An Improved Finite Element Approximation and Superconvergence for Temperature Control Problems

Tang, Yuelong

doi:10.3846/13926292.2013.868840

Search citation statements

Order By: Relevance

Paper Sections

Select...

Table 1 Relationship Between the Unit And The Corresponding Node1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2018

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(2 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similarly, for Unit (3), sinα=-0.6, cosα=0.8, the local stiffness matrix K (3) was calculated by Eq. 2, as following:…”

Section: Table 1 Relationship Between the Unit And The Corresponding Nodementioning

confidence: 99%

See 1 more Smart Citation

Finite Element Analysis of Deformation and Stress Situation of Triangular Truss Under Different Loads

Zeng

Cong

Liu³

2018

MATEC Web Conf.

View full text Add to dashboard Cite

In this paper, the two methods for solving finite element problem, theoretical calculation method and ANSYS simulation analysis method, were used to study deformation and stress situation of each node of triangular truss under different distribution loads. The results of theoretical calculation were compared with those of ANSYS simulation, which showed that the counter-acting forces of each node were exactly the same. For the calculation results of the equivalent stiffness constants of each unit could not be accurate, values of each node deformation calculated by theoretical calculation could be error, but the maximum error rate was no more than 3.6%. By the comparison results, conclusion could be made that the results of ANSYS simulation are more intuitive and image, the values are more accurate and reliable, comparing with those of theoretical calculation, the influence of accuracy of equivalent stiffness constant is much more smaller.

show abstract

“…Similarly, for Unit (3), sinα=-0.6, cosα=0.8, the local stiffness matrix K (3) was calculated by Eq. 2, as following:…”

Section: Table 1 Relationship Between the Unit And The Corresponding Nodementioning

confidence: 99%

“…In 1967, Zienkiewicz and Cheung published the first monograph on FEM (Zienkiewicz, 1967). FEM is an effective analysis method for solving problems that could not be solved by analytic method in the past, also it can solve complicated problems whose boundary conditions and structure shape are both irregular (Esen, 2013, Tang, 2013.…”

Section: Introductionmentioning

confidence: 99%