EMPIRICAL STIFFNESS MATRIX DERIVATION FOR AN ELASTIC SUBSTRUCTURE

Authors

  • Abdul Hafiez Yusoff Aerospace Engineering Department, Faculty of Engineering, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan. Malaysia
  • Rizal Zahari Aerospace Manufacturing Research Centre, Faculty of Engineering, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan. Malaysia
  • Faizal Mustapha Aerospace Engineering Department, Faculty of Engineering, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan. Malaysia

Keywords:

Stiffness Matrix, Finite Element Analysis, Direct Stiffness Method, GENEL

Abstract

The paper presents the study on the three-dimensional empirical derivations of the static stiffness matrix derivation of a sheet metal substructure based on the basic principles of the finite element method. An experimental procedure and techniques are developed to extract the stiffness coefficients of a 6 by 6 submatrix for a sheet tube made of mild steel ASTM A-500 SHS. The submatrix obtained from this experiment is then included in the finite element software NASTRAN as a new element. Comparison of results between the experimental and the finite element analysis is carried out via a test case to validate the method employed. Excellent agreement with the experimental results has been observed which confirms the accuracy of the approached employed

References

Hoa, S.V. and S. Sankar, 1980. A computer program for automatic generation of stiffness and mass matrices in finite-element analysis, Computers & Structures, Pergamon Press, Great Britain, Volume 11, No 3, pp. 147-161.

Palaninathan, R. and P.S. Chandrasekharan, 1985. Curved Beam Element Stiffness Matrix Formulation, Computers & Structures, Pergamon Press, Great Britain, Volume 2, No.4, pp. 663-669.

Chen, J.-T., K.-S. Chou, and C.-C. Hseih, 2007. Derivation of Stiffness and Flexibility for Rods and Beams by Using Dual Integral Equation, Engineering Analysis with Boundary Elements, Elsevier, UK, Volume 32, pp. 108-121.

Felippa, C.A. and K.C. Park, 2001. The Construction of Free-free Flexibility Matrices For Multilevel Structural Analysis, Computer Methods in Applied Mechanics and Engineering, Elsevier, UK, Volume 191, pp. 2111-2140.

Holland, I., 1974. Fundamentals of The Finite Element Method, Computers and Structures, Pergamon Press, Great Britain. Volume 4, pp. 3-15.

Livesely, R.K., 1964, Matrix Method of Structural Analysis, Pergamon Press, Great Britain.

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Published

2018-04-02

How to Cite

Yusoff, A. H., Zahari, R., & Mustapha, F. (2018). EMPIRICAL STIFFNESS MATRIX DERIVATION FOR AN ELASTIC SUBSTRUCTURE. Jurnal Mekanikal, 35(2). Retrieved from https://jurnalmekanikal.utm.my/index.php/jurnalmekanikal/article/view/67

Issue

Issue 35: December 2012

Section

Mechanical

License

Copyright of articles that appear in Jurnal Mekanikal belongs exclusively to Penerbit Universiti Teknologi Malaysia (Penerbit UTM Press). This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

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