Abstract
Structural response and response sensitivity play an important role in the fields of model updating, damage identification and dynamic optimization. Calculation of response and response sensitivity of a large and complex structure usually takes up considerable computational time. This paper proposes a substructuring method to calculate the structural response and response sensitivity, where the vibration equation is represented by a few master eigenvectors of independent substructures and compensated by a residue. The response sensitivity with respect to a parameter is calculated from the eigenvector derivatives of its related substructure solely whereas the derivatives of other substructures are zeros. The size of the simplified vibration equation is equal to that of the master eigenvectors retained, which is much smaller than the original vibration equation. The proposed method is applied to a practical bridge structure. The case study verifies that the proposed method is highly efficient and accurate to calculate the structural response and response sensitivity.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Lu ZR, Law SS (2007) Features of dynamic response sensitivity and its application in damage detection. J Sound Vib 303(1–2):305–329
Lu ZR, Law SS (2004) State-space approach to calculate sensitivity of dynamic response. In: Proceedings of IMECE04, ASME international mechanical engineering congress and exposition, Anaheim, California, USA
Newmark NM (1959) A method of computation for structural dynamics. J Eng Mech Div ASCE 85(1):67–94
Weng S, Tian W, Zhu HP, **a Y, Gao F, Zhang YT, Li JJ (2017) Dynamic condensation approach to calculation of structural response and response sensitivity. Mech Syst Signal Process 88:302–317
Klerk DD, Rixen DJ, Voormeeren SN (2008) General framework for dynamic substructuring: history, review, and classification of techniques. AIAA J 46(5):1169–1181
Weng S, **a Y, Xu YL, Zhou XQ, Zhu HP (2009) Improved substructuring method for eigensolutions of large-scale structures. J Sound Vib 323(3–5):718–736
Craig RR, Bampton MCC (1968) Coupling of substructures for dynamic analyses. AIAA J 6(7):1313–1319
Nelson RB (1976) Simplified calculation of eigenvector derivatives. AIAA J 24(14):1201–1205
Zhu HP, Mao L, Weng S (2014) A sensitivity-based structural damage identification method with unknown input excitation using transmissibility concept. J Sound Vib 333:7135–7150
Ebrahimian H, Astroza R, Conte JP (2015) Extended Kalman filter for material parameter estimation in nonlinear structural finite element models using direct differentiation method. Earthquake Eng Struct Dynam 44:1495–1522
Acknowledgements
The research is supported by National Natural Science Foundation of China (NSFC, contract number: 51922046, 51778258), Basic Research Program of China (2016YFC0802002), Fundamental Research Funds of the Central Universities (HUST: 2016JCTD113, 2014TS130 and 2015MS064).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Li, J.J., Yang, G.J., Weng, S., Yan, Y.Y. (2021). Calculation of Structural Response and Response Sensitivity with Improved Substructuring Method. In: Wang, C.M., Dao, V., Kitipornchai, S. (eds) EASEC16. Lecture Notes in Civil Engineering, vol 101. Springer, Singapore. https://doi.org/10.1007/978-981-15-8079-6_53
Download citation
DOI: https://doi.org/10.1007/978-981-15-8079-6_53
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-8078-9
Online ISBN: 978-981-15-8079-6
eBook Packages: EngineeringEngineering (R0)