复合载荷下环形薄板的热屈曲*
Thermal-Bucking of Thin Annular Plates under Multiple Loads
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摘要: 基于von K×rm×n薄板大挠度方程,本文研究了经受非均匀轴对称温度场的环形薄板在多种边界条件下的热屈曲问题.采用分析与计算相结合的方法着重讨论了热屈曲的线性化问题,获得了反映环板失稳特征的稳定边界.Abstract: On the basis of Von Karman equations, the thermal-buckling of thin annular plates subjected to a field of non-uniform axisymmetric temperature and a variety of boundary conditions is discussed. The linearized problem is analyzed and stability boundaries which characterize instability of oplate are obtainedby means of numerical and analysis methods.
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Key words:
- annular plates /
- thermal-buckling /
- linearized problem /
- critical load surface /
- stability boundary
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[1] Nowinski,J.L.,Theory of Thermalelasticity with Applications,Alphen aan den Rijn:Sijthoff and Noordhoff(1978),547-570. [2] 竹内洋一郎,《热应力》(郭廷玮、李安定译).中国科学出版社,北京(1977),358- 378 [3] Kanaka Raju,K.and G.Venkateswara Rao,Thermal-postabuckling of circular plates.Comput.Struct.,18(1984),1179-1182. [4] Tani,J.,Thermal buckling of an annular plate with axisymetric initial deflection,J.Appl.Mech.,45(1978),693-695. [5] Tani,J.,Elastic instability of a heated annular Plate under Lateral pressure,J.Appl.Mech.,48(1981),399-403. [6] Prabha,M.S.S.,S.Durvasula,Thermal buckling of skew plates,Can.Aeronant.and Space J.,20(1974),111-113. [7] 程昌钧、朱正佑.环板的屈曲状态.中国科学(A辑).24 (1986).956-965 [8] 吕小安、程昌钧、李世荣,正交各向异性环板的屈曲.应用数学和力学(待发表) -
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