基于分数阶黏弹性缓冲系统的代理模型可视化研究

Visualization of proxy model based on fractional viscoelastic buffering system

分数阶黏弹性缓冲系统模型可以准确描述黏弹性材料的力学性质,被广泛应用于工程车辆的减振控制中。但由于模型本身的复杂度使得在求解及优化过程中消耗大量的时间和计算成本,而代理模型很好地解决这一问题。通过引入图形用户界面(GUI)技术,开发出一种用户友好的复杂分数阶代理模型可视化实验系统,该系统主要包含实验设计模块、代理模型模块和误差分析模块3大模块。使用时根据需求选择不同的分数阶及代理模型,输入变量取值范围信息,即可得到代理模型拟合效果图以及误差,然后对比分析不同代理模型的误差结果,选择拟合效果最好的代理模型。以Maxwell分数阶模型为例,在同等变量选择范围下分析4种代理模型获得的代理效果。结果表明:当施加外力在0~100 N,系统固有频率在0~100 Hz的条件下,决定系数为0.989 7,均方根误差为0.146的混合自适应代理模型为拟合效果最好的代理模型。此系统的开发为代理模型在分数阶黏弹性缓冲系统的计算及优化研究中提供一定的应用价值,解决了复杂分数阶求解计算成本大的问题。

Fractional order viscoelastic buffering system model can accurately describe the mechanical properties of viscoelastic materials and is widely used in vibration reduction control of engineering vehicles.However,due to the complexity of the model itself,it consumes a lot of time and computational cost in the process of solving and optimization,and the proxy model can solve this problem well.By introducing graphical user interface(GUI) technology,a user-friendly visual experiment system of fractional-order agent model is developed,which mainly includes three modules:experiment design module,establishment of agent model module and error analysis module.Select different fractional order and agent models according to the needs,input variable value range information,you can get the agent model fitting effect diagram and error,and then compare and analyze the error results of different agent models to select the agent model with the best fitting effect.Taking Maxwell fractional-order model as an example,the agent effects obtained by four agent models are analyzed under the same variable selection range.The results show that when the external force is 0-100 N,the natural frequency of the system is 0-100 Hz,the coefficient of determination is 0.989 7,and the root mean square error is 0.146,the hybrid adaptive proxy model has the best fitting effect.The development of this system provides a certain application value for the proxy model in the calculation and optimization of fractional viscoelastic buffer system and solves the problem of high computational cost of complex fractional order solution.