Closed-form solutions for natural frequency for inhomogeneous beams with one sliding support and the other clamped

被引：8

作者：

Elishakoff, I ^{[1
]}

Becquet, R

机构：

[1] Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA

[2] Inst Francais Mecan Avancee, Lab Rech & Applicat Mecan Avancee, F-63175 Aubiere, France

来源：

JOURNAL OF SOUND AND VIBRATION | 2000年 / 238卷 / 03期

关键词：

Clamping devices - Elastic moduli - Mathematical techniques - Natural frequencies - Supports - Vibrations (mechanical);

D O I：

10.1006/jsvi.2000.3010

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Closed-form solutions for natural frequency of inhomogeneous beams were obtained. The beams under consideration had sliding support on one end and the other end was clamped. The mode shape of the vibrating beam was postulated which represented a polynomial function satisfying all boundary conditions. The expression for the natural frequency obtained within this formulation coincided with its counterparts irrespective of the boundary conditions.

引用

页码：540 / 546

页数：7

共 5 条

[1] NATURAL FREQUENCIES OF BEAMS UNDER COMPRESSIVE AXIAL LOADS [J].