TRANSVERSE VIBRATIONS OF A LINEARLY TAPERED CANTILEVER BEAM WITH CONSTRAINING SPRINGS

被引：28

作者：

CRAVER, WL

JAMPALA, P

机构：

[1] Mechanical and Industrial Engineering Department, The University of Texas at El Paso, El Paso

来源：

JOURNAL OF SOUND AND VIBRATION | 1993年 / 166卷 / 03期

关键词：

Beams and girders - Constraint theory - Differential equations - Eigenvalues and eigenfunctions - Elasticity - Equations of motion - Mathematical models - Matrix algebra - Springs (components) - Structural analysis;

D O I：

10.1006/jsvi.1993.1310

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The free vibrations of a linearly tapered cantilever beam, elastically constrained at an arbitrary position along the length of the beam, have been investigated using the Bernoulli-Euler equation. The beam has a rectangular cross-section with equal taper in the horizontal and vertical planes, and the constraint is a translational spring. The characteristic determinant is derived in terms of dimensionless spring constant, and the eigenfrequencies are determined using a straight search and bisection method. The results are presented in tabular and graphical form. © 1993 Academic Press Limited.

引用

页码：521 / 529

页数：9

共 14 条

[1]

Adler, 1956, J APPL MECH, V23, P103, DOI 10.1115/1.4011215

[2]

AKESSON B, 1987, J SOUND VIBRATION, V120, P457

[3]

Conway H.D., 1964, J APPL MECH-T ASME, V31, P329

[4]

CRAVER WL, 1987, 11TH P CAN C APPL ME, pA120