Effects of rotary inertia shear deformation and non-homogeneity on frequencies of beam
STRUCTURAL ENGINEERING AND MECHANICS, cilt.55, sa.4, ss.871-884, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 55 Sayı: 4
- Basım Tarihi: 2015
- Doi Numarası: 10.12989/sem.2015.55.4.871
- Dergi Adı: STRUCTURAL ENGINEERING AND MECHANICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.871-884
- Anahtar Kelimeler: rotary inertia, shear deformation, material non-homogeneity, natural frequency, beam, FREE-VIBRATION ANALYSIS, DIFFERENTIAL TRANSFORM METHOD, LINEARLY VARYING THICKNESS, CLOSED-FORM SOLUTIONS, HIGHER-ORDER SHEAR, NATURAL FREQUENCIES, RECTANGULAR-PLATES, ROTATORY INERTIA, TIMOSHENKO BEAMS, EFFICIENT
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.