Abstract
New equations of motion governing dynamic behavior of thin-walled curved beams were investigated based on the study of Kang and Yoo [Thin-walled curved beams, I: formulation of nonlinear equations, J. Eng. Mech., ASCE 120 (10) (1994) 2072-2101; Thin-walled curved beams, II: analytical solutions for buckling of arches, J. Eng. Mech., ASCE 120 (10) (1994) 2102-2125]. Explicit numerical expressions were derived to predict the complex dynamic behavior of the thin-walled curve beams. Stiffness and mass matrix of the curved beam element for finite element analyses were formulated to allow explicit evaluation of the dynamic behavior. The formulations were conducted using not only typical six degree of freedom but also additional warping degree of freedom at each node. This paper proved the validity and the convergence of the presented formulation using the curved beam element. The paper included comparisons of the natural frequencies of the thin-walled curved beams from the finite element formulations with those from other researchers' study. The presented formulation and the new equations are sufficiently accurate for use in study and evaluation of curved architectural structures and bridges.
| Original language | English |
|---|---|
| Pages (from-to) | 1176-1186 |
| Number of pages | 11 |
| Journal | Finite Elements in Analysis and Design |
| Volume | 42 |
| Issue number | 13 |
| DOIs | |
| Publication status | Published - 2006 Sep 1 |
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Keywords
- Equation of motion
- Free vibration
- Mass matrix
- Natural frequency
- Seven degree of freedom of curved beam element
- Variational method
ASJC Scopus subject areas
- Computer Science Applications
- Computational Mechanics
Cite this
Natural frequencies of thin-walled curved beams. / Yoon, Ki Young; Park, Nam Hoi; Choi, Young Joon; Kang, Young Jong.
In: Finite Elements in Analysis and Design, Vol. 42, No. 13, 01.09.2006, p. 1176-1186.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Natural frequencies of thin-walled curved beams
AU - Yoon, Ki Young
AU - Park, Nam Hoi
AU - Choi, Young Joon
AU - Kang, Young Jong
PY - 2006/9/1
Y1 - 2006/9/1
N2 - New equations of motion governing dynamic behavior of thin-walled curved beams were investigated based on the study of Kang and Yoo [Thin-walled curved beams, I: formulation of nonlinear equations, J. Eng. Mech., ASCE 120 (10) (1994) 2072-2101; Thin-walled curved beams, II: analytical solutions for buckling of arches, J. Eng. Mech., ASCE 120 (10) (1994) 2102-2125]. Explicit numerical expressions were derived to predict the complex dynamic behavior of the thin-walled curve beams. Stiffness and mass matrix of the curved beam element for finite element analyses were formulated to allow explicit evaluation of the dynamic behavior. The formulations were conducted using not only typical six degree of freedom but also additional warping degree of freedom at each node. This paper proved the validity and the convergence of the presented formulation using the curved beam element. The paper included comparisons of the natural frequencies of the thin-walled curved beams from the finite element formulations with those from other researchers' study. The presented formulation and the new equations are sufficiently accurate for use in study and evaluation of curved architectural structures and bridges.
AB - New equations of motion governing dynamic behavior of thin-walled curved beams were investigated based on the study of Kang and Yoo [Thin-walled curved beams, I: formulation of nonlinear equations, J. Eng. Mech., ASCE 120 (10) (1994) 2072-2101; Thin-walled curved beams, II: analytical solutions for buckling of arches, J. Eng. Mech., ASCE 120 (10) (1994) 2102-2125]. Explicit numerical expressions were derived to predict the complex dynamic behavior of the thin-walled curve beams. Stiffness and mass matrix of the curved beam element for finite element analyses were formulated to allow explicit evaluation of the dynamic behavior. The formulations were conducted using not only typical six degree of freedom but also additional warping degree of freedom at each node. This paper proved the validity and the convergence of the presented formulation using the curved beam element. The paper included comparisons of the natural frequencies of the thin-walled curved beams from the finite element formulations with those from other researchers' study. The presented formulation and the new equations are sufficiently accurate for use in study and evaluation of curved architectural structures and bridges.
KW - Equation of motion
KW - Free vibration
KW - Mass matrix
KW - Natural frequency
KW - Seven degree of freedom of curved beam element
KW - Variational method
UR - http://www.scopus.com/inward/record.url?scp=33746447822&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33746447822&partnerID=8YFLogxK
U2 - 10.1016/j.finel.2006.05.002
DO - 10.1016/j.finel.2006.05.002
M3 - Article
AN - SCOPUS:33746447822
VL - 42
SP - 1176
EP - 1186
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
SN - 0168-874X
IS - 13
ER -