journal article·2023-05-26Open access

Multi-Domain Substructure Synthesis with Normalized Interpolation Technique for Non-Matching Interfaces

Zhaoyue Chen, Li Liu, Shulin Chen

Applied Sciences· Volume 13· Issue 11

Abstract

The dynamic prediction of large spacecraft is a time-consuming process. The impulse-based substructuring (IBS) method is an efficient and accurate method for the dynamic analysis of large-scale structures. The ordinary IBS method couples the substructure impulse response functions (IRFs) with coincident interface nodes. However, the interface nodes in a practical structure are usually mismatched. This paper extends the ordinary IBS method and presents a method for coupling multi-domain substructures, including IBS, FEM and modal substructures, with non-matching interfaces. Both displacement compatibility and force equilibrium are satisfied on the non-matching interfaces of substructures by introducing the normalized interpolation technique into the framework of IBS. To evaluate the performance of the proposed method, numerical models and a practical application with a lunar lander and a rover are presented. The main bodies of the lander and the rover are coupled by non-matching interfaces, and the coupled system is excited by a buffer load. With the employment of this proposed method, the computing time of the landing simulation of the lunar lander is dramatically reduced, and the results show strong agreement with references. It is demonstrated that the proposed method is accurate and efficient in the transient dynamic analysis of engineering structures.
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Research context

OpenAlex topics: Structural Health Monitoring Techniques · Probabilistic and Robust Engineering Design · Fluid Dynamics Simulations and Interactions

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

Funding

National Natural Science Foundation of China

References (33)

Show source-provided references
1. Vibrations of structural systems by component mode synthesis10.1061/JMCEA3.0000162 ↗
2. Craig, R.R. (2000, January 3–6). Coupling of substructures for dynamic analyses: An overview. Proceedings of the 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, Atlanta, GA, USA. AIAA Paper 2000-1573.10.2514/6.2000-1573 ↗
3. Generalized frequency domain substructure synthesis10.4050/JAHS.33.1.55 ↗
4. An Impulse Based Substructuring approach for impact analysis and load case simulations10.1016/j.jsv.2013.08.004 ↗
5. General framework for dynamic substructuring: History, review, and classification of techniques10.2514/1.33274 ↗
6. Truncating the Impulse Responses of Substructures to Speed Up the Impulse-Based Substructuring
7. Integral equation formulation for transient structural synthesis10.2514/3.12454 ↗
8. Substructuring Using Impulse Response Functions for Impact Analysis
9. Rixen, D.J. (2010, January 20–22). A Substructuring Technique Based on Measured and Computed Impulse Response Functions of Components. Proceedings of the Isma2010—International Conference on Noise and Vibration Engineering, KU Leuven, Leuven, Belgium.
10. Van der Seijs, M.V., and Rixen, D.J. (2012, January 14–15). Efficient impulse based substructuring using truncated impulse response functions and mode superposition. Proceedings of the International Conference on Noise and Vibration Engineering, KU Leuven, Leuven, Belgium.
11. An Effective Method for Assembling Impulse Response Functions to Linear and Non-Linear Finite Element Models
12. An Impulse Based Substructuring method for coupling impulse response functions and finite element models10.1016/j.cma.2014.03.003 ↗
13. Substructure Synthesis in Time Domain with Rigid-Elastic Hybrid Joints10.2514/1.J053630 ↗
14. Time-Domain Substructure Synthesis with Hybrid Rigid and Nonlinear-Elastic Joints10.2514/1.J054466 ↗
15. Multi-domain substructures synthesis with general joints for the dynamics of large structures10.1063/1.4999110 ↗
16. Aminpour, M., Ransom, J., and McCleary, S. (1992, January 13–15). Coupled analysis of independently modeled finite element subdomains. Proceedings of the 33rd Structures, Structural Dynamics and Materials Conference, Dallas, TX, USA.10.2514/6.1992-2235 ↗
17. Aminpour, M., Pageau, S., and Shin, Y. (2001, January 11–14). Improved interface modeling technology. Proceedings of the 19th AIAA Applied Aerodynamics Conference, Anaheim, CA, USA.10.2514/6.2001-1548 ↗
18. Ransom, J., McCleary, S., and Aminpour, M. (1993, January 19–22). A New Interface Element for Connecting Independently Modeled Substructures. Proceedings of the 34th Structures, Structural Dynamics and Materials Conference, La Jolla, CA, USA.10.2514/6.1993-1503 ↗
19. A variational principle for the formulation of partitioned structural systems10.1002/(SICI)1097-0207(20000110/30)47:1/3<395::AID-NME777>3.0.CO;2-9 ↗
20. An Isoparametric Joint Interface Element for Finite-Element Analysis10.1002/nme.1620210402 ↗
21. An interface element formulation for the analysis of soil-reinforcement interaction10.1016/0266-352X(89)90011-6 ↗
22. Solid-To-Shell Transition-Elements for the Computation of Interlaminar Stresses10.1016/0956-0521(94)90050-7 ↗
23. Interface element method (IEM) for a partitioned system with non-matching interfaces10.1016/S0045-7825(02)00255-4 ↗
24. An improved interface element with variable nodes for non-matching finite element meshes10.1016/j.cma.2004.08.002 ↗
25. Cho, J.Y., An, J., and Jee, Y.B. (2003, January 7–10). Displacement Welding Technique for Coupled Analysis of Independently Modeled Finite Element Substructures. Proceedings of the 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Norfolk, VA, USA.10.2514/6.2003-1677 ↗
26. Review of coupling methods for non-matching meshes10.1016/j.cma.2006.03.017 ↗
27. Kriging: A method of interpolation for geographical information systems10.1080/02693799008941549 ↗
28. Comparative studies of metamodelling techniques under multiple modelling criteria10.1007/s00158-001-0160-4 ↗
29. Comparison between the radial point interpolation and the Kriging interpolation used in meshfree methods10.1007/s00466-003-0462-z ↗
30. Moving Kriging reconstruction for high-order finite volume computation of compressible flows10.1016/j.cma.2012.08.016 ↗
31. Moving kriging interpolation and element-free Galerkin method10.1002/nme.553 ↗
32. Basis of finite element methods for solid continua10.1002/nme.1620010103 ↗
33. A coupled finite element-element-free Galerkin method10.1007/BF00364080 ↗