一种新型分数阶Tikhonov正则化载荷重构技术及应用  

Novel fractional order Tikhonov regularization load reconstruction technique and its application

作　　者：王能建[1] 任春平 刘春生[2] WANG Nengjian;REN Chunping;LIU Chunsheng(College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China;Heilongjiang University of Science and Technology, Harbin 150022, China)

机构地区：[1]哈尔滨工程大学机电工程学院,哈尔滨150001 [2]黑龙江科技大学,哈尔滨150022

出　　处：《振动与冲击》2019年第6期121-126,158,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51674106)

摘　　要：针对整数阶Tikhonov正则化载荷重构技术存在病态性和对噪声敏感等不足,提出一种新型分数阶Tikhonov正则化技术,将处理反问题的过程转化为一类无约束优化问题,并采用超记忆梯度法求解目标函数。通过工程应用算例验证所提出技术的实用性和稳定性,为解决工程应用中的反问题提供了一种新的有效方法。A novel fractional order Tikhonov regularization technique was proposed to deal with the ill-posed and sensitive to noise properties of the integer order Tikhonov regularization load reconstruction technique. The inverse problem was transformed into an unconstrained optimization problem, and the objective function was solved by using the super memory gradient method. The practicability and stability of the proposed technique were verified via an engineering example, which provides a new and effective method for solving inverse problems in engineering applications.

关 键 词：反问题 病态性 载荷重构 新型分数阶Tikhonov正则化 超记忆梯度法 

分 类 号：TD421[矿业工程—矿山机电]