The thermal bend of RTP with one edge clamped and two edges simply supported and one edge free

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• 作者：Xuansheng Cheng (1)
  Jun Nie (1)
  Liang Zhao (1)
  Wei Shi (1)
  
  1. School of Civil Engineering ; Lanzhou University of Technology ; Lanzhou ; 730050 ; China
  
• 关键词：One edge clamped ; two edges simply supported ; and one edge free ; Rectangular thin plate ; Temperature ; Deflection ; Bending moment
• 刊名：Archive of Applied Mechanics (Ingenieur Archiv)
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：85
• 期：2
• 页码：287-302
• 全文大小：504 KB
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  6. Cheng X.S., Du Y.F., Li H.: Analytic solution to rectangular thin plate with three clamped edges and one simply supported edge under temperature disparity. Adv. Struct. Eng. 8, 789鈥?94 (2006)
  7. Cheng X.S., Du Y.F., Li H.: Discuss of analytic solution about rectangular thin plate with four clamped edges under temperature disparity. Spec. Struct. 23(4), 42鈥?5 (2006)
  8. Cheng X.S., Du Y.F., Li H.: A discussion on the analytical solution of rectangular thin slab under temperature load with four simply supported edges. Mech. Eng. 28(6), 28鈥?2 (2006)
  9. Cheng X.S., Du Y.F., Li H. et聽al.: Analytic solution about rectangular thin slab with three simply supported edges and one clamped edge under temperature load. Low Temp. Archit. Technol. 4, 59鈥?1 (2007)
  10. Cheng X.S., Du Y.F., Li H. et聽al.: The analytical solution about rectangular thin slab with three clamped edges and one simply supported edges under temperature load. Struct. Environ. Eng. 34(4), 8鈥?3 (2007)
  11. Cheng X.S., Du Y.F., Li H. et聽al.: The analytical solution about thin rectangular slab with two opposite clamped edges and two opposite simply supported edges under temperature loads. J. Gansu Sci. 19(2), 39鈥?3 (2007)
  12. Cheng X.S., Du Y.F., Li H.: An analytic solution for rectangular thin slab with two adjacent clamped edges and two adjacent simply supported edges under temperature loads. J. Gansu Sci. 20(1), 116鈥?18 (2008)
  13. Cheng X.S., Du Y.F., Li H., Su J.X.: The analytical Solution about rectangular thin slab with two opposite edges clamped and two opposite edges simply supported under temperature load. Proc. Tenth Int. Symp. Struct. Eng. Young Expert 10, 213鈥?17 (2008)
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  17. Cheng X.S., Du X.L., Zhang G.W. et聽al.: The thermal bend of concrete rectangular thin plate with three simply supported sides and one free side. Chin. J. Appl. Mech. 30(1), 37鈥?2 (2013)
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• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics
  Complexity
  Fluids
  Thermodynamics
  Systems and Information Theory in Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0681

文摘

Small-deflection plate theory and superposition principle, with consideration of temperature variation that is perpendicular to the surface, reveal that a rectangular thin plate (RTP) with one edge clamped, two edges simply supported, and one edge free under temperature disparity can be regarded as a superposition of an RTP with three simply supported edges and one free edge under temperature disparity and an RTP with three simply supported edges and one free edge under bending moment on one edge. First, by supposing the deflection function that has undetermined parameters at the free edge and by adopting the Levy method, the closed solution for an RTP with three simply supported edges and one free edge is obtained. Second, the closed solution for an RTP with three simply supported edges and one free edge is obtained under temperature disparity. Third, with the use of the solution for an RTP with four simply supported edges under bending moment on one edge, the solution for an RTP with three simply supported edges and one free edge under bending moment on one edge is obtained. Finally, the deflection and bending analytical solution for an RTP with one edge clamped, two edges simply supported, and one edge free under temperature disparity is obtained by adopting the superposition principle. The calculation coefficient table for a concrete RTP with one edge clamped, two edges simply supported, and one edge free under temperature disparity is established by using MATLAB. Thus, a theoretical calculation based on a concrete RTP with one edge clamped, two edges simply supported, and one edge free under temperature disparity in an engineering structure is provided for engineering design.