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Steel and Composite Structures
  Volume 40, Number 4, August25 2021 , pages 571-580
DOI: https://doi.org/10.12989/scs.2021.40.4.571
 


Transient response of functionally graded non-uniform cylindrical helical rods
Yavuz C. Cuma and Faruk Firat Calim

 
Abstract
    This paper have the objective of investigating forced vibration behaviour of axially functionally graded cylindrical helices with variable cross-section. An algorithm is developed in order to solve corresponding problems. The ordinary differential equations governing the dynamic behaviour of cylindrical helices are determined in Laplace domain by using Timoshenko beam theory. Then transfer matrix method is implemented for the solution, including shear and axial deformation effects. Obtained results are transferred to time domain using Durbin's modified numerical inverse algorithm for Laplace transform. A benchmark problem has been solved to check the accuracy of developed algorithm then a parametric study is conducted considering the effects of material gradient index (b_mat), section variation parameter (b-sec) and number of active turns (n). Results are compared with solutions attained from ANSYS for verification.
 
Key Words
    forced vibration; functionally graded material; helical rod; inverse Laplace transform; variable cross-section
 
Address
Yavuz C. Cuma and Faruk Firat Calim: Department of Civil Engineering, Adana Alparslan Turkes Science and Technology University, Adana, Turkey
 

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