다분할 테일러급수 해법을 이용한 비대칭 모드를 갖는 아치구조물의 비선형 동적 응답 (Nonlinear Dynamic Response of Arch Structures with Asymmetric Mode using Multi-interval Taylor Series Method)

서지정보

· 발행기관 : 대한건축학회
· 수록지 정보 : 대한건축학회논문집 구조계 / 28권 / 11호 / 39 ~ 46페이지
· 저자명 : 손수덕, 하준홍, 이승재

초록

This study aims at obtaining an analytical solution of nonlinear dynamic system by using multi-interval Taylor series method, and adopting a arch model to its application. For this purpose, the nonlinear governing equations of the arch are formulated and the examples of symmetric and asymmetric modes are dealt with to obtain the analytical solution within each interval. The results of dynamic analysis using this method is also conducted to evaluate the computed solution for the behavior of the arches subjected to step excitations. As the results, the polynomial series solutions with respect to time are able to be obtained from this method. In this paper, the dynamic snapping of the shallow arches is observed very well from the result of the symmetric mode example, and a change of attractor in phase space is investigated as well. A significant growth of displacement response and the appearance of strange attractor are also manifested in the asymmetric mode model under step excitation. These results from the response and the attractor investigation through Taylor method application reveal that the method is valid in explaining the sensitive behavior of shallow arches. In conclusion, The multi-interval Taylor series method as the result of this work can be applied to deal with the nonlinear differential equations for the sensitive dynamic system like arch structures and the reliability of the analysis results is able to expected.

영어초록

This study aims at obtaining an analytical solution of nonlinear dynamic system by using multi-interval Taylor series method, and adopting a arch model to its application. For this purpose, the nonlinear governing equations of the arch are formulated and the examples of symmetric and asymmetric modes are dealt with to obtain the analytical solution within each interval. The results of dynamic analysis using this method is also conducted to evaluate the computed solution for the behavior of the arches subjected to step excitations. As the results, the polynomial series solutions with respect to time are able to be obtained from this method. In this paper, the dynamic snapping of the shallow arches is observed very well from the result of the symmetric mode example, and a change of attractor in phase space is investigated as well. A significant growth of displacement response and the appearance of strange attractor are also manifested in the asymmetric mode model under step excitation. These results from the response and the attractor investigation through Taylor method application reveal that the method is valid in explaining the sensitive behavior of shallow arches. In conclusion, The multi-interval Taylor series method as the result of this work can be applied to deal with the nonlinear differential equations for the sensitive dynamic system like arch structures and the reliability of the analysis results is able to expected.

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