| Title |
Free Vibrations of Elastica Shaped Arches with Linear Taper |
| Keywords |
Elastica shaped arch;Bernoulli-Euler beam theory;linear taper;free vibration;natural frequency;정확탄성곡선형 아치;Bernoulli-Euler 보 이론;선형 변단면;자유진동;고유진동수 |
| Abstract |
This study deals with the free vibrations of the elastica shaped arch with linear taper. The shape of elastica is obtained from the Bernoulli-Euler beam theory. Differential equations governing free vibrations of such arch are derived and numerically solved to determine natural frequencies, in which three kinds of taper type and two kinds of end constraint, respectively, are considered. For validating the theories presented herein, the frequency parameters obtained ill this study are compared to those of SAP 2000. As results of the numerical analyses, effects of end constraint, taper type, slenderness ratio and section ratio and the lowest four non-dimensional frequency parameters are extensively investigated. |