ON LONGITUDINAL VIBRATIONS OF A SEMI-INFINITE VOIGT-KELVIN ROD WITH NON-UNIFORM VISCOELASTIC PROPERTIES

被引：2

作者：

MADAN, VP

机构：

[1] Department of Mathematics, University of Alberta, Edmonton, Alta.

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1969年 / 28卷 / 01期

关键词：

D O I：

10.1016/0022-247X(69)90110-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The case of a longitudinal motion of harmonic vibrations in a semi-infinite rod of Voigt-Kelvin material with non-uniform viscoelastic properties is examined. The physical parameters E and λ are now a function of x. Closed form solutions are obtained for displacement and the amplitude by solving a system of two nonlinear ordinary differential equations characterizing the motion. © 1969.

引用

页码：88 / &

共 10 条

[1]

FAVRE H, 1966, J MECANIQUE, V3, P251

[2]

GROSS B, 1953, MATHEMATICAL STRUCTU

[3]

KANTER I, 1953, J APPL PHYS, V24, P1115

[4]

KOLOVSKII MZ, 1966, NONLINEAR THEORY VIB

[5] A COMPARISON OF THE PROPAGATION OF LONGITUDINAL WAVES IN RODS OF VISCOELASTIC MATERIALS [J].

LEE, EH ;

MORRISON, JA .

JOURNAL OF POLYMER SCIENCE, 1956, 19 (91) :93-110

[6]

MADAN VP, 1968, THESIS U TORONTO

[7]

Morrison J. A., 1956, Quarterly of Applied Mathematics, V14, P153, DOI DOI 10.1090/QAM/78848

[8]

NEWMAN MK, 1959, J APPL MECH, V26, P367

[9]

PAN HH, 1966, J ENG MECH, V92, P213

[10]

PAPOV EP, 1960, APPROXIMATE METHODS

← 1 →