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关于圆柱壳定解方程的通解问题 被引量:1

On the General Solution of Cylindrical Shell Equations
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摘要 本文证明了Vlasov所提出的以应变一应力函数F(ξ,η)所表达的解,为圆柱壳的定解偏微分方程组的通解。 It is proved mathematically in this paper that the strain-stress function F(ξ(?)) on the cylindrical shell theory suggested by Vlasov[5] will give out the general solution of the simultaneous partial differential equations of cylindrical shell problem. That is to say, there is no any solution of the simultaneous partial differential equations can be omitted due to Vlasov's suggestion. The conclusion suggested in this paper is helpful to the well-known Vlasov's method.
作者 薛毅 薛大为
出处 《应用数学和力学》 CSCD 北大核心 1996年第12期1045-1050,共6页 Applied Mathematics and Mechanics
关键词 圆柱壳 定解方程 通解 偏微分方程 cylindriral shell, general solution, partial differential equation
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参考文献2

  • 1薛大为,板壳理论,1988年
  • 2Chien W Z,Quarterly of Applied Math,1944年,1卷,4期,297页

同被引文献6

  • 1王敏中,何北昌.胡海昌解的完备性的注记[J].应用数学和力学,1989,10(6):547-551. 被引量:4
  • 2Zhang Hong-qing and Fan En-gui. Applications of Mechanical Methods to Partial Differential Equations[A], In Mathematics Mechanization and Applications[C]. Edieded by Xiao-shan Gao end Dong-ming Wang. Academic Press, 2000.
  • 3Wu Wen-tsun. On the char-set methods and the linear equation method on non-linear polynomial equations-solving [J]. IWMM'92,1992,101-109.
  • 4REID G J, Algorithms for reducing a system of PDEs to standard form, determining its Taylor series solution [J], Euro J Appl Math, 1991, 2:293-318.
  • 5Schwarz F, An algorithm for linear differential equations to a passive form[J]. Computing, 1992,49.95- 115.
  • 6Topunov V L. Reducing systems of linear partial differential equations to a passive form Acta[J]. Appl, Math, 1989,16:191-206.

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