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## entrIn-Plane Free Vibration Frequencies of Stepped Circular BeamsIn-Plane Free Vibration Frequencies of Stepped Circular Beams

#### Timuçin Alp Aslan [1] , Beytullah Temel [2] , Ahmad Reshad Noori [3]

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ABSTRACT: In this study, in-plane natural frequencies of stepped circular beams are presented. The material of the beam is considered to be isotropic, homogeneous and elastic. The effects of shear deformation and rotary inertia are considered in the necessary assumptions and formulations. The obtained canonical form of governing equations is solved numerically by the complementary functions method (CFM) in the Laplace domain. To obtain the natural frequencies of the considered structures the Laplace parameter is replaced with the parameter of free vibration. The 5th order Runge Kutta (RK5) algorithm is applied to solve the initial-value problem based on the CFM. To examine the in-plane free vibration of Timoshenko beams with stepped circular cross-section a program is coded in FORTRAN. In order to demonstrate the accuracy of the current scheme, present results are compared with those of literature.  The accuracy and efficiency of the presented results are observed.

In this study, in-plane natural frequencies of stepped circular beams are presented. The material of the beam is considered to be isotropic, homogeneous and elastic. The effects of shear deformation and rotary inertia are considered in the necessary assumptions and formulations. The obtained canonical form of governing equations is solved numerically by the complementary functions method (CFM) in the Laplace domain. To obtain the natural frequencies of the considered structures the Laplace parameter is replaced with the parameter of free vibration. The 5th order Runge Kutta (RK5) algorithm is applied to solve the initial-value problem based on the CFM. To examine the in-plane free vibration of Timoshenko beams with stepped circular cross-section a program is coded in FORTRAN. In order to demonstrate the accuracy of the current scheme, present results are compared with those of literature.  The accuracy and efficiency of the presented results are observed.

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Birincil Dil en Makaleler Yazar: Timuçin Alp AslanÜlke: Turkey Yazar: Beytullah Temel Yazar: Ahmad Reshad Noori (Sorumlu Yazar)
 Bibtex @araştırma makalesi { alku445056, journal = {ALKÜ Fen Bilimleri Dergisi}, issn = {}, address = {Alanya Alaaddin Keykubat Üniversitesi}, year = {2019}, volume = {1}, pages = {1 - 7}, doi = {}, title = {In-Plane Free Vibration Frequencies of Stepped Circular Beams}, key = {cite}, author = {Aslan, Timuçin Alp and Temel, Beytullah and Noori, Ahmad Reshad} } APA Aslan, T , Temel, B , Noori, A . (2019). In-Plane Free Vibration Frequencies of Stepped Circular Beams. ALKÜ Fen Bilimleri Dergisi, 1 (1), 1-7. Retrieved from http://dergipark.gov.tr/alku/issue/39176/445056 MLA Aslan, T , Temel, B , Noori, A . "In-Plane Free Vibration Frequencies of Stepped Circular Beams". ALKÜ Fen Bilimleri Dergisi 1 (2019): 1-7 Chicago Aslan, T , Temel, B , Noori, A . "In-Plane Free Vibration Frequencies of Stepped Circular Beams". ALKÜ Fen Bilimleri Dergisi 1 (2019): 1-7 RIS TY - JOUR T1 - In-Plane Free Vibration Frequencies of Stepped Circular Beams AU - Timuçin Alp Aslan , Beytullah Temel , Ahmad Reshad Noori Y1 - 2019 PY - 2019 N1 - DO - T2 - ALKÜ Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 1 EP - 7 VL - 1 IS - 1 SN - - M3 - UR - Y2 - 2018 ER - EndNote %0 ALKÜ Fen Bilimleri Dergisi In-Plane Free Vibration Frequencies of Stepped Circular Beams %A Timuçin Alp Aslan , Beytullah Temel , Ahmad Reshad Noori %T In-Plane Free Vibration Frequencies of Stepped Circular Beams %D 2019 %J ALKÜ Fen Bilimleri Dergisi %P - %V 1 %N 1 %R %U ISNAD Aslan, Timuçin Alp , Temel, Beytullah , Noori, Ahmad Reshad . "In-Plane Free Vibration Frequencies of Stepped Circular Beams". ALKÜ Fen Bilimleri Dergisi 1 / 1 (Ocak 2019): 1-7.