THERMAL POST—BUCKLING OF AN ELASTIC BEAMS SUBJECTED TO A TRANSVERSELY NON—UNIFORM TEMPERATURE RISING

• Published in: Applied mathematics and mechanics Vol. 24; no. 5; pp. 514 - 520
• Main Author: 李世荣 程昌钧 周又和
• Format: Journal Article
• Language: English
• Published: Department of Basic Science, Gansu University to Technology, Lanzhou 730050, P.R. China 01.05.2003; Department of Mechanics, Lanzhou University, Lanzhou 730000, P.R. China%Department of Mechanics, Shanghai University, Shanghai 200436, P.R. China%Department of Mechanics, Lanzhou University, Lanzhou 730000, P.R. China
• Subjects: shooting方法; 平衡路径; 弹性梁; 数值方法; 横向温度变化; 热后弯曲; 非线性几何; elastic beam; numerical solution; shoothng method; thermal post-buckling; transverse temperature change
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/bf02435863

Based on the nonlinear geometric theory of axially extensible beams and by using the shooting method,the thermal post-buckling responses of an elastic beams,with immovably simply supported ends and subjected to a transversely non-uniformly distributed temperature rising,were investigated.Especially,the influences of the transverse temperature change on the thermal psot-buckling deformations were examined and the corresponding characteristic curves were poltted.The numerical results show that the equilibrium paths of the beam are similar to what of an initially deformed beam because of the thermal bending moment produced in the beam by the transverse temperature change.