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求解干扰力下板动力响应的空—时半解析法 被引量:3

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摘要 本文以Gurtin变分原理为基础,研究了干扰力作用下矩形板的时域函数的取法,得到了在空间域作有限元离散,在时间域取级数的本半解析法,由此得到既有较高精度又有较高效率的响应解。
出处 《工程力学》 EI CSCD 1996年第A02期433-435,共3页 Engineering Mechanics
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同被引文献15

  • 1马立明,何玉敖.应用Gurtin变分原理计算动力响应的单步时间元法[J].工程力学,1995,12(1):24-29. 被引量:10
  • 2李永莉,赵志岗,侯志奎.卷积型加权残值法求解薄板的动力学问题[J].工程力学,2006,23(1):43-46. 被引量:5
  • 3Gurtin ME. Variational principles for linear elastodynamics. Avchive for Rational Mechanics and Analysis, 1964, 16(1): 34-50.
  • 4Felgear RP. Formulas for Integrals Containing Characteristic Functions of a Vibrating Beam, Circular No 14, Bureau of Engineering Research, University of Texas, Austin, Texas, USA., 1950.
  • 5Clough R W. Dynamics of structure [M]. New York:McGraw-Hill Book Co., 1975.
  • 6Newmark N M. A method of computation for structural dynamics [I]. ASCE. J. of Engineering Mechanics Division, 1959, 85(3): 67-94.
  • 7Mather N B, Marmo O A. On enhancement of accuracy in direct integration dynamic response problems [J].Earthquake Engineering and Structural Dynamics, 1991,20: 699-703.
  • 8Warburton G B. Formulate for errors for initial displacement and velocity problems using the newmar kmethod [J]. Earthquake Engineering and Structural Dynamics, 1989, 18: 565-573.
  • 9Gurtin M E. Variational principles for linear elastodynamics [J]. Avchive for Rational Mechanics and Analysis, 1964, 16(1): 34-50.
  • 10Clough RW.Dynamics of Structure.New York:McGrawHill Book Co.,1975

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