Full-field strain estimation of subsystems within time-varying and nonlinear systems using modal expansion

Marius Tarpo; Tobias Friis; Christos Georgakis; Rune Brincker

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Full-field strain estimation of subsystems within time-varying and nonlinear systems using modal expansion

机译：使用模态扩展时断和非线性系统中子系统的全场应变估计

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Virtual sensing allows for the estimation of stress and/or strain response in unmeasured locations of a system. Often, these virtual sensing techniques assume a linear and time-invariant system with proportional damping. In this article, one virtual sensing technique - the modal expansion - is proven applicable for stress/strain estimation of subsystems within time-varying and nonlinear systems with general viscous damping where the time-varying and nonlinear effects act externally on the subsystems. This technique uses the mode shapes of the subsystem to expand the response by a subspace projection. It is proven that the mode shapes of the underlying undamped and linear system form a basis for the response of the time-varying and nonlinear systems with general viscous damping. Therefore, a truncation of the mode shapes results in modal truncation errors that depend on the span of the applied mode shapes. Thus using an appropriate set of undamped and linear mode shapes of the subsystem, the modal expansion allows for estimation of the stress/strain response for "linear" subsystems within time-varying and nonlinear systems with general viscous damping. This concept is proven both numerically and experimentally.

机译：虚拟感测允许估计系统的未测量位置中的应力和/或应变响应。通常，这些虚拟传感技术假设具有比例阻尼的线性和时间不变系统。在本文中，一种虚拟感测技术 - 模态扩展 - 被证明适用于时变和非线性系统内的子系统的应力/应变估计，其具有一般粘性阻尼，其中时变和非线性效应在子系统外部起作用。该技术使用子系统的模式形状来扩展子空间投影的响应。据证明，底层透明和线性系统的模式形状形成了一般粘性阻尼的时变和非线性系统的响应的基础。因此，模式形状的截断导致模态截断误差，其取决于所应用的模式形状的跨度。因此，使用子系统的适当的未透明和线性模式形状，模态扩展允许估计具有一般粘性阻尼的时变和非线性系统内的“线性”子系统的应力/应变响应。这一概念在数字和实验上被证明。

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来源
《Mechanical systems and signal processing》 |2021年第5期|107505.1-107505.19|共19页
作者
Marius Tarpo; Tobias Friis; Christos Georgakis; Rune Brincker;
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作者单位

Aarhus University Department of Engineering Inge Lehmanns Cade 10 Aarhus Denmark;

Technical University of Denmark Department of Civil Engineering Brovej B.118 Kgs. Lyngby Denmark;

Aarhus University Department of Engineering Inge Lehmanns Cade 10 Aarhus Denmark;

Technical University of Denmark Department of Civil Engineering Brovej B.118 Kgs. Lyngby Denmark;

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正文语种 eng
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Virtual sensing; Structural modification theory; Hybrid modal analysis; Structural health monitoring;

机译：虚拟传感;结构修改理论;杂交模态分析;结构健康监测;

Full-field strain estimation of subsystems within time-varying and nonlinear systems using modal expansion

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