Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Structural Engineering and Mechanics Volume 55, Number 4, August25 2015 , pages 871-884 DOI: https://doi.org/10.12989/sem.2015.55.4.871 |
|
|
|
Effects of rotary inertia shear deformation and non-homogeneity on frequencies of beam |
||
Mehmet Avcar
|
||
| Abstract | ||
| In the present study, separate and combined effects of rotary inertia, shear deformation and material non-homogeneity (MNH) on the values of natural frequencies of the simply supported beam are examined. MNH is characterized considering the parabolic variations of the Young\'s modulus and density along the thickness direction of the beam, while the value of Poisson\'s ratio is assumed to remain constant. At first, the equation of the motion including the effects of the rotary inertia, shear deformation and MNH is provided. Then the solutions including frequencies of the first three modes for various combinations of the parameters of the MNH, depth to length ratios, and shear corrections factors are reported. To show the accuracy of the present results, two comparisons are carried out and good agreements are found. | ||
| Key Words | ||
| rotary inertia; shear deformation; material non-homogeneity; natural frequency; beam | ||
| Address | ||
| Mehmet Avcar: Department of Civil Engineering, Faculty of Engineering, Suleyman Demirel University, Cunur, Isparta, Turkey | ||