ABSTRACT: In this study, inplane 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 5^{th} order Runge Kutta (RK5) algorithm is applied to solve the initialvalue problem based on the CFM. To examine the inplane free vibration of Timoshenko beams with stepped circular crosssection 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, inplane 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 5^{th} order Runge Kutta (RK5) algorithm is applied to solve the initialvalue problem based on the CFM. To examine the inplane free vibration of Timoshenko beams with stepped circular crosssection 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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Bibtex  @araştırma makalesi { alku445056,
journal = {ALKÜ Fen Bilimleri Dergisi},
issn = {},
address = {Alanya Alaaddin Keykubat Üniversitesi},
year = {2019},
volume = {1},
pages = {1  7},
doi = {},
title = {InPlane 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). InPlane Free Vibration Frequencies of Stepped Circular Beams. ALKÜ Fen Bilimleri Dergisi, 1 (1), 17. Retrieved from http://dergipark.gov.tr/alku/issue/39176/445056 
MLA  Aslan, T , Temel, B , Noori, A . "InPlane Free Vibration Frequencies of Stepped Circular Beams". ALKÜ Fen Bilimleri Dergisi 1 (2019): 17 <http://dergipark.gov.tr/alku/issue/39176/445056> 
Chicago  Aslan, T , Temel, B , Noori, A . "InPlane Free Vibration Frequencies of Stepped Circular Beams". ALKÜ Fen Bilimleri Dergisi 1 (2019): 17 
RIS  TY  JOUR T1  InPlane 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 InPlane Free Vibration Frequencies of Stepped Circular Beams %A Timuçin Alp Aslan , Beytullah Temel , Ahmad Reshad Noori %T InPlane 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 . "InPlane Free Vibration Frequencies of Stepped Circular Beams". ALKÜ Fen Bilimleri Dergisi 1 / 1 (Ocak 2019): 17. 