STABILITY PROPERTIES OF A VISCOELASTIC COLUMN UNDER A PERIODIC FORCE

被引：38

作者：

CEDERBAUM, G

MOND, M

机构：

[1] The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1992年 / 59卷 / 01期

关键词：

D O I：

10.1115/1.2899424

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The dynamic stability of a viscoelastic column subjected to a periodic longitudinal load is investigated. The viscoelastic behavior is given in terms of the Boltzmann superposition principle which yields an integro-differential equation of motion. The stability boundaries of this equation are determined analytically by using the multiple-scales method. It is shown that due to the viscoelasticity the stability regions are expanded, relative to the elastic ones, and the time for which a stable system becomes unstable is given. In addition, the stability properties of the viscoelastic column are time dependent and an initially stable system can turn unstable after a finite time, unlike columns that are described by the elastic model.

引用

页码：16 / 19

页数：4

共 11 条

[1] DYNAMIC STABILITY ANALYSIS OF VISCOELASTIC PLATES BY LYAPUNOV EXPONENTS [J].

ABOUDI, J ;

CEDERBAUM, G ;

ELISHAKOFF, I .

JOURNAL OF SOUND AND VIBRATION, 1990, 139 (03) :459-467

[2]

BENDER CM, 1984, ADV MATH METHODS SCI

[3]

Bolotin V, 1962, AM J PHYS

[4]

Evan-Iwanowski R. M., 1965, APPL MECH REV, V18, P699

[5]

EVANIWANOVSKI RM, 1976, RESONANT OSCILLATION

[6]

GLOCKNER P, 1987, ENCY CIVIL ENG PRACT, V1, pCH23

[7]

Matyash V. L., 1967, MECHANICS POLYM, V2, P293

[8]

MCLACHLAN NW, 1964, THEORY APPLICATION M

[9]

STEVENS KK, 1966, AIAA J, V12, P2111

[10]

SZYSZKOWSKI W, 1985, INT J SOLIDS STRUCT, V6, P545

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