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分数阶导数型粘弹性结构动力学方程的数值算法(PDF)

《南京林业大学学报(自然科学版)》[ISSN:1000-2006/CN:32-1161/S]

Issue:
2010年02期
Page:
115-118
Column:
研究论文
publishdate:
2010-03-30

Article Info:/Info

Title:
A numerical algorithm for the dynamics equation of the fractional derivative viscoelasticity structure
Author(s):
YIN Hua1 CHEN Ning2* ZHAO Chen1 WANG Daming1
1.College of Civil Engineering, Nanjing Forestry University, Nanjing 210037, China; 2.College of Electronic and Mechanical Engineering, Nanjing Forestry University, Nanjing 210037, China
Keywords:
fractional derivative viscoelasticity dynamic equation of state precise integral method
Classification number :
O322
DOI:
10.3969/j.jssn.1000-2006.2010.02.027
Document Code:
A
Abstract:
According to the precise integral method, a new numerical algorithm is proposed for dynamical responses of viscoelasticity structure with the fractional derivative constitutive relation. In this approach, the fractional differential equation for the dynamic of a system is transformed into a set of first order ordinary differential equations which contain fractional derivative terms. The precise integral method is used to integrate these terms and obtain the response of the system. Numerical results obtained using this scheme agree well with those obtained using an analytical method and an numerical scheme proposed by ZhangShimizu. Results also show that the solution converges as the step length is decreased.

References

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Last Update: 2010-05-14