Vibration of non-uniform rod using Differential Transform Method

被引：2

作者：

Shali, S. ^{[1
]}

Nagaraja, S. R. ^{[2
]}

Jafarali, P. ^{[3
]}

机构：

[1] Amrita Univ, Amrita Vishwa Vidyapeetham, Amrita Sch Engn, Dept Civil Engn, Bengaluru, India

[2] Amrita Univ, Amrita Vishwa Vidyapeetham, Amrita Sch Engn, Dept Mech Engn, Bengaluru, India

[3] Kuwait Inst Sci Res, Kuwait, Kuwait

来源：

INTERNATIONAL CONFERENCE ON MATERIALS, ALLOYS AND EXPERIMENTAL MECHANICS (ICMAEM-2017) | 2017年 / 225卷

关键词：

LONGITUDINAL VIBRATION; SECTIONS;

D O I：

10.1088/1757-899X/225/1/012027

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The present paper analyses the vibration characteristics of non-uniform rods using Differential Transform Method. The method is very effective in solving ordinary and partial differential equations. The governing equations are transformed into a set of polynomials and the solution of these algebraic equations gives the desired frequency. Method is implemented for fix-free and fix-fix end conditions of a non-uniform rod. It is seen that the lower modes are sensitive to taper ratio in case of fix-free rod and fix-fix case frequency is same as that of uniform rod for different taper ratios. The method has proved to be accurate, simple and effective for eigenvalue analysis.

引用

页数：7

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