Solving the transient response of the randomly excited dry friction system via piecewise RBF neural networks

作     者：QIAN JiaMin CHEN LinCong SUN JianQiao QIAN JiaMin;CHEN LinCong;SUN JianQiao

作者机构：College of Civil EngineeringHuaqiao UniversityXiamen361021China Key Laboratory for Intelligent Infrastructure and Monitoring of Fujian ProvinceHuaqiao UniversityXiamen361021China Department of Mechanical EngineeringSchool of EngineeringUniversity of CaliforniaMercedCA95343USA 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2023年第66卷第5期

页      面：1408-1416页

核心收录：

学科分类：0711[理学-系统科学] 12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 081104[工学-模式识别与智能系统] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0701[理学-数学] 080101[工学-一般力学与力学基础] 0812[工学-计算机科学与技术（可授工学、理学学位）] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.12072118) the Natural Science Funds for Distinguished Young Scholar of the Fujian Province of China(Grant No.2021J06024) the Project for Youth Innovation Fund of Xiamen(Grant No.3502Z20206005) 

主　　题：dry friction system transient response semi-analytical solution piecewise RBF neural networks 

摘      要：Over the years,practical importance and interesting dynamical features have caused a growing interest in dry friction ***,an effective approach to capture the non-smooth transition behavior of such systems is still ***,we propose a piecewise radial basis function neural network(RBFNN)strategy to solve the transient response of the randomly excited dry friction *** the established framework,the transient probability density function of the dry friction system is expressed in a piecewise *** segment of the solution is expressed by the sum of a series of Gaussian activation functions with time-dependent *** time dependent weights are solved by minimizing the loss function,which involves the residual of the Fokker-Planck-Kolmogorov equations and constraint *** avoid the singularity of the initial condition being a Dirac delta function,a short-time Gaussian approximation strategy is presented to solve the initiating time-dependent *** on some numerical results,the proposed scheme effectively ***,a comparison with other existing methods reveals that the proposed scheme can completely capture the nonlinear characteristic of the dry friction system stochastic response more ***,we can easily extend the proposed method to other types of non-smooth systems with piecewise response ***,the semi-analytical solution provides a valuable reference for system optimization.