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弹性方柱中波的传播规律 Ⅲ.无限长方柱的瞬态响应 被引量:1

Wave Propagation in Elastic Square Columns Ⅲ. Transient Response in Unlimited Square Column
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摘要 提出行波追踪方法,在以前工作中得到解析形式的频散方程、群速度方程和稳态响应的基础上,完全得到无限长方柱在任意外力作用下解析形式的瞬态响应。绘制了无限长方柱在外力作用下的瞬态响应,并同有限长方柱中的行波进行了比较。 This is a continue work in studying the wave propagation in elastic square columns. Based on the analytic dispersive equation, group velocity equation and steady response obtained from the previous work, the analytic transient response of unlimited column was derived when the propagating wave pursuing method was introduced. Then a calculation was represented, the transient responses were plotted of unlimited square columns, and the propagation waves in limited and unlimited columns were compared.
出处 《北京大学学报(自然科学版)》 EI CAS CSCD 北大核心 2008年第6期839-846,共8页 Acta Scientiarum Naturalium Universitatis Pekinensis
基金 国家自然科学基金资助项目(10572001)
关键词 无限长方柱 行波追踪方法 瞬态响应 开放系统 unlimited square column propagating wave pursuing method transient response open system
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  • 1Graff K F. Wave Motion in Elastic Solids. Oxford: Oxford University Press, 1991
  • 2Mindlin R D. Wave and vibrations in isotropic elastic plates. Structural Mechanics, 1960: 199-232.
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  • 8魏建萍,苏先樾.弹性方柱中波的传播规律 Ⅰ.频谱、群速度曲线和稳态响应[J].北京大学学报(自然科学版),2007,43(5):592-599. 被引量:3

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同被引文献8

  • 1Karl F G. Wave motion in elastic solids. 1st ed. Oxford: Oxford University Press, 1991.
  • 2Mindlin R D. Wave and vibrations in isotropic elastic plates // Structural Mechanics. Oxford: Pergamon Press, 1960: 199-232.
  • 3Onoe M, Mcniven H D, Mindlin R D. Dispersion of axially symmetric waves in elastic rods. J Appl Mech, 1962, 29 (4) : 729-734.
  • 4Pao Y H. The dispersion of flexural waves in an elastic circular cylinder, part Ⅱ. J Appl Mech, 1962, 29(1): 61-64.
  • 5邦德列雅金,著.连续群(上).曹锡华,译.北京:科学出版社,1957.
  • 6邦德列雅金,著.连续群(下).曹锡华,译.北京:科学出版社,1958.
  • 7魏建萍,苏先樾.弹性方柱中波的传播规律 Ⅰ.频谱、群速度曲线和稳态响应[J].北京大学学报(自然科学版),2007,43(5):592-599. 被引量:3
  • 8魏建萍,苏先樾.弹性方柱中波的传播规律 Ⅱ.有限长方柱的瞬态响应[J].北京大学学报(自然科学版),2008,44(5):683-688. 被引量:2

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