Abstract
We developed a computational method for effectively conducting the free vibration analysis of axisymmetric shells with various shapes. This paper describes a computational algorithm for the free vibration analysis of axisymmetric shells using the Sylvester-transfer stiffness coefficient method (S-TSCM). From the free vibration analyses of three axisymmetric shells (joined conical-cylindrical shell, hermetic capsule and built-up shell), we verified the applicability of the S-TSCM. We then confirmed that the computational power of the S-TSCM is much better than both the finite element-transfer matrix method and finite element-transfer stiffness coefficient method, in terms of computational accuracy and time. In particular, when axisymmetric shells are modeled into a large number of conical shell elements, the S-TSCM is superior to both the bisection method using Sturm sequence property and Jacobi method, in terms of computational time and storage.
| Original language | English |
|---|---|
| Pages (from-to) | 2755-2766 |
| Number of pages | 12 |
| Journal | Journal of Mechanical Science and Technology |
| Volume | 29 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Jul 23 2015 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Mechanics of Materials
- Mechanical Engineering
Cite this
Free vibration analysis of axisymmetric shells with various shapes using Sylvester-transfer stiffness coefficient method. / Choi, Myung Soo; Kondou, Takahiro; Choi, Hee Jong.
In: Journal of Mechanical Science and Technology, Vol. 29, No. 7, 23.07.2015, p. 2755-2766.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Free vibration analysis of axisymmetric shells with various shapes using Sylvester-transfer stiffness coefficient method
AU - Choi, Myung Soo
AU - Kondou, Takahiro
AU - Choi, Hee Jong
PY - 2015/7/23
Y1 - 2015/7/23
N2 - We developed a computational method for effectively conducting the free vibration analysis of axisymmetric shells with various shapes. This paper describes a computational algorithm for the free vibration analysis of axisymmetric shells using the Sylvester-transfer stiffness coefficient method (S-TSCM). From the free vibration analyses of three axisymmetric shells (joined conical-cylindrical shell, hermetic capsule and built-up shell), we verified the applicability of the S-TSCM. We then confirmed that the computational power of the S-TSCM is much better than both the finite element-transfer matrix method and finite element-transfer stiffness coefficient method, in terms of computational accuracy and time. In particular, when axisymmetric shells are modeled into a large number of conical shell elements, the S-TSCM is superior to both the bisection method using Sturm sequence property and Jacobi method, in terms of computational time and storage.
AB - We developed a computational method for effectively conducting the free vibration analysis of axisymmetric shells with various shapes. This paper describes a computational algorithm for the free vibration analysis of axisymmetric shells using the Sylvester-transfer stiffness coefficient method (S-TSCM). From the free vibration analyses of three axisymmetric shells (joined conical-cylindrical shell, hermetic capsule and built-up shell), we verified the applicability of the S-TSCM. We then confirmed that the computational power of the S-TSCM is much better than both the finite element-transfer matrix method and finite element-transfer stiffness coefficient method, in terms of computational accuracy and time. In particular, when axisymmetric shells are modeled into a large number of conical shell elements, the S-TSCM is superior to both the bisection method using Sturm sequence property and Jacobi method, in terms of computational time and storage.
UR - http://www.scopus.com/inward/record.url?scp=84937510780&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84937510780&partnerID=8YFLogxK
U2 - 10.1007/s12206-015-0604-1
DO - 10.1007/s12206-015-0604-1
M3 - Article
AN - SCOPUS:84937510780
VL - 29
SP - 2755
EP - 2766
JO - Journal of Mechanical Science and Technology
JF - Journal of Mechanical Science and Technology
SN - 1738-494X
IS - 7
ER -