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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


  1. No Image 16Dec
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    in 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

  2. No Image 03Oct
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    in 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

  3. No Image 12Aug
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    in 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

  4. No Image 13Jul
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    in 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

  5. No Image 10May
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    in 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

  6. No Image 17Apr
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    in 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

  7. No Image 31Mar
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    in 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

  8. No Image 21Mar
    by
    in 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

  9. No Image 26Dec
    by
    in 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

  10. No Image 29Nov
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    in 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

  11. No Image 20Oct
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    in 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

  12. No Image 08Oct
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    in 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

  13. No Image 24Aug
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    in 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

  14. No Image 24May
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    in 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

  15. No Image 18Apr
    by
    in 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

  16. No Image 24Mar
    by
    in 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

  17. No Image 11Mar
    by
    in 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

  18. No Image 16Sep
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    in 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

  19. No Image 26Aug
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    in 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

  20. No Image 25Aug
    by SyDLab
    in 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

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