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http://dx.doi.org/10.14775/ksmpe.2021.20.08.0011

Sensitivity Analysis of Dynamic Response by Change in Excitation Force and Cross-sectional Shape for Damped Vibration of Cantilever Beam  

Yun, Seong-Ho (Department of Mechanical Engineering, KUMOH NATIONAL INSTITUTE OF TECHNOLOGY)
Publication Information
Journal of the Korean Society of Manufacturing Process Engineers / v.20, no.8, 2021 , pp. 11-17 More about this Journal
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.
Keywords
Sensitivity Analysis; Dynamic Displacement Sensitivity; Damped Cantilever Beam Vibration; Beam Finite Element;
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1 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.   DOI
2 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.   DOI
3 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.
4 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.   DOI
5 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.
6 Ansys Workbench 2021R1, Ansys Inc., USA, 2021.