Step-by-step decoupling method for inverse substructuring analysis of a three-component coupled packaging system

Abstract

Based on a step-by-step decoupling method, an inverse substructuring method is developed for the analysis of the dynamic characteristics of a single-coordinate coupled three-substructure system. The closed-form analytical solution to inverse substructuring analysis of the system is derived. The proposed method is validated by a lumped mass-spring-damper model, the predicted frequency response functions (FRFs) of substructures and the coupling stiffness; in addition, the most relevant system-level FRFs are compared with the direct computations, showing exact agreement. Finally, the sensitivity of the proposed method to measurement error is studied. The method developed offers an approach to extract the unknown substructure-level FRFs and coupling stiffness from system-level FRFs purely for single-coordinate coupled substructures.

Keywords

Multi-substructure coupled system frequency response function inverse substructuring method decoupling packaging

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References

Cloutier

Avitabile

(2011) Investigation on the use of various decoupling approaches. In Structural Dynamics, New York: Springervol 3: 679–687.

D'Ambrogio W and Fregolent A (2008a) Promises and pitfalls of decoupling procedures. In: proceedings of the twenty-sixth international modal analysis conference, Orlando, FL.

D'Ambrogio W and Fregolent A (2008b) Sensitivity of decoupling techniques to uncertainties in the properties. In: proceedings of international conference on noise and vibration engineering, Leuven, Belgium.

D'Ambrogio W and Fregolent A (2009) Decoupling procedures in the general framework of frequency based substructuring. In: proceedings of international modal analysis conference, Orlando, FL.

D'Ambrogio

Fregolent

(2010) The role of interface DoFs in decoupling of substructures based on the dual domain decomposition. Mechanical Systems and Signal Processing 24(7): 2035–2048.

Lim

(2000) A theoretical and computational study of the FRF-based substructuring technique applying enhanced least square and TSVD approaches. Journal of Sound and Vibration 231(4): 1135–1157.

Otte D, Leuridan J, Grangier H, et al. (1991) Prediction of the dynamics of structural assemblies using measured FRF-data: Some improved data enhancement techniques. In: proceedings of 9th international modal analysis conference, Florence, Italy, pp.909--918.

Ren

Beards

(1995) On substructure synthesis with FRF data. Journal of Sound and Vibration 185(5): 845–866.

Sjovall

Abrahamsson

(2008) Substructure system identification from coupled system test data. Mechanical Systems and Signal Processing 22(1): 15–33.

10.

Wang

(2010) Inverse substructure method of three-substructures coupled system and its application in product-transport-system. Journal of Vibration and Control 17(6): 943–951.

11.

Wang ZW, Wang J, Hu CY, et al. (2008) Investigation into the dynamical characteristics of transport packaging system based on key component by applying inverse substructuring method. In: proceedings of the 16th IAPRI world conference on packaging, Bangkok.

12.

Zhen

Lim

(2004a) Determination of system vibratory response characteristics applying a spectral-based inverse sub-structuring approach. Part I: Analytical formulation. International Journal of Vehicle Noise and Vibration 1(1): 1–30.

13.

Zhen

Lim

(2004b) Determination of system vibratory response characteristics applying a spectral-based inverse substructuring approach. Part II: Motor vehicle structures. International Journal of Vehicle Noise and Vibration 1(1): 31–67.