Asymptotic Approach to Free Beam Vibration Analysis

被引：3

作者：

Kostin, G. V. ^{[2
]}

Saurin, V. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Problems Mech, Lab Mech Optimizat Struct, Moscow, Russia

[2] Russian Acad Sci, Inst Problems Mech, Lab Mech Controlled Syst, Moscow, Russia

来源：

JOURNAL OF AEROSPACE ENGINEERING | 2009年 / 22卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Aerospace engineering; Beams; Displacement; Elasticity; Vibration;

D O I：

10.1061/(ASCE)0893-1321(2009)22:4(456)

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

The equations described free longitudinal and lateral vibrations of the rectilinear elastic beams with the rectangular cross section are derived based on the theory of linear elasticity and the method of integrodifferential relations. The original system of partial differential equations is reduced to the system of ordinary differential equations with constant coefficients. The influence of geometrical and elastic properties of the beam on eigenvalues and eigenfunctions are investigated. The existence of the different displacement and internal stress types of the longitudinal motions are shown. The presence of two frequency zones corresponded to different kinds of the characteristic solutions for the lateral vibrations is detected.

引用

页码：456 / 459

页数：4