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Unusual Overshooting in Steady-state Response for Structure-dependent Integration Methods
It is numerically illustrated that an unusual overshooting phenomenon might occur in the solution of a forced vibration response if a structure-dependent integration method is applied to conduct the analysis, such as Chang explicit method [2002] and CR explicit method [2008]. This overshooting may occur in the steady-state response of a high frequency mode and it becomes significant as the natural frequency of the mode increases. This unusual overshooting behavior can be successfully detected by using a local truncation error derived from a forced vibration response rather than a free vibration response. A missing loading term in the difference equation for displacement increment is responsible for this unusual overshoot. It is analytically and numerically verified that the unusual overshooting behavior will automatically disappear after introducing the missing loading term into the difference equation for displacement increment.
Unusual Overshooting in Steady-state Response for Structure-dependent Integration Methods
It is numerically illustrated that an unusual overshooting phenomenon might occur in the solution of a forced vibration response if a structure-dependent integration method is applied to conduct the analysis, such as Chang explicit method [2002] and CR explicit method [2008]. This overshooting may occur in the steady-state response of a high frequency mode and it becomes significant as the natural frequency of the mode increases. This unusual overshooting behavior can be successfully detected by using a local truncation error derived from a forced vibration response rather than a free vibration response. A missing loading term in the difference equation for displacement increment is responsible for this unusual overshoot. It is analytically and numerically verified that the unusual overshooting behavior will automatically disappear after introducing the missing loading term into the difference equation for displacement increment.
Unusual Overshooting in Steady-state Response for Structure-dependent Integration Methods
Chang, Shuenn-Yih (author)
2017
Article (Journal)
English
Numerical methods , Mathematical models , Vibration , Displacement , Error detection , Steady state , High frequency , Dynamic Analysis , Overshooting , Frequency , Steady-state Response , Forced vibration , Forced Vibration Response , Seismic engineering , Free vibration , Structural engineering , Structure-dependent Integration Method , Methodology , Integration , Resonant frequency
Unusual Overshooting in Steady-state Response for Structure-dependent Integration Methods
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