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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
68 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
67 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
66 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
64 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
63 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
62 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
61 International Journal Dong-Hoon Jeong, Myung-Il Roh, Seung-Ho Ham, "Lifting Simulation of an Offshore Supply Vessel Considering Various Operating Conditions", Advances in Mechanical Engineering, Vol. 8, No. 6, pp. 1-13, 2016.06.16 file 2016-06-16
60 International Journal Hye-Won Lee, Myung-Il Roh, Seung-Ho Ham, "Block Turnover Simulation Considering the Interferences between the Block and Wire Ropes in Shipbuilding", Automation in Construction, Vol. 67, pp. 60-75, 2016.07.01 file 2016-07-01
59 International Journal Jeong-Woo Hong, Myung-Il Roh, Seung-Ho Ham, Sol Ha, "Dynamic Simulation of Subsea Equipment Installation Using an Offshore Support Vessel Based on Flexible Multibody System Dynamics", Journal of Marine Science and Technology (Taiwan), Vol. 24, No. 4 file 2016-08-01
58 International Journal Ki-Su Kim, Myung-Il Roh, "A Submarine Arrangement Design Program Based on the Expert System and the Multistage Optimization", Advances In Engineering Software, Vol. 98, No. 97-111, 2016.08.01 file 2016-08-01
57 International Journal Sol Ha, Seong-Ho Seo, Myung-Il Roh, Hyun-Kyoung Shin, "Simplified Nonlinear Model for the Weight Estimation of FPSO Plant Topside Using the Statistical Method", Ships and Offshore Structures, Vol. 11, No. 6, pp. 603-619, 2016.09.01 file 2016-09-01
56 International Journal John-Kyu Hwang, Myung-Il Roh, Ju-Hwan Cha, “Design Modification of a Damaged Free-Fall Lifeboat for FPSO Through Free-Fall Tests”, International Journal of Offshore and Polar Engineering, Vol. 26, No. 4, pp. 417-422, 2016.12.01 file 2016-12-01
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
54 International Journal Sol Ha, Tae-Sub Um, Myung-Il Roh, Hyun-Kyoung Shin, “A Structural Weight Estimation Model of FPSO Topsides Using an Improved Genetic Programming Method”, Ships and Offshore Structures, Vol. 12, No. 1, pp. 43-55, 2017.01.01 file 2017-01-01
53 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
52 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
51 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
50 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
49 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
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