APPLICATION OF THE KREIN METHOD FOR DETERMINATION OF NATURAL FREQUENCIES OF PERIODICALLY SUPPORTED BEAM BASED ON SIMPLIFIED BRESSE-TIMOSHENKO EQUATIONS

被引：32

作者：

ABRAMOVICH, H ^{[1
]}

ELISHAKOFF, I ^{[1
]}

机构：

[1] UNIV NOTRE DAME,DEPT AEROSP & MECH ENGN,NOTRE DAME,IN 46556

来源：

ACTA MECHANICA | 1987年 / 66卷 / 1-4期

关键词：

STRUCTURAL ANALYSIS - Elasticity - STRUCTURAL DESIGN - Mathematical Models;

D O I：

10.1007/BF01184284

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Free vibration of a periodically supported (multispan) beam in via a simplified Bresse-Timoshenko theory is studied by the Krein's method suggested in 1933 for the Bernoulli-Euler beams. Approximate differential equations are utilized with both shear deformations and rotary inertia included. Detailed analytical and numerical analysis are performed for the natural frequencies of beams with different boundary conditions at their ends. Following Krein, the continuity requirements at the intermediate supports are treated as equations in finite differences and solved exactly. Extensive numerical results are reported for three-, five- and ten-span beams.

引用

页码：39 / 59

页数：21