본 논문에서는 다지지점 가진에 의한 구조물의 동적응답을 구하기 위하여 유한요소모형을 수정하고 등가하중을 도입하는 간단한 기법을 제안하였다. 제안방법은 다지지점 입력에 대한 해석기능이 있는 기존의 범용구조해석 S/W를 이용한 선형 및 비선형 해석결과와 비교하여 검증하였다. 이 기법은 다지지점 입력에 대한 해석기능이 없는 범용유한요소해석 S/W 및 비선형 구조해석을 위하여 특별히 개발되었던 전산프로그램을 이용하여 다지지점 입력에 대한 지진응답해석을 수행할 때 유용하게 활용될 수 있을 것으로 기대된다.

Recently, tug boats are widely used for towing a barge which transports building materials, a large block of a ship, offshore crane, and so on. In order to simulate the dynamics of the coupled towing system correctly, the dynamics of the towline should be well modeled. In this paper, the towline was modeled as the multiple finite elements, and each element was assumed as a rigid cylinder which moves in five degrees of freedom except roll. The external tension and its moment acting on each element of the towline were modeled depending on the position vector's direction. Tugboat's motion was simulated in six degrees of freedom where wave and current effects were included, and towed barge was assumed to move in the horizontal plane only. In order to confirm the mathematical models of the coupled towing systems, standard maneuvering trials such as course changing maneuver, turning circle test and zig-zag test were simulated. In addition, the same trials were simulated when the external disturbances like wave and current exist. As the result, it is supposed that the results might be qualitatively reasonable.