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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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In this study, we investigated the dynamic stability of the system and the semi-analytical solution of the shallow arch. The governing equation for the primary symmetric mode of the arch under external load was derived and expressed simply by using parameters. The semi-analytical solution of the equation was obtained using the Taylor series and the stability of the system for the constant load was analyzed. As a result, we can classify equilibrium points by root of equilibrium equation, and classified stable, asymptotical stable and unstable resigns of equilibrium path. We observed stable points and attractors that appeared differently depending on the shape parameter h, and we can see the points where dynamic buckling occurs. Dynamic buckling of arches with initial condition did not occur in low shape parameter, and sensitive range of critical boundary was observed in low damping constants.
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참고문헌 (22)
참고문헌 신청
Hoff, N. J. / 1954 / Dynamic Analysis of the Buckling of Laterally Loaded Flat Arches / Journal of Mathematics and Physics 32(1-4):276~288
Humphreys, J. S. / 1966 / On Dynamic Snap Buckling of Shallow Arches / AIAA Journal 4(5):878~886
Hsu, C. S. / 1968 / Equilibrium configurations of a shallow arch of arbitrary shape and their dynamic stability character / International Journal of Non-Linear Mechanics 3(2):113~136
Donaldson, M. T. / 1983 / Dynamic stability boundaries for a sinusoidal shallow arch under pulse loads / AIAA Journal 21(3):469~471
Blair, K. B. / 1996 / Non-linear dynamic response of shallow arches to harmonic forcing / Journal of Sound and Vibration 194(3):353~367
Humphreys, J. S. / 1966 / On Dynamic Snap Buckling of Shallow Arches / AIAA Journal 4(5):878~886
Hsu, C. S. / 1968 / Equilibrium configurations of a shallow arch of arbitrary shape and their dynamic stability character / International Journal of Non-Linear Mechanics 3(2):113~136
Donaldson, M. T. / 1983 / Dynamic stability boundaries for a sinusoidal shallow arch under pulse loads / AIAA Journal 21(3):469~471
Blair, K. B. / 1996 / Non-linear dynamic response of shallow arches to harmonic forcing / Journal of Sound and Vibration 194(3):353~367
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