Natural Boundary Integral Method for Irregular Plate Problems

Liang Liang Du; Xiong Hua Wu

doi:10.4028/www.scientific.net/AMM.138-139.693

Paper Titles

The Liquefaction Risk Analysis of Fine Sand Filling Subgrade
p.668

Spline-Based Finite Element Analysis in Composite Laminates Mechanical Properties
p.673

Design and System Level Simulation of Double-Mass Silicon Micro Gyroscope
p.681

Research on Dynamic Characteristics of Gear in Ultrasonic Gear Honing
p.687

Natural Boundary Integral Method for Irregular Plate Problems
p.693

Fourier Cosine Differential Quadrature Method for Beam and Plate Problems
p.699

Green Quasifunction Method for Bending Problem of Clamped Orthotropic Trapezoidal Thin Plates on Winkler Foundation
p.705

Studies on Dynamic Mechanical Properties of Glass Fiber Reinforced Silica Aerogel
p.709

Study on Quick Changing Device of Power Battery of Electric Vehicle
p.718

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 138-139Natural Boundary Integral Method for Irregular...

Natural Boundary Integral Method for Irregular Plate Problems

Abstract:

Natural boundary integral method is applied to deal with plate problems defined in irregular domains. We divide the solution into two parts, a particular solution for inhomogeneous biharmonic equation and the general solution for homogeneous biharmonic equation. For the former, the direct expansion method of boundary conditions is used to treat the arbitrary domains, and the processes of natural boundary integral method coupling with finite element method are omitted. Numerical experiments show that the method is very simple and of high accuracy.

You might also be interested in these eBooks

Applied Mechanics and Mechanical Engineering II

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 138-139)

Pages:

693-698

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.138-139.693

Citation:

Cite this paper

Online since:

November 2011

Authors:

Liang Liang Du, Xiong Hua Wu

Keywords:

Direct Expansion Method, Irregular Domain, Natural Boundary Integral Method

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] D. Yu, Natural Boundary Integral Method and Its Applications, Science Press , Beijing , (2002).

Google Scholar

[2] Brebbia, C. A. ed., Boundary Element Method in Engineering, Springer-Verlag, Berlin, (1981).

Google Scholar

[3] Du Qing-hua, Yao Zhen-han, Some basic problems and engineering applications of BIE-BEM in elasticity, Acta Mechanica Solida Sinica, (1982), 1-22.

Google Scholar

[4] D. Yu, Coupling canonical boundary element method with FEM to solve harmonic problem over cracked domain, J. Comp. Math., 1: 3(1983), 195-202.

Google Scholar

[5] Feng Kang, Finite element method and natural boundary reduction, Proceedings of the International Congress of Mathematicians, Warszawa (1983), 1439-1453.

Google Scholar

[6] Hsiao, G. C., The coupling of BEM and FEM-a brief review, Boundary Elements X, 1 (1988), 431-446.

Google Scholar

[7] D. Yu, Numerical solution of harmonic and biharmonic canonical integral equations in interior or exterior circular domains, J. Comp. Math., 1 (1983), 52-62.

Google Scholar

[8] Xia Yongxu, Weighted residual methods for mechanics in plates and shells, Xi'an: Northwestern Polytechnical University Press, (1994).

Google Scholar

[9] A. H. D. Cheng, O. Lafe, and S. Grilli, Dual reciprocity BEM based on global interpolation functions, Eng. Anal. Boundary Elements 13 (1994), 303-311.

DOI: 10.1016/0955-7997(94)90024-8

Google Scholar