中厚板热后屈曲分析
Thermal Postbuckling Analytis of Moierately Thick Plates
-
摘要: 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。Abstract: A thernml postbuckling analysis is presenled for a moderately thick rectangular plale slthjeeled to(I) uniform and non-uniform tent-like temperature loading:and(2) combined axial compression and uniform temperature loading.The initial geometrical imperfection of plate is taken into accaunt.The formulations are based on the Reissner-Mindlin plale theory considering the effects of rotarl inertia and transverse shear deformation.The analysis uses a deflection-type perturbation technique to determine the thermal bucklittg loads attd postbuckling equilibrium paths.Numerical examples are presented that relate to the performances of perfect and imperfet.moderately thick rectangular plates and are compared with the results predicted by the thin plate theory.
-
[1] L.W.Chen,E.J.Brunelle and L.Y.Chen,Thermal buckling of initial stressed thick plates,J.Mech.Des.,104(1982),557-564. [2] I.H.Yang and J.A.Shien,Generic thermal buckling of initial stressed antisymmetric cross-ply thick laminates,bit.J.Solids Structures,24(1988),1059-1070. [3] T.R.Tauchert,Thermalbuckling of thick antisymmetric angleply laminates,J.Therm.Stresses,10(1987),113-124. [4] L.X.Sun and T.R.Hsu,Thermal buckling of laminated composite plates with transverse shear deformation,Computers&Structures.36(1990),883-889. [5] W.J.Chem P.D.Lin and L.W.Chen,Thermal buckling behavior of thick composite laminated plates under nonuniform temperature distribution,Computers&Struclures,41(1991),637-645. [6] L.Librescu and M.A.Souza,Postbuckling of geometrically imperfect shear-deformable flat panels under combined thermal and compressive edge loadings,J.Appl.Mech.,60(1993),526-533. [7] 沈惠申,中厚板的弹性屈曲和后屈曲,应用数学和力学,11(4)(1990),341-350. [8] 沈惠申、张建武,单向压缩简支矩形板后屈曲摄动分析,应用数学和力学,9(8)(1988),741-752. [9] K.K.Raju and G.V.Rao,Thermal postbuckling of a square plate resting on an elastic foundation by finite element method,Computers&Structures,28(1988),195-199. [10] K.K.Raju and G.V.Rao,Thermal post buckling of thin simply supported orthotropic square plates,Compostie Structures,12(1989),149-154.
点击查看大图
计量
- 文章访问数: 2065
- HTML全文浏览量: 60
- PDF下载量: 537
- 被引次数: 0