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作者:

Shen, Lin (Shen, Lin.) | Wang, Shu (Wang, Shu.) (学者:王术) | Wang, Yongxin (Wang, Yongxin.)

收录:

SCIE

摘要:

In this paper, a rotating blades equation is considered. The arbitrary pre-twisted angle, arbitrary pre-setting angle and arbitrary rotating speed are taken into account when establishing the rotating blades model. The nonlinear PDEs of motion and two types of boundary conditions are derived by the extended Hamilton principle and the first-order piston theory. The well-posedness of weak solution (global in time) for the rotating blades equation with Clamped-Clamped (C-C) boundary conditions can be proved by compactness method and energy method. Strong energy estimates are derived under additional assumptions on the initial data. In addition, the existence and regularity of weak solutions (global in time) for the rotating blades equation with Clamped-Free (C-F) boundary conditions are proved as well.

关键词:

regularity Rotating blades weak solution well-posedness

作者机构:

  • [ 1 ] [Shen, Lin]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Wang, Yongxin]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

通讯作者信息:

  • 王术

    [Wang, Shu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

ELECTRONIC RESEARCH ARCHIVE

年份: 2020

期: 2

卷: 28

页码: 691-719

0 . 8 0 0

JCR@2022

JCR分区:1

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 2

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

近30日浏览量: 2

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