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Structural Optimization of an LMU Using Approximate Model 원문보기

한국기계가공학회지 = Journal of the Korean Society of Manufacturing Process Engineers, v.17 no.6, 2018년, pp.75 - 82  

한동섭 ((주)레미타이트 기업부설연구소) ,  장시환 (동아대학교 기계공학과) ,  박순형 ((주)센트랄 중앙연구소) ,  이권희 (동아대학교 기계공학과)

Abstract AI-Helper 아이콘AI-Helper

This study suggests an optimal design process of an LMU, which is installed on the top side of offshore structures. The LMU is consist of EB(elastomeric bearing) and steel plate, and supports the vertical loads of offshore structures and assists its stable installation. The structural design require...

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제안 방법

  • When the size and number of reinforced plates are increased excessively, it makes the force-displacement curve become nonlinear. Considering this, the design goal was to find the design variables that made the force-displacement curve closer to linearity. Thus, optimization was performed to minimize the error between ideal function values and predicted function values, as presented in Eq.
  • 3. First, design variables were defined, and experiments were set to build a metamodel using the experimental design. Here, a full factorial experiment was used.
  • To do this, the stiffness was evaluated through FEA while changing the thickness, width, and number of reinforced steel plates. However, the study was limited to designing an LMU with trial and error method. Thus, the present study aims to propose and apply an optimal design technique for an LMU by extending the previous study.
  • ). The design procedure proposed in this study can achieve the flexible design of elastomeric bearings.
  • Next, based on the analysis results, a Kriging interpolation method was employed to build an approximate model. The multi-objective function was substituted with the approximate model, and finally, the optimal solution was calculated using the generalized reduced gradient (GRG) algorithm in the solution search function, a built-in function in Excel. In addition, verification analysis was performed to calculate the actual value in the optimal solution, since the predicted optimal solution was based on the approximate model.
  • This study employed a full factorial experiment method for each design variable as a design of experiment method. The level of each design variable was set to 3, as presented in Table 1, so that 33 = 27 experiments were defined.
  • This study optimized an elastomeric bearing in an LMU, which is required to install marine structures and absorb impact at the supporting point of marine structures, and obtained the following conclusions.
  • This study proposed a design of an LMU with optimal stiffness used to install a topside of a marine structure, as shown in Fig. 1. Most LMUs are cylindrical shaped, and the reinforced plate-inserted rubber elastomeric bearing and steel plate are laminated in layers.
  • However, the study was limited to designing an LMU with trial and error method. Thus, the present study aims to propose and apply an optimal design technique for an LMU by extending the previous study.
  • A previous study[1] predicted the stiffness of an LMU through finite element analysis (FEA) and investigated the relationship between reinforced plates and compressive stiffness. To do this, the stiffness was evaluated through FEA while changing the thickness, width, and number of reinforced steel plates. However, the study was limited to designing an LMU with trial and error method.

데이터처리

  • A Kriging interpolation method[3-6] was used to create the metamodel, which was implemented by Excel. The optimal solution in the multi-objective function was calculated by using the built-in generalized reduced gradient algorithm in Excel. This study used the commercial program ANSYS for FEA.

이론/모형

  • In addition, FEA was performed for each experiment. ANSYS was used to calculate the stiffness in this study. Next, based on the analysis results, a Kriging interpolation method was employed to build an approximate model.
  • ANSYS was used to calculate the stiffness in this study. Next, based on the analysis results, a Kriging interpolation method was employed to build an approximate model. The multi-objective function was substituted with the approximate model, and finally, the optimal solution was calculated using the generalized reduced gradient (GRG) algorithm in the solution search function, a built-in function in Excel.
  • This study applied the metamodel-based optimization technique to optimize the elastomeric bearing in the LMU. In addition, an ideal function was selected to obtain desirable objective values, which were then analyzed and compared with the predicted values.
  • The stiffness analysis of the LMU should consider the contact phenomenon, and discrete design variables are included in the design. Thus, this study adopted the metamodel-based optimization technique for the LMU design. The metamodel can be built using a Kriging model[3-6] and a response surface model[7], etc.
  • 1) The stiffness could be predicted with a function of design variables using the Kriging approximate model. To do this, the experimental design and Kriging approximate model were applied.
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참고문헌 (9)

  1. Han, D. S., Jang, S. H., Lee, K. H., “Stiffness Evaluation of Elastomeric Bearings for Leg Mating Unit,” Journal of the Korea Academia-Industrial Cooperation Society, Vol. 18, No. 12, pp. 106-111, 2017. 

  2. Sin, B. S., Kim, S. U., Kim J. K., Lee, K. H., “Robust Design of an Automobile Ball Joint Considering the Worst-Case Analysis,” Journal of the Korean Society of Manufacturing, Vol. 16, No. 1, pp. 102-111, 2017. 

  3. Nestor, V. Q., Javier, V. G., Salvador, P., "Surrogate Modeling-Based Optimization of SAGD Processes," Journal of Petroleum Science and Engineering, Vol. 35, Issues 12, pp. 83-89, 2002. 

  4. Song, B. C., Park, Y. C., Kang, S. W., Lee, K. H., “Structural Optimization of an Upper Control Arm, Considering the Strength,” J. of Automobile Engineering, Vol. 223, No. 6, pp. 727-735, 2009. 

  5. Lee, K. H., “A Robust Structural Design Method Using the Kriging Model to Define the Probability of Design Success,” Journal of Mechanical Engineering Science, Series C, Vol. 224, No. 2, pp. 379-388, 2010. 

  6. Park, Y. C., Baek, S. K., Seo, B. K., Kim, J. K., Lee, K. H., "Lightweight Design of an Outer Tie Rod for an Electrical Vehicle," Journal of Applied Mathematics, Vol. 2014, pp. 6, 2014. 

  7. Byon, S. K., "Optimization of Boss Shape for Damage Reduction of the Press-fitted Shaft End," Journal of the Korean Society of Manufacturing, Vol. 14, No. 3, pp. 85-91, 2015 (http://doi.org/10.14775/ksmpe.2015.14.3.085). 

  8. Bae, D. Y., Lee, S. J., Lee, J. Y., “Calculation of Load on Jacket Leg during Float-over Installation of Dual Topsides Using Single Vessel,” Journal of Ocean Engineering and Technology, Vol. 29, No. 2, pp. 135-142, 2015. 

  9. Seval, P., Fuad, O., “Compression of Hollow-Circular Fiber-Reinforced Rubber Bearings,” Structural Engineering and Mechanics, Vol. 38, No. 3, pp. 361-384, 2011. 

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