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Author:

Zhang, Xue-Sheng (Zhang, Xue-Sheng.) | Sui, Yun-Kang (Sui, Yun-Kang.) | Long, Lian-Chun (Long, Lian-Chun.) (Scholars:龙连春) | Ye, Hong-Ling (Ye, Hong-Ling.) (Scholars:叶红玲)

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Abstract:

To build a stiffness filter function, the homogenization method is adopted to compute the cellular equivalent stiffness for square hole of various size. According to the discrete values obtained, the normalized least square method is applied to fitting the equivalent stiffness coefficients. With these coefficients, the least square method is used once again to fit the power exponent of the filter function for the ICM (independent, continuous, mapping) method. The obtained filter function reflects correctly how the equivalent stiffness varies with the size of square hole. Moreover, the obtained power exponent agrees with the published empirical value.

Keyword:

Optimization Stiffness matrix Mapping Least squares approximations Functions Topology

Author Community:

  • [ 1 ] [Zhang, Xue-Sheng]College of Mechanical Engineering and Applied Electronic Technology, Beijing University of Technology, Beijing 100022, China
  • [ 2 ] [Sui, Yun-Kang]College of Mechanical Engineering and Applied Electronic Technology, Beijing University of Technology, Beijing 100022, China
  • [ 3 ] [Long, Lian-Chun]College of Mechanical Engineering and Applied Electronic Technology, Beijing University of Technology, Beijing 100022, China
  • [ 4 ] [Ye, Hong-Ling]College of Mechanical Engineering and Applied Electronic Technology, Beijing University of Technology, Beijing 100022, China

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Source :

Journal of Beijing University of Technology

ISSN: 0254-0037

Year: 2006

Issue: 1

Volume: 32

Page: 6-10

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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