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.

본 연구에서는 0.5 wt% 에멀젼형 절삭유 수용액에 평막형 분리막을 침지시키고 대칭 및 비대칭 사인파형 투과유속 연속운전(SFCO) 방식으로 실험하였다. 사용한 정밀여과막은 유효 막면적이 0.02 m2이고 공칭 세공크기가 0.15 μm이었다. 탁도 기준으로 에멀젼형 절삭유의 99% 이상이 제거되었으며 산기량이 증가할수록 TMP가 낮게 상승하였다. 비대칭형 SFCO 운전방식은 투과유속이 낮은 10∼15 L/m2·h 영역에서 대칭형 SFCO 운전방식보다 다소 유리하였다. 하지만, 투과유속이 높은 25∼30 L/m2·h에서는 대칭형 SFCO 운전이 매우 효과적임을 확인할 수 있었다.