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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
54 International Journal Min-Chul Kong, Myung-Il Roh, Ki-Su Kim, Ho-Gyun Park, Jong-Oh Kim, "Variable Indexing Method in Rule Documents for Ship Design Using Extraction of PDF Elements", Journal of Computational Design and Engineering, Vol. 9, No. 6, 2022.11.16 file 2022-11-16
53 International Journal Min-Chul Kong, Myung-Il Roh, Ki-Su Kim, Jeongyoul Lee, Jongoh Kim, Gapheon Lee, "Object Detection Method for Ship Safety Plans Using Deep Learning", Ocean Engineering, 2022.02.15 file 2022-02-15
52 International Journal Min-Jae Oh, Myung-Il Roh, Sung-Woo Park, Do-Hyun Chun, Myeong-Jo Son, Jeong-Youl Lee, “Operational Analysis of Container Ships by Using Maritime Big Data”, Journal of Marine Science and Engineering, Vol. 9, No. 4, pp. 438: 1-21, 2021.04.18 file 2021-04-18
51 International Journal Min-Jae Oh, Myung-Il Roh, Sung-Woo Park, Do-Hyun Chun, Se-Hyun Myung, "Big Data-based Piping Material Analysis Framework in Offshore Structure for Contract Design", Ocean Systems Engineering, Vol. 9, No. 1, pp. 79-95, 2019.01.01 file 2019-01-01
50 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
49 International Journal Min-Jae Oh, Taw-Wan Kim, Myung-Il Roh, "G1 Bezier Surface Interpolation with T-junctions at a 3-Valent Singular Vertex", Computer Aided Geometric Design, Vol. 67, pp. 79-95, 2018.12.01 file 2018-12-01
48 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
47 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
46 International Journal Myung-Il Roh, Ju-Hwan Cha, "A Block Transportation Scheduling System Considering a Minimization of Travel Distance without Loading of and Interference between Multiple Transporters", International Journal of Production Research, Vol. 49, No. 11, pp. 3231-3250, 2011.06.01 file 2011-06-01
45 International Journal Myung-Il Roh, Kyu-Yeul Lee, "An Initial Hull Structural Modeling System for Computer-Aided Process Planning in Shipbuilding", Advances In Engineering Software, Vol. 37, No. 7, pp. 457-476, 2006.07.01 file 2006-07-01
44 International Journal Myung-Il Roh, Kyu-Yeul Lee, "Development of a 3D CAD System for Modeling Hull Structure at the Initial Ship Design Stage", Ships and Offshore Structures, Vol. 1, No. 2, pp. 135-151, 2006.04.01 file 2006-04-01
43 International Journal Myung-Il Roh, Kyu-Yeul Lee, "Generation of the 3D CAD Model of the Hull Structure at the Initial Ship Design Stage and Its Application", Computers in Industry, Vol. 58, No. 6, pp. 539-557, 2007.08.01 file 2007-08-01
42 International Journal Myung-Il Roh, Kyu-Yeul Lee, "Generation of the Production Material Information of a Building Block and Simulation of the Block Erection for Computer-Aided Process Planning and Scheduling in Shipbuilding", International Journal of Production Research, Vol. 45, No. 20, pp. 4653-4683, 2007.10.01 file 2007-10-01
41 International Journal Myung-Il Roh, Kyu-Yeul Lee, "Optimal Scheduling of Block Lifting in Consideration of the Minimization of Traveling Distance While Unloaded and Wire and Shackle Replacement of a Gantry Crane", Journal of Marine Science and Technology, Vol. 15, No. 2, pp. 190-200, 2010.06.01 file 2010-06-01
40 International Journal Myung-Il Roh, Kyu-Yeul Lee, Seong-Jin Yoo, "An Algorithm for Generating the Hull Structural Analysis Model Using the Seam Information of the Hull Structure at the Initial Design Stage", Journal of Ship and Ocean Technology, Vol. 10, No. 4, pp. 24-33, 2006.12.01 file 2006-12-01
39 International Journal Myung-Il Roh, Kyu-Yeul Lee, Woo-Young Choi, "Rapid Generation of the Piping Model Having the Relationship with a Hull Structure in Shipbuilding", Advances In Engineering Software, Vol. 38, No. 4, pp. 215-228, 2007.04.01 file 2007-04-01
38 International Journal Myung-Il Roh, Kyu-Yeul Lee, Woo-Young Choi, Seong-Jin Yoo, "Improvement of Ship Design Practice Using a 3D CAD Model of a Hull Structure", Robotics and Computer-Integrated Manufacturing Journal, Vol. 24, No. 1, pp. 105-124, 2008.02.01 file 2008-02-01
37 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
36 International Journal Nam-Kug Ku, Ara Jo, Sol Ha, Myung-Il Roh, Kyu-Yeul Lee, "Automatic Generation of Equations of Motion for Multibody System in Discrete Event Simulation Framework", Procedia Technology, Vol. 1, No. 1, pp. 55-64, 2012.02.01 file 2012-02-01
35 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
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