Wave Propagation Analysis in Beams Using Shear Deformable Beam Theories Considering Second Spectrum

2017 ◽  
Vol 34 (3) ◽  
pp. 279-289 ◽  
Author(s):  
U. Gul ◽  
M. Aydogdu
Keyword(s):  
Wave Propagation ◽  
Timoshenko Beam ◽  
Qualitative Difference ◽  
Beam Theory ◽  
Plane Elasticity ◽  
Dispersion Curves ◽  
Timoshenko Beam Theory ◽  
Propagation Analysis ◽  
Elasticity Solutions ◽  
Beam Theories

AbstractIn this study, wave propagation in beams is studied using different beam theories like Euler-Bernoulli, Timoshenko and Reddy beam theories. Dispersion curves obtained for these beam theories are compared with the exact plane elasticity solutions. It is obtained that, there are two branches for Reddy beam theory similar to the Timoshenko beam theory. However, one branch is obtained for Euler-Bernoulli beam theory. The effects of in-plane load on Timoshenko and Reddy beam theories are examined and dispersion curves of the Timoshenko and Reddy beams are compared with exact plane elasticity solution. In Timoshenko beam theory, qualitative difference between the two spectrums has been lost with in-plane loads for some wave numbers.

An Investigation on Thermomechanical Flexural Response of Shape-Memory-Polymer Beams

2016 ◽  
Vol 08 (05) ◽  
pp. 1650063 ◽  
Author(s):  
Masoud Molaaghaie-Roozbahani ◽  
Navid Heydarzadeh ◽  
Mostafa Baghani ◽  
Amir Hossein Eskandari ◽  
Majid Baniassadi
Keyword(s):  
Shape Memory ◽  
Timoshenko Beam ◽  
Shape Memory Polymer ◽  
Beam Theory ◽  
Timoshenko Beam Theory ◽  
Beam Length ◽  
Governing Equations ◽  
Thermomechanical Cycle ◽  
Beam Thickness ◽  
Beam Theories

In this paper, the predictions of different beam theories for the behavior of a shape memory polymer (SMP) beam in different steps of a thermomechanical cycle are compared. Employing the equilibrium equations, the governing equations of the deflection of a SMP beam in the different steps of a thermomechanical cycle, for higher order beam theories (Timoshenko Beam Theory and von-Kármán Beam Theory), are developed. For the Timoshenko Beam Theory, a closed form analytical solution for various steps of the thermomechanical cycle is presented. The nonlinear governing equations in von-Kármán Beam theory are numerically solved. Results reveal that in the various beam length to beam thickness ratios, one of the beam theories provides the most accurate results. In other words, employing the Euler–Bernoulli Beam Theory for developing the governing equations, especially in the large and small beam length to beam thickness ratios, leads to erroneous results.

Dynamic Mechanical Properties of Spirally Wound Paper Tubes

1989 ◽  
Vol 111 (4) ◽  
pp. 489-490 ◽  
Author(s):  
L. C. Bank ◽  
T. D. Gerhardt ◽  
J. H. Gordis
Keyword(s):  
Mechanical Properties ◽  
Timoshenko Beam ◽  
Beam Theory ◽  
Dynamic Mechanical Properties ◽  
Timoshenko Beam Theory ◽  
Dynamic Mechanical ◽  
Stiffness Properties ◽  
Free Mode ◽  
Euler Bernoulli Beam ◽  
Beam Theories

The use of experimental modal analysis to obtain the dynamic mechanical properties of spirally wound paper tubes is investigated. Based on experimentally measured natural frequencies in the free-free mode of transverse vibration, tube flexural stiffness properties are predicted using three beam theories: Euler-Bernoulli beam theory, Timoshenko beam theory for isotropic materials, and Timoshenko beam theory for anisotropic materials.

Exact Dynamic Analysis of Space Structures Using Timoshenko Beam Theory

AIAA Journal ◽  
2004 ◽  
Vol 42 (4) ◽  
pp. 833-839 ◽  
Author(s):  
Jen-Fang Yu ◽  
Hsin-Chung Lien ◽  
B. P. Wang
Keyword(s):  
Dynamic Analysis ◽  
Timoshenko Beam ◽  
Beam Theory ◽  
Timoshenko Beam Theory ◽  
Space Structures

Optimal design of high-g MEMS piezoresistive accelerometer based on Timoshenko beam theory

2017 ◽  
Vol 24 (2) ◽  
pp. 855-867 ◽  
Author(s):  
Feng Liu ◽  
Shiqiao Gao ◽  
Shaohua Niu ◽  
Yan Zhang ◽  
Yanwei Guan ◽  
...  
Keyword(s):  
Optimal Design ◽  
Timoshenko Beam ◽  
Beam Theory ◽  
Timoshenko Beam Theory

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.

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