Abstract
In [1], the dynamic response of an impacted elastic plate is analysed. Using the method in [1] is on condition that impacting body is rigid and the relation between impact reacting force and partial deformation is known. In this paper, simulate formula of impact reacting force function is presented. Without assumption of impacting body, dynamic response in impact procedure is considered, avoiding the problem of partial deformation. Because of analysis by law of momentum conservation, impulse theorem, dynamic differential equation and numerical method, the method in this paper is more suitable for application. Examples of the application are given. In precision, solution in this paper is identical with known correct solution.
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References
Huang Wei and Zou Yida, Dynamic response of an elastic plate on a viscoelastic foundation collided by a moving rigid body, Engineering Mechanics, 3 (1993). (in Chinese)
Sun Huanchun and Song Yaxin, Contact-impact dynamic response analysis of structures, Journal of Computational Structural Mechanics and Applications (1994). (in Chinese)
Feng Kang, Numerical Calculation Method, National Defence Intustry Publishing House (1978). (in Chinese)
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Communicated by Liu Renhuai
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Bangxin, Y. Analysis of dynamic response of an impacted elastic plate. Appl Math Mech 17, 677–682 (1996). https://doi.org/10.1007/BF00123111
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DOI: https://doi.org/10.1007/BF00123111