Abstract
This chapter deals with experimental dynamic substructures which are reduced order models that can be coupled with each other or with finite element derived substructures to estimate the system response of the coupled substructures. A unifying theoretical framework in the physical, modal or frequency domain is reviewed with examples. The major issues that have hindered experimental based substructures are addressed. An example is demonstrated with the transmission simulator method that overcomes the major historical difficulties. Guidelines for the transmission simulator design are presented.
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Abbreviations
- FRF:
-
Frequency response function
- RMS:
-
Root mean square
- DOF:
-
Degree of freedom
- g :
-
Connection force at a single connection DOF
- u :
-
Physical displacement of a single DOF
- ω :
-
Frequency in radians per second
- B :
-
Matrix associated with compatibility of connected DOF
- L :
-
Matrix associated with equilibrium forces of connected DOF
- Y :
-
Frequency response function matrix
- Φ :
-
Mode shape matrix
- \( \overline{\mathbf{u}} \) :
-
Vector of displacements
- \( \overline{\mathbf{g}} \) :
-
Vector of connection forces
- \( \overline{\mathbf{q}} \) :
-
Vector of non-redundant connection DOF (physical or generalized coordinates)
- \( \overline{\xi} \) :
-
Vector of generalized modal DOF
- †:
-
Superscript indicating the Moore-Penrose pseudo-inverse of a matrix
References
De Klerk D, Rixen DJ, Voormeeren SN (2008) General framework for dynamic substructuring: History, review, and classification of techniques. AIAA J 46(5):1169–1181
Allen MS, Mayes RL, Bergman EJ (2010) Experimental modal substructuring to couple and uncouple substructures with flexible fixtures and multi-point connections. J Sound Vib 329:4891–4906
Kammer DC (1991) Sensor placement for on-orbit modal identification and correlation of large space structures. J Guid Control Dyn 14:251–259
Carne TG, Dohrmann CR (1995) A modal test design strategy for model correlation. In: 13th international modal analysis conference, Nashville, pp 927–933
Bergman EJ, Allen MS, Kammer DC, Mayes RL (2010) Probabilistic investigation of sensitivities of advanced test-analysis model correlation methods. J Sound Vib 329:2516–2531
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© 2020 The Society for Experimental Mechanics
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Mayes, R., Allen, M. (2020). Experimental Dynamic Substructures. 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_24-1
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DOI: https://doi.org/10.1007/978-1-4939-6503-8_24-1
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Publisher Name: Springer, New York, NY
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Chapter history
-
Latest
Experimental Dynamic Substructures- Published:
- 02 September 2021
DOI: https://doi.org/10.1007/978-1-4939-6503-8_24-2
-
Original
Experimental Dynamic Substructures- Published:
- 26 January 2021
DOI: https://doi.org/10.1007/978-1-4939-6503-8_24-1