A Partition of Unity Triangle Finite Element and Its Application to Vibration Analysis
[1]JIA Cheng,CHEN Huihui.A Partition of Unity Triangle Finite Element and Its Application to Vibration Analysis[J].Journal of Zhengzhou University (Engineering Science),2012,33(06):125-128.[doi:10.3969/j.issn.1671-6833.2012.06.030]
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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
33
Number of periods:
2012 06
Page number:
125-128
Column:
Public date:
2012-11-10
- Title:
- A Partition of Unity Triangle Finite Element and Its Application to Vibration Analysis
- Keywords:
- partition of unity ; local approximation ; free vibration ; forced vibration
- CLC:
- 0343.1
- DOI:
- 10.3969/j.issn.1671-6833.2012.06.030
- Abstract:
- A new triangle element, combining meshfree and finite element methods, is developed based on par.tition of unity , using the polynomial basis functions for the local approximation and the shape functions of classi.cal linear triangle element for partition of unity funetions, This triangle element synthesizes the strengths of themeshfree and finite element methods, whose shape function can be understood as composite function of the twomethods and has Kronecker delta property so as to implement displacement conditions directly like finite elementmethods. The element is applied to free vibration and forced vibration analysis of two-dimensional solids. Nu.merical results show that the present triangle element does not have spurious zero-energy modes and its resultsare more accurate than that of classical linear triangle element and classical isoparametric quadrilateral element.
- References:
- -
- Similar References:
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Last Update:
1900-01-01