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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


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  6. No Image 20Dec
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  8. No Image 03Oct
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    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

  9. 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

  10. No Image 17Apr
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    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

  11. No Image 03Nov
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    Seung-Ho Ham, Myung-Il Roh, Hye-Won Lee, "Collision Detection and Response of Multibody Systems Using a Position Difference Method and Non-Interpenetration Constraint in Shipbuilding Simulation", Ocean Engineering, Vol. 195, pp. 1-18, 2020.01.01

  12. No Image 04Oct
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    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

  13. No Image 26Aug
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    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

  14. No Image 03Mar
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    Seong-Hoon Kim, Myung-Il Roh, Min-Jae Oh, Sung-Woo Park, "Estimation of Ship Operational Efficiency from AIS Data Using Big Data Technology", IJNAOE, Vol. 12, pp. 440-453, 2020.05.21

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    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

  16. No Image 02Dec
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    Sang-Uk Lee, Myung-Il Roh, Ju-Hwan Cha, Kyu-Yeul Lee, "Ship Compartment Modeling Based On a Non-manifold Polyhedron Modeling Kernel", Advances In Engineering Software, Vol. 40, No. 5, pp. 378-388, 2009.05.01

  17. No Image 15Dec
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    Sang-Hyun Lee, Myung-Il Roh, Min-Jae Oh, Ki-Su Kim, "Optimal Layout Design of an LNG FPSO: A Case Study", Journal of Offshore Mechanics and Arctic Engineering, Vol. 142, No. 041403, pp. 1-17, 2020.08.01

  18. No Image 20Aug
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  19. No Image 01Dec
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    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

  20. No Image 20Aug
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