基于L-M算法的复数神经网络方法拟合粘弹性材料复模量
omplex Neural Network Method Based on L-M Algorithm for Fitting Complex Modulus of Viscoelastic Material
针对固体火箭发动机药柱粘弹性材料的本构关系复杂,复模量难以有效拟合的问题,本文提出了一种基于L-M算法的复数神经网络拟合粘弹性材料复模量的方法。通过广义Maxwell模型推导得到材料的复模量表达式,以此构造未定网络参数为复数的神经网络,从而提供了一种输入,输出样本均为复数的神经网络解决方法。参考实数的L-M算法,将此算法衍生到复数领域。通过对神经网络进行训练,实现粘弹性材料复模量的高精度拟合。数值算例表明,相比传统神经网络拟合方法相比,在训练速度和泛化能力方面都有其优越性。
In this paper, a complex neural network method based on L-M algorithm was proposed to fit the complex modulus of viscoelastic material. It solved the problem that viscoelastic material constitutive relationship of solid rocket motor was complex and the complex modulus is difficult to fit effectively. The complex modulus expression of the material was obtained by generalized Maxwell model. It can construct the neural network with undecided complex network parameters Then the neural network solution was provided, which the input and the output samples were all complex. Referring to the real L-M algorithm, this algorithm was derived from the complex field. Through training of neural network, we achieved high precision fitting complex modulus of viscoelastic material. Numerical examples showed that compared with the traditional neural network fitting method, the proposed methoComplex Neural Network Method Based on L-M Algorithm for Fitting Complex Modulus of Viscoelastic Materiald had its superiority in training speed and generalization ability.
李海滨、贺云
军用火箭、导弹技术数学力学
应用力学粘弹性自定义神经网络复模量拟合
pplied machanicsViscoelasticityCustom neural networkComplex modulusFitting
李海滨,贺云.基于L-M算法的复数神经网络方法拟合粘弹性材料复模量[EB/OL].(2017-09-25)[2025-06-04].http://www.paper.edu.cn/releasepaper/content/201709-111.点此复制
评论