Extensive research has been devoted to engineering analysis in the presence of only parameter uncertainty. However, in modeling process, model-form uncertainty arises inevitably due to the lack of information and knowledge, as well as assumptions and simplifications made in the models. It is undoubted that model-form uncertainty cannot be ignored. To better quantify model-form uncertainty in vibration systems with multiple degrees-of-freedom, in this paper, fractional derivatives as model-form hyperparameters are introduced. A new general model calibration approach is proposed to separate and reduce model-form and parameter uncertainty based on multiple fractional frequency response functions (FFRFs). The new calibration method is verified through a simulated system with two degrees-of-freedom. The studies demonstrate that the new model-form and parameter uncertainty quantification method is robust.
Model-Form and Parameter Uncertainty Quantification in Structural Vibration Simulation Using Fractional Derivatives
Xiamen 361005, China;
Georgia Institute of Technology,
Atlanta, GA 30332
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 22, 2018; final manuscript received January 17, 2019; published online March 14, 2019. Assoc. Editor: Paramsothy Jayakumar.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Zhang, B., Guo, Q., Wang, Y., and Zhan, M. (March 14, 2019). "Model-Form and Parameter Uncertainty Quantification in Structural Vibration Simulation Using Fractional Derivatives." ASME. J. Comput. Nonlinear Dynam. May 2019; 14(5): 051006. https://doi.org/10.1115/1.4042689
Download citation file:
- Ris (Zotero)
- Reference Manager