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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
74 International Journal Seung-Ho Ham, Myung-Il Roh, "Dynamic Analysis of Block Offloading Using Self-propelled Modular Transporters", Automation in Construction, Vol. 96, pp. 411-432, 2018.12.01 file 2018-12-01
73 International Journal Min-Jae Oh, Myung-Il Roh, Tae-Wan Kim, "Local T-spline Surface Skinning with Shape Preservation", Computer-Aided Design, Vol. 104, pp. 15-26, 2018.11.01 file 2018-11-01
72 International Journal Hye-Won Lee, Myung-Il Roh, "Review of the Multibody Dynamics in the Applications of Ships and Offshore Structures", Ocean Engineering, Vol. 167, pp. 65-76, 2018.11.01 file 2018-11-01
71 International Journal Luman Zhao, Myung-Il Roh, Seung-Ho Ham, "Performance Analysis of an Active Heave Compensation System on an Offshore Supply Vessel Using the Hardware-In-The-Loop Simulation", Journal of Marine Science and Technology (Taiwan), Vol. 26, No. 5 file 2018-10-01
70 International Journal Seung-Ho Ham, Myung-Il Roh, Ju-Sung Kim, "Numerical Analysis of Wreck Removal Based on Multibody System Dynamics", Journal of Marine Science and Technology, Vol. 23, No. 3, pp. 521-535, 2018.09.01 file 2018-09-01
69 International Journal Hye-Won Lee, Myung-Il Roh, Seung-Ho Ham, Nam-Kug Ku, "Coupled Analysis Method of a Mooring System and a Floating Crane Based on Flexible Multibody Dynamics Considering Contact with the Seabed", Ocean Engineering, Vol. 163, pp. 555-569, 2018.09.01 file 2018-09-01
68 International Journal Seung-Ho Ham, Myung-Il Roh, Luman Zhao, "Integrated Method of Analysis, Visualization, and Hardware for Ship Motion Simulation", Journal of Computational Design and Engineering, Vol. 5, No. 3, pp. 285-298, 2018.07.01 file 2018-07-01
67 International Journal Luman Zhao, Myung-Il Roh, Seung-Ho Ham, "Anti-Sway Control of the Crane on an Offshore Support Vessel Based on the Hardware-In-The-Loop Simulation", International Journal of Offshore and Polar Engineering, Vol. 28, No. 2, pp. 182-189, 2018.06.01 file 2018-06-01
66 International Journal Sung-Min Lee, Myung-Il Roh, Ki-Su Kim, Hoe-Ryong Jung, Jong-Jin Park, "Method for a Simultaneous Determination of the Path and the Speed for Ship Route Planning Problems", Ocean Engineering, Vol. 157, pp. 301-312, 2018.06.01 file 2018-06-01
65 International Journal Sung-Min Lee, Myung-Il Roh, Ki-Su Kim, Seung-Ho Ham, "Optimum Design of Lug Arrangement Based on Static and Dynamic Analyses for Block Lifting", Journal of Ship Production and Design, Vol. 34, No. 2, pp. 119-133, 2018.05.01 file 2018-05-01
64 International Journal Sun-Kyung Jung, Myung-Il Roh, Ki-Su Kim, "Arrangement Method of a Naval Surface Ship Considering Stability, Operability, and Survivability", Ocean Engineering, Vol. 152, pp. 316-333, 2018.02.23 file 2018-02-23
63 International Journal Ki-Su Kim, Myung-Il Roh, Sung-Min Lee, Han-Sung Kim, Hyunsik Ahn, "Weight-estimation Method of FPSO Topsides Considering the Work Breakdown Structure", Journal of Offshore Mechanics and Arctic Engineering, Vol. 40, No. 1, pp. 1-10, 2018.02.01 file 2018-02-01
62 International Journal Seung-Ho Ham, Myung-Il Roh, Hye-Won Lee, Jin-Wuk Hong, Hong-Rae Lee, "Development and Validation of a Simulation-based Safety Evaluation Program for a Mega Floating Crane", Advances In Engineering Software, Vol. 112, pp. 101-116, 2017.10.01 file 2017-10-01
61 International Journal Seung-Ho Ham, Myung-Il Roh, Jung-Woo Hong, “Dynamic Effect of a Flexible Riser in a Fully Connected Semisubmersible Drilling Rig Using the Absolute Nodal Coordinate Formulation”, Journal of Offshore Mechanics and Arctic Engineering, 2017.10.01 file 2017-10-01
60 International Journal Dong-Hoon Jeong, Myung-Il Roh, Seung-Ho Ham, “Case Study of Detection and Maneuvering Performance of Naval Ships Using Engagement Simulation of Engineering Level”, Ocean Systems Engineering, Vol. 7, No. 3, pp. 247-273, 2017.09.01 file 2017-09-01
59 International Journal Dong-Hoon Jeong, Myung-Il Roh, Seung-Ho Ham, Chan-Young Lee, “Performance Analyses of Naval Ships Based on Engineering Level of Simulation at the Initial Design Stage”, IJNAOE, Vol. 9, No. 4, pp. 446-459, 2017.07.01 file 2017-07-01
58 International Journal Sung-Kyoon Kim, Myung-Il Roh, Ki-Su Kim, “Arrangement Method of Offshore Topside Based on an Expert System and Optimization Technique”, Journal of Offshore Mechanics and Arctic Engineering, Vol. 139, No. 2, pp. 1-19, 2017.04.01 file 2017-04-01
57 International Journal Seong-Hoon Kim, Myung-Il Roh, Ki-Su Kim, Min-Jae Oh, “Big Data Platform Based on Hadoop and Application to Weight Estimation of FPSO Topside”, Journal of Advanced Research in Ocean Engineering, Vol. 3, No. 1, pp. 32-40, 2017.03.01 file 2017-03-01
56 International Journal Sung-Kyoon Kim, Myung-Il Roh, Ki-Su Kim, “Evaluation of Feasibility Index in the Arrangement Design of an Offshore Topside based on the Automatic Transformation of Experts’ Knowledge and the Fuzzy Logic”, Ocean Engineering, Vol. 130, 2017.01.15 file 2017-01-15
55 International Journal Ju-Sung Kim, Myung-Il Roh, Seung-Ho Ham, “A Method for Intermediate Flooding and Sinking Simulation of a Damaged Floater in Time Domain”, Journal of Computational Design and Engineering, Vol. 4, No. 1, pp. 1-13, 2017.01.01 file 2017-01-01
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