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The theory of OPTISHAPE-TS: Manufacturing constraints in H1 gradient method.

The theory of OPTISHAPE-TS: Manufacturing constraints in H1 gradient method.

A method with a very high degree of freedom compared to parametric optimization! Introduction to a technical column.

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.

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[Example] Shape optimization to match the natural frequency with experimental measurement results.

[Example] Shape optimization to match the natural frequency with experimental measurement results.

Efficiently considering multiple constraints, control the eigenvalues of automotive brake components!

We present an example of analysis applying the non-parametric shape optimization function of "OPTISHAPE-TS," which employs an algorithm based on the smoothing gradient method (force method) to match multiple natural frequencies in automotive brake components. The optimization conditions were set to target natural vibration modes from the 7th to the 21st, aiming to match their natural frequencies to specified target values (considering MAC values) while keeping the volume unchanged. As a result, a final shape was obtained where each eigenvalue and volume matched their respective constraint values with an accuracy within 0.01%. In this case, the control of eigenvalues was performed using specified initial shape ratios, but analyses can also be conducted using absolute values or by combining other controls such as nodal positions of natural vibration modes and frequency response. This can also be utilized for eigenvalue control and resonance avoidance. For more details, please refer to the PDF materials or feel free to contact us.

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[Case Study] Shape optimization of an arm considering layout constraints due to component interference.

[Case Study] Shape optimization of an arm considering layout constraints due to component interference.

Shape optimization is suitable for improvements from existing shapes! A case that achieved approximately 40% weight reduction.

We will introduce a case of arm optimization considering interference conditions. To obtain a shape that does not interfere with the area, we create a mesh of the designable region. By designating this model as the "deviation specification area," we optimize it to achieve a shape that does not protrude from this area (does not deviate). As a result, we obtained a lightweight shape that meets various constraints without deviating from the specified area. Shape optimization is suitable for improvements from existing shapes, and by adding multiple constraints such as stress constraints and manufacturing requirements, it is possible to conduct more detailed examinations. *For more details, please refer to the PDF document or feel free to contact us.*

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[Technical Column] Theory of OPTISHAPE-TS MAC

[Technical Column] Theory of OPTISHAPE-TS MAC

Introduction to a technical column that is also used for evaluating the natural frequency in OPTISHAPE-TS!

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.

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