The Calculating Method of Dynamic Analysis of Beams with Variable Cross-Section Based on the Transfer Matrix Method

2016 ◽  
Vol 106 (12) ◽  
pp. 229-238
Author(s):  
Yuan WANG ◽  
Ruili SHEN ◽  
Tao WANG
Keyword(s):  
Dynamic Analysis ◽  
Transfer Matrix ◽  
Cross Section ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Calculating Method

scholarly journals Torsional vibration of suspension bridge with a variable cross section

1981 ◽  
Vol 3 (2) ◽  
pp. 22-26
Author(s):  
Nguyen Van Tinh
Keyword(s):  
Computer Program ◽  
Transfer Matrix ◽  
Cross Section ◽  
Cross Sections ◽  
Torsional Vibration ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Suspension Bridge ◽  
Variable Cross Section ◽  
Variable Cross

The transfer matrix method to torsion’ al vibrations of a suspension bridge with variable cross sections is reported. The method described above is particularly suitable for implementing an efficient computer program. A numerical example is also givens.

A Transfer Matrix Method for Free Vibration Analysis of Tapering Pipe

2019 ◽  
Author(s):  
Qingna Zeng ◽  
Fenggang Zang ◽  
Yixiong Zhang ◽  
Donghui Wang
Keyword(s):  
Bessel Function ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Low Frequency ◽  
Free Vibration Analysis ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Nature Frequency ◽  
Discrete Uniform

Abstract In this paper, theoretical solutions of free transverse vibration for tapering pipe considering variable cross section have been investigated using Bessel function in low frequency domain. Natural frequency was calculated by transfer matrix method (TMM) based on an accurate theoretical model. The effectiveness and validity of TMM with Bessel function was confirmed in comparison with TMM of discrete uniform pipe and Finite Element Method. Furthermore, dimensionless model was proposed to avoid the singularity, instability and overflow in calculation. The geometry effect, such as tapering ratio, thickness-radius and length-radius ratio influence on the nature frequency was explored. The present study was envisaged to provide useful insights for dynamic analysis of pipeline systems.

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