Abstract
Lacayo et al. (Mechanical Systems and Signal Processing, 118: 133–157, 2019) recently proposed a fast model updating approach for finite element models that include Iwan models to represent mechanical joints. The joints are defined by using RBE3 averaging constraints or RBAR rigid constraints to tie the contact surface nodes to a single node on each side, and these nodes are then connected with discrete Iwan elements to capture tangential frictional forces that contribute to the nonlinear behavior of the mechanical interfaces between bolted joints. Linear spring elements are used in the remaining directions to capture the joint stiffness. The finite element model is reduced using a Hurty/Craig-Bampton approach such that the physical interface nodes are preserved, and the Quasi-Static Modal Analysis approach is used to quickly predict the effective natural frequency and damping ratio as a function of vibration amplitude for each mode of interest. Model updating is then used to iteratively update the model such that it reproduces the correct natural frequency and damping at each amplitude level of interest. In this paper, Lacayo’s updating approach is applied to the S4 Beam (Singh et al., IMAC XXXVI, 2018) giving special attention to the size and type of the multi-point constraints used to connect the structures, and their effect on the linear and nonlinear modal characteristics.
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- 1.
Fixed interface modes are normal modes obtained by fixing the interface between two subcomponents.
- 2.
Constraint modes are obtained by deflecting a single mode by a unit displacement while fixing the other DOF.
- 3.
If all sliders have the same friction coefficient then the slip force is defined by the normal force for each slider.
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Acknowledgments
This research was funded by Sandia National Laboratories. Sandia National Laboratories is a multi-mission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC., a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-NA-0003525. SAND2018-11919 C.
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Appendix: Full Interface RBAR Springs for all Models
Appendix: Full Interface RBAR Springs for all Models
In this case study, the full interface RBAR case linear spring stiffnesses were used to attach the four interfaces for the other three models. The tables below depict their results with Table 4.7 showing the linear frequencies and Table 4.8 showing the percent errors.
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Singh, A., Wall, M., Allen, M.S., Kuether, R.J. (2020). Spider Configurations for Models with Discrete Iwan Elements. In: Kerschen, G., Brake, M., Renson, L. (eds) Nonlinear Structures and Systems, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-12391-8_4
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