Paper Title:
A New Method of Numerical Differential and Time Domain Integral Based on the Analysis of Vibration Response
  Abstract

A new method of numerical differentiation and time domain integral was proposed in this paper, its idea was originated from the analysis of the time domain vibration response. As to numerical differentiation, the discrete sequence could be considered as the displacement response of an one degree-of-freedom system, and the velocity and acceleration response corresponding to the first and second order numerical differentiation. As to time domain integral, the discrete sequence could be considered as the acceleration response of an one degree-of-freedom system, and the velocity and displacement response corresponding to the first and second order time domain integral. All these work were established based on the discretization analysis of Duhamel integral. Numerical simulation result indicates the effective and better accuracy of this new method.

  Info
Periodical
Advanced Materials Research (Volumes 291-294)
Chapter
Theory and Application of Friction and Wear
Edited by
Yungang Li, Pengcheng Wang, Liqun Ai, Xiaoming Sang and Jinglong Bu
Pages
1462-1468
DOI
10.4028/www.scientific.net/AMR.291-294.1462
Citation
J. Hu, X. N. Zhang, "A New Method of Numerical Differential and Time Domain Integral Based on the Analysis of Vibration Response", Advanced Materials Research, Vols. 291-294, pp. 1462-1468, 2011
Online since
July 2011
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Price
$32.00
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