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FEM Sensitivity Vector Basis for Measured Mode Expansion

机译：测量模式扩展的有限元灵敏度矢量基础

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摘要

Expansion of measured mode vectors (or operating deflection shapes) from sensor to FEM degrees of freedom requires utilization of theoretical FEM shape vectors. The most often used shape vectors are based on (a) the Guyan reduction (static condensation) transformation, and (b) FEM theoretical mode shapes. Accuracy of such expansions is severely limited by the fact that the vector expansion is derived from a specific baseline FEM. This paper introduces an expansion transformation based on FEM sensitivity vectors that have been employed for the past decade in FEM parametric sensitivity and FEM-test reconciliation analyses. Since the sensitivity vector based expansion spans a wide parametric uncertainty space, it accurately reconstructs the full order FEM modes, regardless of actual unknown system parameters. A simple illustrative example is provided to demonstrate performance of the currently used and sensitivity based mode expansion strategies. A series of practical applications of the new strategy are cited.
机译：从传感器到FEM自由度的测量模式向量（或操作偏转形状）的扩展需要利用理论有限元形向量。最常用的形状向量基于（a）Guyan减少（静态凝结）转换，（b）有限元理论模式形状。这种扩展的准确性受到从特定基线FEM导出的传染媒介膨胀的事实受到严重限制。本文介绍了基于FEM敏感性载体的膨胀转换，这些传感器已经在FEM参数敏感度和FEM测试和解分析中受雇于过去十年。由于基于灵敏度向量的扩展跨越了宽的参数不确定度空间，因此无论实际未知系统参数如何，它都准确地重建了完整的FEM模式。提供了一个简单的说明性示例，以展示当前使用的基于和灵敏度的模式扩展策略的性能。引用了一系列新战略的实际应用。

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