Abstract
Global dynamics of a coupled system are synthesized using a substructuring technique based on the transfer functions of the subsystems. In this chapter, the substructuring method was applied in transmission system. The Frequency-Based Substructuring (FBS) methods are considered to identify the dynamic behavior of a structural system. Impedance coupling technique is applied to a double reducer stage, which is based on the Frequency Response Functions (FRFs) of each substructure and constraint conditions in the connection coordinates. The FRF-based substructuring technique has been previously proposed for computing the vibration modes of complex structural system by coupling the FRF of each subsystem. The effect of damping on substructuring method was discussed. Finally, the coupling technique is validated by comparing the present results with the full system ones. The major interest of using this method is that it allows replacing each subsystem by another subsystem without repeating the computation of the full system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bishop RED, Johnson DC (1960) The mechanics of vibration. Cambridge University Press, Cambridge
Chaari F, Baccar M, Abbes S, Haddar M (2008) Effect of spalling or tooth breakage on gear mesh stiffness and dynamic response of a one-stage spur gear transmission. Eur J Mech A/Solids 27:691–705
Choi BL, Park JM (2002) Application of the impedance coupling method and the equivalent rotor model in rotor dynamics. J Finite Elements Anal Des 441–832
Craig R, Bampton M (1968) Coupling of substructures for dynamic analysis. Am. Inst. Aero. Astro 1313–1319
D’Ambrogio W, Fregolent A (2008) Promises and pitfalls of decoupling procedures. In: Proceeding of 26th IMAC. Orlando, USA
D’Ambrogio W, Fregolent A (2010) The role of interface DoFs in decoupling of substructures based on the dual domain decomposition. Mech Syst Signal Process 24:2035–2048
Gladwell G (1964) Branch mode analysis of vibrating systems. J Sound Vib 41–59
Guyan R J (1965) Reduction of stiffness and mass matrices. AIAA J
Irvine T (2014) Notes on damping in FRF substructuring. Vib data
Jetmundsen B, Bielawa RL, Flannelly WG (1988) Generalized frequency domain substructure synthesis. J Am Helicopter Soc 55–64
Lin J, Parker RG (2001) Parametric resonance in two-stage gears from fluctuating mesh stiffness. Int J Gearing Transm 127–134
Liu W, Ewins DJ (2002) Substructure synthesis via elastic media. J Sound Vib 257(2):361–379
Per sjövall, Thomas Abrahamsson (2008) Substructure system identification from coupled system test data. Mech Syst Signal Process 22(1):15–33
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Bouslema, M., Frikha, A., Fakhfakh, T., Nasri, R., Haddar, M. (2018). Analysis of Double Reducer Stage Using Substructuring Method. In: Haddar, M., Chaari, F., Benamara, A., Chouchane, M., Karra, C., Aifaoui, N. (eds) Design and Modeling of Mechanical Systems—III. CMSM 2017. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-66697-6_41
Download citation
DOI: https://doi.org/10.1007/978-3-319-66697-6_41
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-66696-9
Online ISBN: 978-3-319-66697-6
eBook Packages: EngineeringEngineering (R0)