Transcription of MODAL ANALYSIS - Vrije Universiteit Brussel
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MODAL ANALYSIS - Vrije Universiteit Brussel
MODAL ANALYSIS Patrick Guillaume, Department of Mechanical Engineering, Vrije Universiteit Brussel , Pleinlaan 2, B-1050 Brussel , Belgium. Keywords: Vibration, Estimation, Frequency domain, MODAL ANALYSIS , MODAL parameters, Natural frequency, Damping, Mode shapes, Transfer function, SISO, MIMO, Mechanical systems, SDOF, MDOF. Contents 1. Introduction 2. The MODAL Model Single Degree of Freedom Multiple Degree of Freedom Mode Shapes and Operating Deflection Shapes Observability and Controllability of Modes 3. Frequency-Domain Identification of Modes Least-Squares Estimation Common-Denominator Model Linearity in the Parameters Normal Equations Reduced Normal Equations Stabilization Chart Maximum Likelihood Estimation Gauss-Newton Optimization Confidence Intervals 4.
Today, modal analysis has become a widespread means of finding the modes of vibration of a machine or structure (Figure 3). In every development of a new or improved mechanical product, structural dynamics testing on product prototypes is used to assess its real dynamic behavior. Figure 3: Modal analysis of a car body. 2. The “Modal” Model
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