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Experimental Modal Analysis Methods

Handbook of Experimental Structural Dynamics

Abstract

This chapter provides the basis and background of all experimental modal analysis (EMA) methods that have been developed over the last fifty years. In this context, modal parameters refer to complex valued modal frequencies, complex valued modal vectors and complex valued modal scaling. The chapter focusses on modal parameter estimation (MPE) methods that have been or are commercially available but includes many related MPE methods that have been developed and presented in research journals and articles as well. The methods are mostly based upon experimentally measured frequency response function (FRF) or impulse response function (IRF) data. MPE methods that are fundamentally single input, single output (SISO) methods finding one single mode are included through modern multiple input, multiple output (MIMO) methods that find all modal parameters for all modes simultaneously (in one or two passes). Discussion includes the theoretical background of all methods along with the kernel equations for each method. The mathematical development utilizes a central concept of matrix concept polynomials that provide the basis of the unified matrix polynomial approach (UMPA). Basic definitions and are included as concepts are developed and a complete set of historical references is provided.

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Authors and Affiliations

  1. Structural Dynamics Research Laboratory, Mechanical and Materials Engineering, University of Cincinnati, Cincinnati, OH, USA

    R. J. Allemang & D. L. Brown

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  1. R. J. Allemang
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  2. D. L. Brown
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Correspondence to R. J. Allemang or D. L. Brown .

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Editors and Affiliations

  1. University of Cincinnati, Cincinnati, OH, USA

    R. Allemang

  2. Mechanical Engineering, University of Massachusetts Lowell, Lowell, MA, USA

    Peter Avitabile

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Allemang, R.J., Brown, D.L. (2020). Experimental Modal Analysis Methods. In: Allemang, R., Avitabile, P. (eds) Handbook of Experimental Structural Dynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-6503-8_36-1

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  • DOI: https://doi.org/10.1007/978-1-4939-6503-8_36-1

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Chapter history

  1. Latest

    Experimental Modal Analysis Methods
    Published:
    01 January 2022

    DOI: https://doi.org/10.1007/978-1-4939-6503-8_36-2

  2. Original

    Experimental Modal Analysis Methods
    Published:
    22 January 2021

    DOI: https://doi.org/10.1007/978-1-4939-6503-8_36-1

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