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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
46 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
45 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
» 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
43 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
42 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
41 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
40 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
39 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
38 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
37 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
36 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
35 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
34 International Journal Nam-Kug Ku, Ji-Hyun Hwang, Joon-Chae Lee, Myung-Il Roh, Kyu-Yeul Lee, "Optimal Module Layout for a Generic Offshore LNG Liquefaction Process of LNG-FPSO", Ships and Offshore Structures, Vol. 9, No. 3, pp. 311-332, 2014.05.01 file 2014-05-01
33 International Journal Nam-Kug Ku, Ju-Hwan Cha, Myung-Il Roh, Kyu-Yeul Lee, "A Tagline Proportional-Derivative Control Method for the Anti-Swing Motion of a Heavy Load Suspended by a Floating Crane in Waves", Journal of Engineering for the Maritime Environment, Vol. 227, No. 4, pp. 357-366, 2013.11.01 file 2013-11-01
32 International Journal Myung-Il Roh, "Determination of an Economical Shipping Route Considering the Effects of Sea State for Lower Fuel Consumption", International Journal of Naval Architecture and Ocean Engineering, Vol. 5, No. 2, pp. 246-262, 2013.06.01 file 2013-06-01
31 International Journal Ji-Hyun Hwang, Nam-Kug Ku, Myung-Il Roh, Kyu-Yeul Lee, "Optimal Design of Liquefaction Cycles of Liquefied Natural Gas", Industrial & Engineering Chemistry Research, Vol. 52, No. 15, pp. 5341-5356, 2013.03.01 file 2013-03-01
30 International Journal Ji-Hyun Hwang, Myung-Il Roh, Kyu-Yeul Lee, "Determination of the Optimal Operating Condition of the Dual Mixed Refrigerant Cycle for the LNG FPSO Topside Liquefaction Process", Computers and Chemical Engineering, Vol. 49, pp. 25-36, 2013.02.01 file 2013-02-01
29 International Journal Myung-Il Roh, Sol Ha, "Advanced Ship Evacuation Analysis Using a Cell-Based Simulation Model", Computers In Industry, Vol. 64, No. 1, pp. 80-89, 2013.01.01 file 2013-01-01
28 International Journal Myung-Il Roh, "Block Layout Method in the Block Stockyard Based on the Genetic Algorithm", Ocean Systems Engineering, Vol. 2, No. 4, pp. 271-287, 2012.12.01 file 2012-12-01
27 International Journal Sol Ha, Nam-Kug Ku, Myung-Il Roh, Kyu-Yeul Lee, "Cell-Based Evacuation Simulation Considering Human Behavior in a Passenger Ship", Ocean Engineering, Vol. 53, pp. 138-152, 2012.10.01 file 2012-10-01
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