Residual vibration suppression of cantilever beam using command shaping techniques

Kuo Shen Chen, Tian Shiang Yang, Jui Feng Yin, Kun Shuan Ou

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Input shaping is an effective method for suppressing the vibration of structures where passive damping cannot be incorporated. Input shaping is used to modify the command signal of a continuous structure to minimize the settling time. The governing equation of the cantilever beam is derived and the mathematical expressions of characterizing the performances of existing discrete type zero-vibration (ZV) and zero-vibration-and-derivative (ZVD) shapers can be derived from this continuous formulation. A system, incorporating a steel beam, a piezoelectric actuator, a capacitive displacement sensor and a computer for shaping command generation, serves as the experimental platform for examining the effectiveness of both shapers. In parallel, a finite element dynamics model is also constructed to simulate the behavior of the beam subjected to the shaped input. The experimental and computer simulation results agree with each other to a great extent, and indicate that when properly designed, both ZV and ZVD shaper could effectively reduce the residual vibration of flexural structures. Meanwhile, the effect of sinusoidal excitation is also studied and the resonance can also be effectively suppressed by utilizing input shaping method.

Original languageEnglish
Pages (from-to)249-257
Number of pages9
JournalZhongguo Hangkong Taikong Xuehui Huikan/Transactions of the Aeronautical and Astronautical Society of the Republic of China
Issue number3
Publication statusPublished - 2004 Sept

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering


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