弹塑性接触问题神经网络计算模型

Neural Network Model for Solving Elastoplastic Contact Problem

利用神经网络优化计算原理,引入LPNN(Lagrange Programming Neural Network)模型求解弹塑性摩擦接触问题,提高了神经网络计算精度。通过采用非线性函数作为神经元的传递函数,使神经网络的非线性问题同力学的非线性问题得到统一。最后对两个简单的弹塑性接触问题进行了数值仿真,验证了算法可行有效。

According to the basic optimization principle of artificial neural network, the Lagrange Programming Neural Network (LPNN) model is employed to solve the elastoplastic contact problems, and the accuracy of neural network is then improved. The analytical scheme of nonlinear contact mechanics is corresponded to that of Neural Network by considering nonlinear functions as nerve cell translation functions. Two simple elastoplastic problems are numerically simulated to verify the flexibility and efficiency of this model.