A CATASTROPHIC MODEL FOR VIBRATIONAL BUCKLING OF ELASTIC ARCHES

Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (12): 1171-1174.

A CATASTROPHIC MODEL FOR VIBRATIONAL BUCKLING OF ELASTIC ARCHES

沈茂山, 魏德敏

Taiyuan University of Technology, Taiyuan

收稿日期:1989-11-09 出版日期:1990-12-18 发布日期:1990-12-18

A CATASTROPHIC MODEL FOR VIBRATIONAL BUCKLING OF ELASTIC ARCHES

Shen Mao-shan, Wei De-min

Taiyuan University of Technology, Taiyuan

Received:1989-11-09 Online:1990-12-18 Published:1990-12-18

摘要/Abstract

摘要： This paper represents an attempt at the application of catastrophe theory to the dynamic stability of engineering structures. The authors not only obtain a catastrophic model of vibrational buckling of elastic arches, but also give the critical condition of losing stability.

关键词: catastrophe, cusp catastrophe, hysteresis, inaccessibility, bifurcation set

Abstract: This paper represents an attempt at the application of catastrophe theory to the dynamic stability of engineering structures. The authors not only obtain a catastrophic model of vibrational buckling of elastic arches, but also give the critical condition of losing stability.

Key words: catastrophe, cusp catastrophe, hysteresis, inaccessibility, bifurcation set

沈茂山;魏德敏. A CATASTROPHIC MODEL FOR VIBRATIONAL BUCKLING OF ELASTIC ARCHES[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(12): 1171-1174.

Shen Mao-shan;Wei De-min. A CATASTROPHIC MODEL FOR VIBRATIONAL BUCKLING OF ELASTIC ARCHES[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(12): 1171-1174.

[1]	Lincong CHEN, Zi YUAN, Jiamin QIAN, J. Q. SUN. Random vibration of hysteretic systems under Poisson white noise excitations[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 207-220.
[2]	Haoliang LI, Yicheng SONG, Bo LU, Junqian ZHANG. Effects of stress dependent electrochemical reaction on voltage hysteresis of lithium ion batteries[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(10): 1453-1464.
[3]	马田田;韦昌富;陈盼;魏厚振. Implicit scheme for integrating constitutive model of unsaturated soils with coupling hydraulic and mechanical behavior[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(9): 1129-1154.
[4]	潘岳;赵志刚. Analysis of main shock of thrust fault earthquake by catastrophe theory[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(7): 845-864.
[5]	潘岳李爱武. Fold catastrophe model of strike-slip fault earthquake[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(3): 349-362.
[6]	魏德敏;杨桂通. NONLINEAR DYNAMIC STABILITY OF COMPOSITE LAMINATED PLATES[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(11): 1215-1219.
[7]	任九生;程昌钧;朱正佑. CAVITY FORMATION AT THE CENTER OF A SPHERE COMPOSED OF TWO COMPRESSIBLE HYPER-ELASTIC MATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(9): 1009-1016.
[8]	任九生;程昌钧. CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(8): 881-888.
[9]	董力耘;薛郁;戴世强. ONE-DIMENSIONAL CELLULAR AUTOMATON MODEL OF TRAFFIC FLOW BASED ON CAR-FOLLOWING IDEA[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(4): 363-370.
[10]	魏德敏;杨桂通. CATASTROPHE FRACTURE OF THIN-WALL PRESSURE TUBES[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 146-149.
[11]	高正红. RESEARCH ON THE HYSTERESIS PROPERTIES OF UNSTEADY AERODYNAMICS ABOUT THE OSCILLATING WINGS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(8): 895-907.
[12]	霍永忠. INTERNAL VARIABLES AND THERMODYNAMIC MODELLING OF PSEUDOELASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(10): 969-978.
[13]	潘一山;章梦涛;李国臻. THE STUDY OF CHAMBER ROCKBURST BY THE CUSP MODELOF CATASTROPHE THEORY[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(10): 943-951.
[14]	吴陈. PANSYSTEMS LOGIC CONSERVATION OF BIFURCATION,CATASTROPHE, CHAOS AND STABILITY[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(4): 367-370.
[15]	沈家骐. APPLICATIONS OF THE SIGNS OF MELNIKOV'S FUNCTION[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(10): 947-950.

A CATASTROPHIC MODEL FOR VIBRATIONAL BUCKLING OF ELASTIC ARCHES

A CATASTROPHIC MODEL FOR VIBRATIONAL BUCKLING OF ELASTIC ARCHES

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价