Artifacts in approximate solutions of nonlinear dynamical systems

非线性动力系统近似解中的伪影

• 批准号: 391925644
• 负责人: Professor Dr. Volker Mehrmann
• 金额: --
• 依托单位: Fachgebiet Numerische Mathematik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2018
• 资助国家: 德国
• 起止时间: 2017-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/391925644?language=en
• 关键词: Artifacts; approximate; solutions; nonlinear; dynamical

The investigation of nonlinear processes is a key issue in natural sciences and engineering especially in mechanical systems. There are numerous phenomena in vibrations that can only be explained by a nonlinear modeling.A number of analytical procedures like Harmonic Balance exist for the solution of such problems. However, these methods may produce artifact solutions. Based on prior work of the applicants these artifacts in analytical approximate solutions shall be identified for a number of nonlinear systems.

非线性过程的研究是自然科学和工程特别是机械系统中的一个关键问题。振动中有许多现象只能用非线性模型来解释，有许多分析方法，如谐波平衡法，可以用来解决这些问题。然而，这些方法可能产生伪影解决方案。基于申请人先前的工作，应针对许多非线性系统识别分析近似解中的这些伪影。

项目成果

Avoidance of artifacts in harmonic balance solutions for nonlinear dynamical systems

避免非线性动力系统谐波平衡解决方案中的伪影

• DOI: 10.15632/jtam-pl/118161
• 发表时间: 2020
• 期刊: Journal of Theoretical and Applied Mechanics
• 影响因子: 0.7
• 作者: L. Lentz;U. von Wagner
• 通讯作者: U. von Wagner