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Abstract In this study, we derived a Discrete Euler–Lagrange (DEL) equation to represent the motion of a multibody system, in which many bodies are connected physically by joints or wire ropes. By discretizing and re-formulating the traditional Euler–Lagrange equation, we obtained a discrete time integrator, called the Stömer–Verlet method. Similarly, we discretized the equations of constraints of joints and wire ropes by the midpoint rule. Then, we adapted regularization and stabilization methods, to overcome numerical instability and the stiffness problem. The DEL equation can be formulated automatically, by defining the equations of joint constraints and their derivatives. In addition, the stretching of the wire rope is mathematically modeled as constraints for stability. To apply the DEL equation to a floating vessel, hydrostatic and hydrodynamic forces are considered as external forces. We applied the DEL equation to a mass–spring system with the large spring coefficient. And we tested a spring pendulum modeled by a constraint-based wire rope. Despite the large spring coefficient, the DEL equation with the constraint-based wire rope shows relatively stable motion. We tested the automatic formulation by three-dimensional multiple pendulums. Finally, we simulated a floating crane and a heavy load connected by constraint-based wire rope, based on set of regular waves with different wave heights, directions and periods.
Publication Date 2015-11-15
Role Corresponding Author
Category SCI
Impact Factor 1.351

Seung-Ho Ham, Myung-Il Roh, Hye-Won Lee, Sol Ha, "Multibody Dynamic Analysis of a Heavy Load Suspended by a Floating Crane with Constraint-based Wire Rope", Ocean Engineering, Vol. 109, pp. 145-160, 2015.11.15


List of Articles
번호 분류 제목 Publication Date
101 International Journal Nam-Kug Ku, Sol Ha, Myung-Il Roh, "Crane Modeling and Simulation in Offshore Structure Building Industry", International Journal of Computer Theory and Engineering, Vol. 6, No. 3, pp. 278-284, 2014.06.01 file 2014-06-01
100 International Journal Nam-Kug Ku, Sol Ha, Myung-Il Roh, "Design of Controller for Mobile Robot in Welding Process of Shipbuilding Engineering", Journal of Computational Design and Engineering, Vol. 1, No. 4, pp. 243-255, 2014.10.01 file 2014-10-01
99 Domestic Journal 서성호, 노명일, 신현경, "비선형 회귀 분석을 이용한 부유식 해양 구조물의중량 추정 모델 연구", 대한조선학회 논문집, Vol. 51, No. 6, pp. 530-538, 2014.12.01 file 2014-12-01
98 Domestic Journal 정세용, 노명일, 신현경, "최적화 기법을 이용한 부유식 해양 플랜트 상부 구조의 다층 배치 모델", 대한조선학회 논문집, Vol. 52, No. 1, pp. 77-87, 2015.02.01 file 2015-02-01
97 Domestic Journal 엄태섭, 노명일, 신현경, "개선된 유전적 프로그래밍 방법을 이용한 부유식 해양 구조물의 중량 추정 모델 연구", 대한조선학회 논문집, Vol. 52, No. 1, pp. 1-7, 2015.02.01 file 2015-02-01
96 International Journal Tae-Sub Um, Myung-Il Roh, "Optimal Dimension Design of a Hatch Cover for Lightening a Bulk Carrier", International Journal of Naval Architecture and Ocean Engineering, Vol. 7, No. 2, pp. 270-287, 2015.03.01 file 2015-03-01
95 Domestic Journal 구남국, 노명일, 하솔, 신현경, "다물체계 운동 방정식 선형화를 통한 해상 풍력 발전기 동적 거동의 주파수 영역 해석 방법에 관한 연구", 한국CAD/CAM학회 논문집, Vol. 20, No. 1, pp. 84-92, 2015.03.01 file 2015-03-01
94 International Journal Luman Zhao, Myung-Il Roh, Jeong-Woo Hong, "Optimal Thrust Allocation for Dynamic Positioning of Deep-sea Working Vessel", Journal of Advanced Research in Ocean Engineering, Vol. 1, No. 2, pp. 94-105, 2015.06.01 file 2015-06-01
93 International Journal Sol Ha, Nam-Kug Ku, Myung-Il Roh, Ho-Jin Hwang, "Multibody System Dynamics Simulator for Process Simulation of Ships and Offshore Plants in Shipyards", Advances In Engineering Software, Vol. 85, pp. 12-25, 2015.07.01 file 2015-07-01
92 International Journal Dong-Hoon Jeong, Myung-Il Roh, Seung-Ho Ham, "Lifting Off Simulation of an Offshore Supply Vessel Considering Ocean Environmental Loads and Lifting Off Velocity", Ocean Systems Engineering, Vol. 5, No. 3, pp. 181-198, 2015.09.01 file 2015-09-01
91 International Journal Hye-Won Lee, Myung-Il Roh, Seung-Ho Ham, Sol Ha, "Dynamic Simulation of the Wireline Riser Tensioner System for a Mobile Offshore Drilling Unit Based on Multibody System Dynamics", Ocean Engineering, Vol. 106, pp. 485-495, 2015.09.15 file 2015-09-15
90 Domestic Journal 함승호, 노명일, 김주성, 이혜원, 하솔, "환경 하중을 고려한 침몰 선체의 물리 기반 인양 시뮬레이션", 대한조선학회 논문집, Vol. 5, No. 5, pp. 387-394, 2015.10.01 file 2015-10-01
89 International Journal Luman Zhao, Myung-Il Roh, “A Thrust Allocation Method for Efficient Dynamic Positioning of a Semisubmersible Drilling Rig Based on the Hybrid Optimization Algorithm”, Mathematical Problems in Engineering, Vol. 2015, pp. 1-12, 2015.10.01 file 2015-10-01
88 International Journal Nam-Kug Ku, Myung-Il Roh, "Dynamic Response Simulation of an Offshore Wind Turbine Suspended by a Floating Crane", Ships and Offshore Structures, Vol. 10, No. 6, pp. 621-634, 2015.11.01 file 2015-11-01
» International Journal Seung-Ho Ham, Myung-Il Roh, Hye-Won Lee, Sol Ha, "Multibody Dynamic Analysis of a Heavy Load Suspended by a Floating Crane with Constraint-based Wire Rope", Ocean Engineering, Vol. 109, pp. 145-160, 2015.11.15 file 2015-11-15
86 International Journal Ki-Su Kim, Myung-Il Roh, Sol Ha, "Expert System Based on the Arrangement Evaluation Model for the Arrangement Design of a Submarine", Expert Systems with Applications, Vol. 42, No. 22, pp. 8731-8744, 2015.12.01 file 2015-12-01
85 International Journal Sol Ha, Nam-Kug Ku, Myung-Il Roh, "Event-based Scenario Manager for Multibody Dynamics Simulation of Heavy Load Lifting Operations in Shipyards", International Journal of Naval Architecture and Ocean Engineering, Vol. 8, No. 1, pp. 83-101, 2016.01.01 file 2016-01-01
84 International Journal Seung-Ho Ham, Myung-Il Roh, Hye-Won Lee, "Simulation of Load Lifting with Equalizers Used in Shipyards", Automation in Construction, Vol. 61, pp. 98-111, 2016.02.01 file 2016-02-01
83 Domestic Journal 김기수, 노명일, 김성용, 안진우, "잠수함의 구획 및 장비 배치 최적화를 위한 배치 템플릿 모델", 한국CAD/CAM학회 논문집, Vol. 21, No. 1, pp. 51-60, 2016.03.01 file 2016-03-01
82 Domestic Journal 이수호, 안현식, 허윤, 배재류, 김기수, 함승호, 이성민, 노명일, "해양 공사 EPC 견적용 중량 추산 방법에 관한 기초 연구", 대한조선학회 논문집, Vol. 53, No. 2, pp. 154-161, 2016.04.01 file 2016-04-01
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