A structure-dependent integration method may experience an unusual overshooting behavior in the steady-state response of a high frequency mode. In order to explore this unusual overshooting behavior, a local truncation error is established from a forced vibration response rather than a free vibration response. As a result, this local truncation error can reveal the root cause of the inaccurate integration of the steady-state response of a high frequency mode. In addition, it generates a loading correction scheme to overcome this unusual overshooting behavior by means of the adjustment the difference equation for displacement. Apparently, these analytical results are applicable to a general structure-dependent integration method.
A Loading Correction Scheme for a Structure-Dependent Integration Method
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 13, 2015; final manuscript received June 12, 2016; published online September 1, 2016. Assoc. Editor: Dan Negrut.
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Chang, S. (September 1, 2016). "A Loading Correction Scheme for a Structure-Dependent Integration Method." ASME. J. Comput. Nonlinear Dynam. January 2017; 12(1): 011005. https://doi.org/10.1115/1.4034046
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