一种新型分数阶Tikhonov正则化载荷重构技术及应用

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (6) : 121-126.

论文

王能建1, 任春平1, 刘春生2

作者信息 +

Novel fractional order Tikhonov regularization load reconstruction technique and its application

WANG Nengjian1，REN Chunping1，LIU Chunsheng2

Author information +

文章历史 +

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。

Abstract

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.

导出引用

王能建1, 任春平1, 刘春生2. 一种新型分数阶Tikhonov正则化载荷重构技术及应用[J]. 振动与冲击, 2019, 38(6): 121-126

WANG Nengjian1，REN Chunping1，LIU Chunsheng2. Novel fractional order Tikhonov regularization load reconstruction technique and its application[J]. Journal of Vibration and Shock, 2019, 38(6): 121-126

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