| Title |
Free Vibrations of Horseshoe Symmetric Elliptic Arch: Using Boundary Conditions of Stress Resultants at Mid-Arc Revisited |
| Authors |
이병구(Lee, Byoung Koo) ; 이태은(Lee, Tae Eun) ; 김권식(Kim, Gweon Sik) ; 오상진(Oh, Sang Jin) |
| DOI |
https://doi.org/10.12652/Ksce.2021.41.3.0191 |
| Keywords |
자유진동; 마제형 타원 아치; 합응력; 고유진동수; 진동형 Free vibration; Horseshoe elliptic arch; Stress resultants; Natural frequency; Mode shape |
| Abstract |
This paper deals with the boundary conditions of the stress resultants at the mid-arc for free vibration analyses of the arch. The considered arch is a horseshoe symmetric elliptic arch. The work dealing with the boundary conditions of the deflection at both ends of the arch has already been reported in the open literature. This revisited paper aims to study the suitability of the boundary conditions of the stress
resultants at the mid-arc to be replaced by the boundary condition at both ends. In this study, the boundary conditions of the stress resultants at the mid-arc are newly derived based on the theory of the previous work, and natural frequencies and mode shapes are
obtained using the new boundary conditions of the stress resultants. The numerical results of this paper confirm that the new boundary conditions have been validated according to previous studies and results of finite element ADINA |