Development of a new random decrement function
Received:April 23, 2007  
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DOI:10.7511/jslx20092019
KeyWord:random decrement function  free response signature  stochastic excitation forces  Brown motion
              
AuthorInstitution
聂雪媛 中国科学院 力学研究所,北京
郭杏林 大连理工大学,大连
刘彬 中国科学院 力学研究所,北京
时忠民 中国海洋石油总公司 研究中心,北京
丁桦 中国科学院 力学研究所,北京
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Abstract:
      The random decrement (RD) signature of a system random response can represent the free decay vibration response of the system when the excitation force is a stationary stochastic process with zero mean. This traditional RD function cannot always possess the above characteristics for arbitrary random inputs. In order to extend RD technique to wider application area, motivated by the analysis of Brown motion, the construction of a new RD function was proposed. The traditional RD signatures and the new RD ones resulted from the same triggering condition were compared in three examples in which the response signals were obtained numerically and experimentally. The results indicate that the new RD signatures and the old ones can represent the free vibration response of the system while inputs are zero-mean stochastic process, and the former shows the better modality and stability than the latter while the other excitation forces are induced.