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Research Papers

A Loading Correction Scheme for a Structure-Dependent Integration Method

[+] Author and Article Information
Shuenn-Yih Chang

Professor Department of Civil Engineering,
National Taipei University of Technology,
NTUT Box 2653, No. 1,
Section 3, Jungshiau East Road,
Taipei 106-08, Taiwan, China
e-mail: changsy@ntut.edu.tw

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.

J. Comput. Nonlinear Dynam 12(1), 011005 (Sep 01, 2016) (7 pages) Paper No: CND-15-1369; doi: 10.1115/1.4034046 History: Received November 13, 2015; Revised June 12, 2016

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.

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References

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Figures

Grahic Jump Location
Fig. 1

Displacement responses for a 2DOF system with a high frequency mode using CEM

Grahic Jump Location
Fig. 2

Displacement responses for a 2DOF system without a high frequency mode using CEM

Grahic Jump Location
Fig. 3

Displacement responses for a 2DOF system with a high frequency mode using MCEM

Grahic Jump Location
Fig. 4

Displacement responses for a 2DOF system with a high frequency mode using ICEM

Grahic Jump Location
Fig. 5

Displacement responses for a 2DOF system with a high frequency mode using MICEM

Grahic Jump Location
Fig. 6

A 100DOF spring-mass system

Grahic Jump Location
Fig. 7

Displacement responses to a 100DOF spring-mass system

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