4.4 Article

Time domain analysis of the weighted distributed order rheological model

期刊

MECHANICS OF TIME-DEPENDENT MATERIALS
卷 20, 期 4, 页码 601-619

出版社

SPRINGER
DOI: 10.1007/s11043-016-9314-z

关键词

Weighted distributed; Rheological model; Fractional calculus; Time domain

资金

  1. National Basic Research Program of China [2015CB251601, 2013CB227900]
  2. National Natural Science Foundation [51322401, 51421003, U1261201]
  3. Fundamental Research Funds for the Central Universities [2014YC09, 2014ZDPY08]
  4. 111 Project [B07028]

向作者/读者索取更多资源

This paper presents the fundamental solution and relevant properties of the weighted distributed order rheological model in the time domain. Based on the construction of distributed order damper and the idea of distributed order element networks, this paper studies the weighted distributed order operator of the rheological model, a generalization of distributed order linear rheological model. The inverse Laplace transform on weighted distributed order operators of rheological model has been obtained by cutting the complex plane and computing the complex path integral along the Hankel path, which leads to the asymptotic property and boundary discussions. The relaxation response to weighted distributed order rheological model is analyzed, and it is closely related to many physical phenomena. A number of novel characteristics of weighted distributed order rheological model, such as power-law decay and intermediate phenomenon, have been discovered as well. And meanwhile several illustrated examples play important role in validating these results.

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