Abstract
The Analytic Target Cascading (ATC) is an effective method for solving hierarchical Multidisciplinary Design Optimization (MDO) problems. At the same time, this method suffers from poor convergence and low accuracy, which is caused by the inconsistency of system constraints. In this paper, a novel ATC method based on dynamic relaxation factor is proposed. The dynamic relaxation factor of consistency constraint is added in the system level and is adjusted by the deviation of the linking variables between the levels to ensure the feasible region of the design space. The effectiveness and accuracy of this method are verified by a mathematical example. This method is used to solve the lightweight problem of the trussed front part of the vehicle body frame based on active and passive safety to achieve the collaborative optimization of lightweight trussed frame, crash safety, and aerodynamic characteristics. The important value of the novel ATC method based on dynamic relaxation factor in engineering applications is proven.
Highlights
Mathematics 2021, 9, 907. https://Formula Student Electric China (FSEC) is a competition which consists of static and dynamic events
After solving by Multidisciplinary Design Optimization (MDO), compare the solved data with the initial results, as shown in. It can be concluded from the table that before and after optimization, the body weight is reduced by 6.50%, while the peak acceleration is reduced by 12.09%, the intrusion is reduced by 29.18%, and the air lift coefficient is reduced by 12.50%
The novel Analytic Target Cascading (ATC) method based on dynamic relaxation factor is proposed by adding a dynamic relaxation factor that is adjusted by the deviation of the linking variables between the levels to ensure the feasible region of the design space
Summary
Formula Student Electric China (FSEC) is a competition which consists of static and dynamic events. The system needs to consider the influence of many disciplines such as the structure, aerodynamic characteristics, and braking performance of the entire vehicle It is a typical MDO problem, which was formally proposed by the multidisciplinary design optimization technical committee [20]. The dynamic relaxation factor constraint ATC method is used to construct the active and passive safety MDO design platform for the front impact structure of the racing car body, and the polynomial response surface model is used to obtain the analysis models of each level [41] to reduce the calculation time, realize the lightweight of the body frame, and improve the active and passive safety of the whole racing car. It is confirmed that the dynamic relaxation factor ATC method is suitable for practical engineering problems
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