Abstract
Double-deck reticulated shells are a main form of large space structures. One of the shells is the diagonal square pyramid reticulated shallow shell, whose its upper and lower faces bear most of the load but its core is comparatively flexible. According to its geometrical and mechanical characteristics, the diagonal square pyramid reticulated shallow shell is treated as a shallow sandwich shell on the basis of three basic assumptions. Its constitutive relations are analyzed from the point of view of energy and internal force equivalence. Basic equations of the geometrically nonlinear bending theory of the diagonal square pyramid reticulated shallow shell are established by means of the virtual work principle.
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References
DONG Shi-lin, XIA Heng-xi. Analysis of orthogonal and ortho-laid space truss as equivalent (sandwich) plate[J]. Journal of Civil Structure,1982,3(2):14–25. (in Chinese)
DONG Shi-lin, FAN Xiao-hong. Analysis of diagonal square pyramid space grids by sandwich plate analogy method[J]. Engineering Mechanics,1986,3(2):112–126. (in Chinese)
LIU Ren-huai, LI Dong, NIE Guo-hua, et al. Non-linear buckling of squarely-latticed shallow spherical shells[J]. International Journal of Non-Linear Mechanics,1991,26(5):547–565.
LIU Ren-huai, NIE Guo-hua. Nonlinear bending theory of reticulated shallow shells[J]. Journal of Jiangxi Polytechnic University,1991,13(2):186–192. (in Chinese)
LIU Ren-huai, NIE Guo-hua. Nonlinear free vibration of reticulated shallow shells[J]. Journal of Jiangxi Polytechnic University,1991,13(2):193–198. (in Chinese)
NIE Guo-hua, LIU Ren-huai, WENG Zhi-yuan. An investigation on the nonlinear bending and buckling of reticulated shallow shell structures[J]. Shanghai Journal of Mechanics,1994,15(2): 17–27. (in Chinese)
NIE Guo-hua, LIU Ren-huai. Non-linear elastic theory of rectangular reticulated shallow shell structures[J]. Applied Mathematics and Mechanics (English Ed),1994,15(5):413–423.
NIE Guo-hua, LIU Ren-huai. Nonlinear characteristic relationships of rectangular reticulated shallow shells[J]. China Civil Engineering Journal,1995,28(1):12–21. (in Chinese)
LIU Ren-huai, XIAO Tan. Nonlinear bending theory of double-deck orthogonal and ortho-laid reticulated shallow shells[A]. In:ZHUANG Feng-gan Ed. Modern Mechanics and Science Progress[C]. Beijing: Tsinghua University Press,1997,1212–1215. (in Chinese)
LIU Ren-huai, XIAO Tan. Nonlinear bending of double-deck reticulated shallow shells[J]. Journal of Jinan University,1998,19(3):1–5. (in Chinese)
LIU Ren-huai, XIAO Tan. Nonlinear buckling of double-deck reticulated shallow shells[J]. Journal of Jinan University,1999,20(1):1–6. (in Chinese)
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Xiao, T., Liu, Rh. Nonlinear Bending Theory of Diagonal Square Pyramid Reticulated Shallow Shells. Applied Mathematics and Mechanics 22, 747–755 (2001). https://doi.org/10.1023/A:1016388714833
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DOI: https://doi.org/10.1023/A:1016388714833