General perturbation correction: full-decomposition and physics-based elimination of non-secular terms
General perturbation correction: full-decomposition and physics-based elimination of non-secular terms
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一般扰动校正：非世俗项的全分解和基于物理的消除
DOI：
10.1016/j.ijmecsci.2021.106966
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发表时间：
2021-11
影响因子：
7.3
通讯作者：
Houjun Kang
中科院分区：
文献类型：
--
作者：
Tieding Guo;Giuseppe Rega;Houjun Kang
与全基离散化（或等效的直接摄动法）相比，基于结构的单（有限）模态伽辽金截断模型的离散摄动分析可能会导致错误的结果。该误差是由于两个涉及的分析步骤，即，多尺度展开和模态截断，它们之间是不可交换的。然而，这种错误（或非可交换性）的关键潜在物理起源仍不清楚。目前的工作的新奇是提出了一个新的基于物理的误差源解释，并相应地，一个通用的扰动校正程序。解释，一般的物理为基础的解释的误差源是指由于频谱混合和单（有限）模式截断的低阶非长期效应的不完整表征。三个典型的动态场景，即，硬外部激励，二次非线性，和硬边界运动，在同一个统一的框架。通过引入全谱分解和物理等效地完全消除非久期项，提出了摄动分析中常用的有限模截断的一般修正方法，并通过数值算例进行了验证。
Discretized perturbation analysis based upon a structure's single (finite) mode Galerkin-truncated model may lead to erroneous results in comparison with full-basis discretization (or, equivalently, direct perturbation method). This error is due to the two involved analytical steps, i.e., multi-scale expansion and mode truncation, being non-commutative with each other. However, the key underlying physical origin for this error (or non-commutativity) is still unclear. The novelty of the current work is to propose a new physics-based error source interpretation and, accordingly, a general perturbation correction procedure. Explicitly, a general physics-based interpretation for the error source is referred to the incomplete characterization of low-order non-secular effects due to both spectrum mixture and single (finite) mode truncation. Three typical dynamical scenarios, i.e., hard external excitation, quadratic nonlinearity, and hard boundary motion, are addressed in the same unified framework. By introducing a full spectrum decomposition and a complete elimination of the non-secular term in a physically equivalent manner, a general correction procedure of the finite mode truncation often used in perturbation analysis is proposed and then validated through numerical examples.
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DOI：
10.1115/1.4037883
发表时间：
2017-11
期刊：
Journal of Applied Mechanics
影响因子：
--
作者：
Xiao-Ye Mao;H. Ding;Liqun Chen
通讯作者：
Xiao-Ye Mao;H. Ding;Liqun Chen
影响因子：
3.6
作者：
A. Steindl;H. Troger
通讯作者：
A. Steindl;H. Troger
影响因子：
3.2
作者：
G. Rega;W. Lacarbonara;A. Nayfeh;C. Chin
通讯作者：
G. Rega;W. Lacarbonara;A. Nayfeh;C. Chin
影响因子：
5.6
作者：
A. Nayfeh
通讯作者：
A. Nayfeh
影响因子：
5.6
作者：
V. Settimi;O. Gottlieb;G. Rega
通讯作者：
V. Settimi;O. Gottlieb;G. Rega