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Particularly, the autonomy problem and the hull forms optimization problem are treated.
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We derive the shape gradient function by using the material derivative method and apply it to the free-form optimization method for determining the optimal shape.
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The hull form optimization concerns one of the most important applications of wave making resistance theories.
The proposed free-form optimization method is a kind of non-parametric optimization method based on the H1 gradient method.
We propose a method combined infrared material selection and optical form optimization to reduce the internal stray radiation of lens.
The least square support vector regression (LS-SVR) metamodel technique is proposed for sheet metal forming optimization.
The paper presents the uncertainty hull form optimization design method for minimum EEOI, considering the influence of travelling speed perturbation.
Numerical examples are presented to demonstrate the validity and practical utility of the proposed free-form optimization method.
The numerical results show that the optimized shapes of the orthotropic shells are smooth, and their fundamental frequencies are significantly enhanced using the proposed free-form optimization method.
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