PLASTIC DYNAMIC STABILITY OF A COLUMN UNDER NONCONSERVATIVE FORCES

Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (4): 399-405.

PLASTIC DYNAMIC STABILITY OF A COLUMN UNDER NONCONSERVATIVE FORCES

揭敏

Department of Mechanics, Huazhong University of Sciences & Technology, Wuhan 430074, P. R. China

收稿日期:1995-02-22 修回日期:1995-08-10 出版日期:1997-04-18 发布日期:1997-04-18

PLASTIC DYNAMIC STABILITY OF A COLUMN UNDER NONCONSERVATIVE FORCES

Jie Min

Department of Mechanics, Huazhong University of Sciences & Technology, Wuhan 430074, P. R. China

Received:1995-02-22 Revised:1995-08-10 Online:1997-04-18 Published:1997-04-18

摘要/Abstract

摘要： In this paper Liapunov’s second method is used to analyze the plastic dynamicstability of a column under nonconservative forces. The column is in a viscous medium, andunder the action of uniformly distributed tangential follower forces. The strain-rate effecton the stress-strain relation of materials is included in the analysis. A condition of stabilityis derived. and the critical buckling food is obtained. The strain-rate effect on the stabilityof the column is discussed.

关键词: Nonconservative forces, column, plastic stability

Abstract: In this paper Liapunov’s second method is used to analyze the plastic dynamicstability of a column under nonconservative forces. The column is in a viscous medium, andunder the action of uniformly distributed tangential follower forces. The strain-rate effecton the stress-strain relation of materials is included in the analysis. A condition of stabilityis derived. and the critical buckling food is obtained. The strain-rate effect on the stabilityof the column is discussed.

Key words: Nonconservative forces, column, plastic stability

揭敏. PLASTIC DYNAMIC STABILITY OF A COLUMN UNDER NONCONSERVATIVE FORCES[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(4): 399-405.

Jie Min. PLASTIC DYNAMIC STABILITY OF A COLUMN UNDER NONCONSERVATIVE FORCES[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(4): 399-405.

[1]	C. Q. RU. A simple criterion for finite time stability with application to impacted buckling of elastic columns[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(3): 305-316.
[2]	欧阳煜杨骁包若涵. Nonlinear stability of timber column strengthened with fiber reinforced polymer[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(7): 903-916.
[3]	朱媛媛胡育佳程昌钧. Analysis of nonlinear stability and post-buckling for Euler-type beam-column structure[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(6): 719-728.
[4]	姚文娟;叶志明. ANALYTICAL SOLUTION OF BENDING-COMPRESSION COLUMN USING DIFFERENT TENSION-COMPRESSION MODULUS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(9): 983-993.
[5]	根国;朱正佑;程昌钧. DYNAMICAL STABILITY OF VISCOELASTIC COLUMN WITH FRACTIONAL DERIVATIVE CONSTITUTIVE RELATION[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(3): 294-303.
[6]	陈立群;程昌钧. STABILITY AND CHAOTIC MOTION IN COLUMNS OF NONLINEAR VISCOELASTIC MATERIAL[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(9): 987-994.
[7]	谢用九;宁钦海;陈明伦. THE APPROXIMATE ANALYTICAL SOLUTION FOR THE BUCKLING LOADS OF A THIN-WALLED BOX COLUMN WITH VARIABLE CROSS-SECTION[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(5): 445-456.
[8]	程尧舜;卢文达;方红. PLASTIC POST-BUCKLING OF A SIMPLY SUPPORTED COLUMNWITH A SOLID RECTANGULAR CROSS-SECTION[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(8): 713-722.
[9]	揭敏. A SIMPLIFIED OVER-STRESS ANALYTICAL MODEL OF THE DYNAMIC BUCKLING OF A PERFECTLY PLASTIC COLUMN UNDER AXIAL IMPACT[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(6): 607-610.

PLASTIC DYNAMIC STABILITY OF A COLUMN UNDER NONCONSERVATIVE FORCES

PLASTIC DYNAMIC STABILITY OF A COLUMN UNDER NONCONSERVATIVE FORCES

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 9

编辑推荐

Metrics

本文评价