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简支矩形厚板的Lame方程解

LAME EQUATION SOLUTION TO THICK RECTANGULAR PLATE OF SIMPLE SUPPORT
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摘要 本文从Lame方程出发,选取位移函数,求得垂直荷载作用下简支矩形厚板的完整的应力、位移表达式。与Navier的薄板理论解作了比较。由于没有采用Kirchhoff假定,在薄板范围内,本文解给出了比Navier解精确的结果。 In this paper, the complete expressions of stress and displaeement of thick rectangular plate of simple support subjected to vertical load are derived from Lame Equation by selecting a displacement function. And the comparison of the solution with that of Navier relating to thin plate is also given in this paper. Since the hypothesis of Kirchhoff is not adopted, more accurate result than Navier's is obtained within the range of the thin plate.
作者 潘岳 杨文成
出处 《青岛理工大学学报》 CAS 1989年第2期87-94,共8页 Journal of Qingdao University of Technology
关键词 简支矩形厚板 位移函数 Lame方程 thick rectangular plate of simple support displacement function Lame equation
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参考文献1

  • 1K. T. Sundara Raja Iyengar,K. Chandrashekhara,V. K. Sebastian. On the analysis of thick rectangular plates[J] 1974,Ingenieur - Archiv(5):317~330

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