTISHAPE-TS, it is possible to evaluate the maximum values of functions distributed over the model, such as "maximum Mises stress" and "maximum displacement." However, if we literally use the maximum value as the evaluation function, we will not be able to evaluate the derivatives, making it impossible to determine sensitivity. This time, I will introduce a method for evaluating maximum values using a function called the KS function, which is adopted in OPTISHAPE-TS. Please feel free to download and take a look. [Contents] ■ Episode 18 Evaluating the Maximum Value of Functions: KS Function *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous articles, we explained the theoretical background of the H1 gradient method. Since the discussion became mathematically complex, in this article, we will introduce a more approachable topic: an overview of the structural optimization algorithm used in OPTISHAPE-TS. Please feel free to download and take a look. 【Contents】 <Chapter 17: Optimization Algorithm Using the H1 Gradient Method> ■ Solve the state equations and calculate the value of the evaluation function ■ Solve the adjoint equations and calculate the sensitivity of the evaluation function ■ Calculate the variation of design variables using the H1 gradient method ■ Calculate the weighting coefficients for the variations ■ Update the design variables ■ Satisfy the unsatisfied constraint functions *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

Last time, I explained the completeness of spaces. Since H1 is a function space, this time I will explain norms and inner products in function spaces to deepen your understanding of H1. Please feel free to download and take a look. [Contents] ■ Episode 12 What is the H1 Gradient Method? Part 5 "Infinite Dimensions and Function Spaces" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous session, we explained norms and inner products in function spaces. Finally, to help you gain a deeper understanding of the concept of function spaces, we will discuss the subtle relationships with three functions that frequently appear in the field of engineering (for example, control engineering and vibration engineering). Please feel free to download and take a look. 【Contents】 ■ Episode 13: What is the H1 Gradient Method? Part 6 "The Relationship Between Three Functions and H1" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous articles, we explained the "H1" in the H1 gradient method. I hope you have deepened your understanding of the concept of function spaces. From this time onward, I would like to explain the remaining "gradient methods" over several articles. To begin with, this article will discuss an overview of gradient methods. Please feel free to download and take a look. [Contents] ■ Episode 14 What is H1 Gradient Method Part 7 "What is Gradient Method" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous two articles, I explained what the H1 gradient method is in shape optimization and topology optimization, along with its historical background. In this article, I will explain what "H1" in the H1 gradient method refers to. Please feel free to download and take a look. [Contents] ■ Episode 8: What is the H1 Gradient Method? Part 1 "What is H1 in the first place?" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous article, I provided an overview of the function space known as H1. As I mentioned briefly, there is a significant difference between the "space" that engineers think of and the "space" in modern mathematics. This time, I will explain the concept of "space" in modern mathematics. Please feel free to download and take a look. [Contents] ■ Episode 9: What is the H1 Gradient Method? Part 2 "Space" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous article, we explained normed spaces and inner product spaces. A normed space is a space equipped with a norm that generalizes the concept of size, while an inner product space is a space equipped with an inner product. In this article, we will explain the important property of completeness among these spaces. Please feel free to download and take a look. [Contents] ■ Episode 11: What is the H1 Gradient Method? Part 4 "Completeness" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous article, we explained the gradient method, which is one of the solutions to optimization problems. In this article, we will discuss the gradient method in finite-dimensional spaces, specifically when the design variables are a finite number of real numbers. Please feel free to download and take a look. [Contents] ■ Episode 15: What is H1 Gradient Method Part 8 "Gradient Method in Finite-Dimensional Spaces" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous four articles, we discussed the challenges of non-parametric optimization and the positioning of the H1 gradient method as a solution. From here, we will explain specifically what the H1 gradient method entails. Please feel free to download and take a look. [Contents] ■ Episode 6: The Emergence of the H1 Gradient Method and Its Background Part 1 "Shape Optimization" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous article, I explained the calculation procedure of the force method, which is an H1 gradient method in shape optimization, including the previously proposed growth strain method. In this article, I will explain the H gradient method in topology optimization. Please feel free to download and take a look. 【Contents】 ■ Episode 7: The Emergence of the H1 Gradient Method and Its Background Part 2 "Topology Optimization" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous article, I briefly explained non-parametric optimization. In that context, I mentioned that non-parametric optimization is a method for optimizing functions. In this article, I will explain what "optimizing a function" means, to deepen your understanding of the challenges it presents. Please feel free to download and take a look. [Contents] ■ Episode 2: The Challenges of Non-Parametric Optimization Part 1 "Function Optimization" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous discussions, I explained that non-parametric optimization, mathematically, is optimization focused on functions, and in practice, it becomes a problem of finding a number of design variables comparable to the scale of the finite element model (number of nodes, number of elements). In this article, I will explain the optimization algorithms for solving such problems. Please feel free to download and take a look. [Contents] ■ Episode 3: The Difficulty of Non-Parametric Optimization Part 2 "Time Complexity" *For more details, please refer to the PDF materials or feel free to contact us.

• Other Software

Since the release of the initial version, we have frequently received questions from customers about the theories underlying our optimization. From the user's perspective, it is understandable to feel hesitant about using software without a clear understanding of the theoretical background. In this technical column, we will explain the theories used in the optimization features of OPTISHAPE-TS as clearly as possible. Please feel free to download and take a look. [Contents] ■ Episode 1: Introduction to Non-Parametric Optimization *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous article, we explained the concept of "space" in modern mathematics. The concept of a set exists as "a collection of specific things," and among those, we specifically call those that can determine some kind of relationship between the elements belonging to it "space." Additionally, we introduced "linear spaces" and "metric spaces" as concrete examples of spaces. In this article, we will further discuss spaces where norms and inner products are defined. Please feel free to download and take a look. [Contents] ■ Episode 10: What is the H1 Gradient Method? Part 3 "Norm Spaces and Inner Product Spaces" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous sections, we explained that in non-parametric optimization, the number of design variables to be determined is large, meaning that the dimensionality of the search space is high, which is why optimization algorithms using sensitivity are employed. In this article, we will further explain the difficulties of non-parametric optimization from another perspective. Please feel free to download and take a look. [Contents] ■ Episode 4: The Difficulty of Non-Parametric Optimization Part 3 "Checkerboard Phenomenon" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In the previous discussion, I explained that the checkerboard phenomenon is a challenging issue in topology optimization. I also discussed a technique called filtering as a workaround, but highlighted the difficulty in finding the right balance for its application. Additionally, a completely different approach has been proposed to avoid the checkerboard pattern without modifying the optimization problem. This idea involves using design variables at the nodes rather than at the elements, and interpolating within elements using a C^0 continuous function. Please feel free to download and take a look. [Contents] ■ Episode 5: The Difficulty of Nonparametric Optimization Part 4 "Wavy Phenomenon" *For more details, please refer to the PDF document or feel free to contact us.

• Other Software

In this case study collection, we introduce problem-solving examples using the structural optimization design software 'OPTISHAPE-TS'. We include examples of shape optimization that aligns natural frequencies with experimental measurement results, as well as topology optimization examples that consider manufacturing requirements. We provide a detailed explanation of the analysis models, optimization conditions, results, and discussions, using figures and tables. Please feel free to download and take a look. [Contents] ■ Shape optimization that aligns natural frequencies with experimental measurement results ■ Lightweight design of rotating parts considering rigidity and manufacturing requirements ■ Topology optimization considering manufacturing requirements ■ Shape optimization considering rigidity in the arrangement patterns of multiple parts *For more details, please refer to the PDF materials or feel free to contact us. *Those who are not members of Ipros can also download the materials from the related links below (within our company site).

• Other Software

In this case study collection, we introduce problem-solving examples using the structural optimization design software 'OPTISHAPE-TS.' We include examples of shape optimization for arms considering layout constraints due to part interference, as well as shape optimization case studies using stress constraints from multiple parts. From the analysis model to optimization conditions, results, and discussions, we provide detailed explanations using diagrams. Please feel free to download and take a look. [Featured Examples] ■ Shape optimization considering interference with other parts ■ Shape optimization considering stress ■ Shape optimization to improve natural frequency ■ Stress reduction through optimization of fillet shapes *For more details, please refer to the PDF materials or feel free to contact us! *For those who are not members of Ipros, materials can also be downloaded from the related links below (within our company site).

• Other Software

Robustness represents the strength (small variation) against changes in the environment or situation and is an important evaluation criterion that affects yield in actual production. "AMDESS" can provide virtual variations to the approximation model, allowing for the evaluation of this robustness. Here, we will introduce a case of gate position optimization where "AMDESS" and "3D TIMON" are linked, and robustness is evaluated after the usual optimization. [Contents] ■ Overview ■ Analysis Model ■ Optimization Conditions ■ Optimization Results ■ Variation Evaluation ■ Discussion *Detailed information about the case can be viewed through the related links. For more information, please feel free to contact us.

• Analysis and prediction system

To change dimensions through dimensional optimization, there are two methods: one is to directly modify the CAD model and remesh it, and the other is to change the mesh itself (morphing). Many CAD systems support scripting languages for manipulating CAD models, allowing external programs to operate on CAD models using these scripts. Here, we will introduce an example of dimensional optimization using a VBA macro that links SolidWorks (SolidWorks Japan Co., Ltd.) with 'AMDESS'. [Contents] ■ Overview ■ Analysis Model ■ Optimization Conditions ■ Results ■ Discussion *Detailed information about the case study can be viewed through the related links. For more information, please feel free to contact us.

• Analysis and prediction system

Optimizing molding conditions parametrically in resin flow analysis can be relatively easily achieved, but automatically changing the shape of the cavity and the arrangement of the runner while optimizing is challenging. To facilitate these optimizations, we developed "AMDESS for 3D TIMON" in collaboration with Toray Engineering Co., Ltd. Here, we will introduce a case study of optimizing the gate position to minimize clamping force while automatically re-modeling the runner when changing the gate position. [Contents] ■ Overview ■ Analysis Model ■ Optimization Conditions ■ Results ■ Discussion *Detailed information about the case study can be viewed through the related links. For more information, please feel free to contact us.

• Analysis and prediction system

The displacement solution of static stress analysis, or the temperature solution of steady-state heat conduction analysis, generally does not produce significant errors as long as the shape is accurately represented. However, there are cases where errors can become substantial. When the original shape does not match the voxel pitch, discrepancies in the shape occur. Therefore, to achieve better accuracy in the analysis, it is necessary to refine the mesh, which increases the model size. Here, we will introduce a case study applying FCM as a solution to this issue. 【Contents】 ■ Overview - Issues with voxel analysis ■ Analysis Model - Boundary conditions ■ Analysis Results - Static stress analysis / Steady-state heat conduction analysis *Detailed information about the case study can be viewed through the related links. For more information, please feel free to contact us.

• Analysis and prediction system

Finite element analysis using voxels has the advantage of being easy to operate, fast, and not incurring human costs; however, it also has the disadvantage of causing stress wave phenomena. To eliminate this disadvantage, we apply the Finite Covering Method (FCM) to improve analysis accuracy. Here, we will verify how the analysis accuracy is improved by using the Finite Covering Method (FCM) while changing the mesh size and comparing it with the Finite Element Method (FEM). [Contents] ■ Overview ■ Analysis Model ■ Analysis Results *Detailed information about the case study can be viewed through the related links. For more details, please feel free to contact us.

• Analysis and prediction system

Using the flexible modeling and scripting features of "VOXELCON," you can randomly vary the arrangement and scaling of the given basic shapes to generate models. Here, we will introduce an example of randomly generating a micro model of composite materials and evaluating its physical properties through homogenization analysis. If you have any questions or concerns, please feel free to contact us. 【Contents】 ■ Overview ■ Analysis Model (Micro Model) ■ Homogenization Analysis Results ■ Discussion *For detailed information on the case study, please refer to the related links. For more information, feel free to contact us.

• Analysis and prediction system