Journal of the Korean Society of Manufacturing Process Engineers (한국기계가공학회지)

The Korean Society of Manufacturing Process Engineers (한국기계가공학회)
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Sensitivity Analysis of Dynamic Response by Change in Excitation Force and Cross-sectional Shape for Damped Vibration of Cantilever Beam

가진력과 단면형상 변화에 따른 외팔보 감쇠 진동의 민감도 해석

  • Yun, Seong-Ho (Department of Mechanical Engineering, KUMOH NATIONAL INSTITUTE OF TECHNOLOGY)
  • 윤성호 (금오공과공대학교 기계공학과)
  • Received : 2021.04.23
  • Accepted : 2021.07.18
  • Published : 2021.08.31
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Abstract

This paper describes the time rate of change of dynamic response of a cantilever beam inserted with a damping element, such as bonding, which is excited under a general force at various locations. A sensitivity analysis was performed in a finite element model to show that two types of second-order algebraic governing equations were used to predict the rate of change of dynamic displacement: one is related to the modal coordinate linked to a physical coordinate, and the other to the design parameter of the time rate of change of displacement. The sensitivity differential equation formulation includes more complicated terms compared with that of the undamped cantilever beam. The sensitivities of the dynamic response were observed by changing the location of the excitation force, displacement extraction, and cross-sectional area of the beam. The analytical results obtained by this suggested theory showed a relatively good agreement when compared with those obtained using the commercial finite element program. The suggested analysis procedure enables the prediction of the response sensitivity for any finite element model of the dynamic system.

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Acknowledgement

This research was supported by Kumoh National Institute of Technology(2019-104-083)

References

  1. Kim, S. H., Jo, Y. J., Kim, J. H. and Park Y. C., "Design Sensitivity Analysis of Gate Valve Using the Variational Technology," Journal of Korean Society of Manufacturing Process Engineers, Vol. 7, No. 1, pp. 38-46, 2008.
  2. Yun, S. H., "Prediction of Natural Frequency via Change in Design Variable on Connection Area of Lap Joint," Journal of Korean Society of Manufacturing Process Engineers, Vol. 18, No. 11, pp. 57-62, 2019. https://doi.org/10.14775/ksmpe.2019.18.11.057
  3. Yun, S. H., "Applicaion of Sensitivity Formulation to Analyze the Dynamic Response due to the Excitation Force for the Undamped Vibration of Cantilever Beam," Journal of Korean Society of Manufacturing Process Engineers, Vol. 19, No. 11, pp. 29-34, 2020. https://doi.org/10.14775/ksmpe.2020.19.11.029
  4. Bogomolni, M., Kirsch, U. and Sheinman I., "Efficient Design Sensitivities of Structures Subjected to Dynamic Loading," International Journal of Solids and Structures, Vol. 43, Issues. 18~19, pp. 5845-5500, 2006.
  5. Chen, S. Y., Shui, X. F. and Huang, H., "Improved Generic Algorithm with Two-level Approximation Using Shape Sensitivities for Truss Layout Optimization," Structural and Multidisciplinary Optimization, Vol. 55, pp. 1365-1382, 2017. https://doi.org/10.1007/s00158-016-1583-2
  6. Ansys Workbench 2021R1, Ansys Inc., USA, 2021.