中厚板热后屈曲分析

Thermal Postbuckling Analytis of Moierately Thick Plates

依据Ｒｅｉｓｓｎｅｒ－Ｍｉｎｄｌｉｎ板理论考虑转动惯量和横向剪切变形影响，本文给出中厚板在（１）均布和非均布（线性）热荷载作用下，（２）单向压缩和均布热荷载共同作用下的后屈曲分析。采用摄动法导出完善和非完善中厚板的热屈曲载荷和热后屈曲平衡路径，并与经典薄板理论结果进行了比较。

A thermal postbuckling analysis is presented for a moderately thick rectan-gular plate subjected to (1) uniform and non-uniform tent-like teinperature load-ing; and (2) combined axial compression and uniform temperature loading. Theinitial geoinetrical imperfection of plate is taken into account. The formulationsare based on the Reissner-Mindlin plate theory considering the effects of rotaryinertia and transverse shear deformation. The analysis uses a deflection-type per-turbation techniqne to deterinine the thermal buckling loads and postbucklingequilibrium paths. Nuinerical exainples are presented that relate to the perform-ances of perfect and imperfect, moderately thick rectangular plates and arecompared with the results predicted by the thin plate theory.