scholarly journals Flexural vibration property of periodic pipe system conveying fluid based on Timoshenko beam equation

2009 ◽  
Vol 58 (12) ◽  
pp. 8357 ◽  
Author(s):  
Shen Hui-Jie ◽  
Wen Ji-Hong ◽  
Yu Dian-Long ◽  
Wen Xi-Sen
Keyword(s):  
Timoshenko Beam ◽  
Flexural Vibration ◽  
Beam Equation ◽  
Pipe System ◽  
Timoshenko Beam Equation ◽  
Conveying Fluid

Flexural Vibration Band Gap in a Periodic Fluid-Conveying Pipe System Based on the Timoshenko Beam Theory

2011 ◽  
Vol 133 (1) ◽  
Author(s):  
Dianlong Yu ◽  
Jihong Wen ◽  
Honggang Zhao ◽  
Yaozong Liu ◽  
Xisen Wen
Keyword(s):  
Finite Element Method ◽  
Band Gap ◽  
Timoshenko Beam ◽  
Beam Theory ◽  
Flexural Vibration ◽  
Timoshenko Beam Theory ◽  
Flexural Wave ◽  
Vibration Band ◽  
Frequency Range ◽  
Pipe System

The flexural vibration band gap in a periodic fluid-conveying pipe system is studied based on the Timoshenko beam theory. The band structure of the flexural wave is calculated with a transfer matrix method to investigate the gap frequency range. The effects of the rotary inertia and shear deformation on the gap frequency range are considered. The frequency response of finite periodic pipe is calculated with a finite element method to validate the gap frequency ranges.

Response of a Simply Supported Timoshenko Beam to a Purely Random Gaussian Process

1958 ◽  
Vol 25 (4) ◽  
pp. 496-500
Author(s):  
J. C. Samuels ◽  
A. C. Eringen
Keyword(s):  
Timoshenko Beam ◽  
Beam Theory ◽  
Beam Equation ◽  
Mean Square ◽  
Bending Stress ◽  
Random Loading ◽  
Simply Supported ◽  
The Mean ◽  
Timoshenko Beam Equation ◽  
Classical Beam Theory

Abstract The generalized Fourier analysis is applied to the damped Timoshenko beam equation to calculate the mean-square values of displacements and bending stress, resulting from purely random loading. Compared with the calculations, based on the classical beam theory, it was found that the displacement correlations of both theories were in excellent agreement. Moreover, the mean square of the bending stress, contrary to the results of the classical beam theory, was found to be convergent. Computations carried out with a digital computer are plotted for both theories.

Multiparameter Perturbation Solution of Algebraic Equations

1966 ◽  
Vol 33 (1) ◽  
pp. 218-219 ◽  
Author(s):  
W. F. Ames ◽  
J. F. Sontowski
Keyword(s):  
Power Series ◽  
Perturbation Method ◽  
Algebraic Equation ◽  
Timoshenko Beam ◽  
Perturbation Solution ◽  
Beam Equation ◽  
Algebraic Equations ◽  
Timoshenko Beam Equation

The classical perturbation method—the expansion of a solution of an algebraic equation as a power series in a parameter—is extended to an expansion in several parameters. An example concerning the Timoshenko beam equation is used to illustrate the ideas. Advantages of the procedure are discussed in the light of this example.

Some Solutions of the Timoshenko Beam Equation for Short Pulse-Type Loading

1958 ◽  
Vol 25 (3) ◽  
pp. 379-385
Author(s):  
H. J. Plass
Keyword(s):  
Timoshenko Beam ◽  
Short Pulse ◽  
Sine Wave ◽  
Beam Equation ◽  
Transform Method ◽  
The Laplace Transform ◽  
Support Conditions ◽  
Time Required ◽  
The Impact ◽  
Timoshenko Beam Equation

Abstract A collection of solutions to the Timoshenko beam equation is presented. Various types of support conditions and impact conditions are included. In every case the impact is assumed to be a pulse in the form of a half-sine wave. The results were found numerically, using the method of characteristics, except for one case, which was done in addition by the Laplace transform method, for check purposes. Agreement with experiment is good except for a pulse of duration comparable to the time required for the bending-type wave to travel a distance of one diameter. Discussion is included of the differences among the various cases studied.

Sign in / Sign up

Export Citation Format

Share Document