Abstract
By using the anisotropic elastostatic fundamental solutions and employing the dual reciprocity method, a special boundary element method (BEM) was developed in this paper to perform elastodynamic analysis of anisotropic elastic plates containing holes, cracks or interfaces. The system of ordinary differential equations obtained for the vibration transient analysis was solved using the Houlbolt's algorithm and modal superposition method. These equations were reduced to the standard eigenproblem for free vibration, and a purely algebraic system of equations for steady-state forced vibration. Since the fundamental solutions used in the present BEM satisfy the boundary conditions set on the holes, cracks, or interfaces, no meshes are needed along these boundaries. With this special feature, the numerical examples presented in this paper show that to get an accurate result much fewer elements were used in the present BEM comparing with those in the traditional BEM or finite element method.
| Original language | English |
|---|---|
| Pages (from-to) | 22-35 |
| Number of pages | 14 |
| Journal | Engineering Analysis with Boundary Elements |
| Volume | 40 |
| DOIs | |
| Publication status | Published - 2014 Mar 1 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Engineering(all)
- Computational Mathematics
- Applied Mathematics
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Boundary element method for vibration analysis of two-dimensional anisotropic elastic solids containing holes, cracks or interfaces. / Chen, Y. C.; Hwu, Chyanbin.
In: Engineering Analysis with Boundary Elements, Vol. 40, 01.03.2014, p. 22-35.Research output: Contribution to journal › Article
TY - JOUR
T1 - Boundary element method for vibration analysis of two-dimensional anisotropic elastic solids containing holes, cracks or interfaces
AU - Chen, Y. C.
AU - Hwu, Chyanbin
PY - 2014/3/1
Y1 - 2014/3/1
N2 - By using the anisotropic elastostatic fundamental solutions and employing the dual reciprocity method, a special boundary element method (BEM) was developed in this paper to perform elastodynamic analysis of anisotropic elastic plates containing holes, cracks or interfaces. The system of ordinary differential equations obtained for the vibration transient analysis was solved using the Houlbolt's algorithm and modal superposition method. These equations were reduced to the standard eigenproblem for free vibration, and a purely algebraic system of equations for steady-state forced vibration. Since the fundamental solutions used in the present BEM satisfy the boundary conditions set on the holes, cracks, or interfaces, no meshes are needed along these boundaries. With this special feature, the numerical examples presented in this paper show that to get an accurate result much fewer elements were used in the present BEM comparing with those in the traditional BEM or finite element method.
AB - By using the anisotropic elastostatic fundamental solutions and employing the dual reciprocity method, a special boundary element method (BEM) was developed in this paper to perform elastodynamic analysis of anisotropic elastic plates containing holes, cracks or interfaces. The system of ordinary differential equations obtained for the vibration transient analysis was solved using the Houlbolt's algorithm and modal superposition method. These equations were reduced to the standard eigenproblem for free vibration, and a purely algebraic system of equations for steady-state forced vibration. Since the fundamental solutions used in the present BEM satisfy the boundary conditions set on the holes, cracks, or interfaces, no meshes are needed along these boundaries. With this special feature, the numerical examples presented in this paper show that to get an accurate result much fewer elements were used in the present BEM comparing with those in the traditional BEM or finite element method.
UR - http://www.scopus.com/inward/record.url?scp=84890521015&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84890521015&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2013.11.013
DO - 10.1016/j.enganabound.2013.11.013
M3 - Article
AN - SCOPUS:84890521015
VL - 40
SP - 22
EP - 35
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
SN - 0955-7997
ER -