A numerical model for investigation of dynamic behavior and free vibration of functionally graded cylindrical helical springs
Keywords:FG material, Helical spring, Axial and rotational displacement, Gradient index
The aim of this paper is to investigate the free vibration of functional-graded (FG) cylindrical helical springs. Model differential equations of homogeneous helical springs are extended to the vibration of FG helical springs. The equations are discretized using finite difference method for space. The time dependent equations are solved using a GMRES method. The initial axial and rotational displacements are applied at the free end of the spring manually and then released. The validated numerical model is then adopted to establish the effects of the FG material index on the model natural frequencies obtained by FFT analysis. According to the results, in both homogeneous and FG helical springs, the amplitudes of axial and rotational displacements increase as they approach the free end of the spring. The numerical results indicate that the FG material index strongly affects the dynamic behavior of the cylindrical helical springs. The amplitudes of the oscillations are damped efficiently and by increasing the material gradient index.
How to Cite
Copyright (c) 2021 JCC Research Group
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors will be asked, upon acceptance of an article, to transfer copyright of the article to the Publisher. This will ensure the widest possible dissemination of information under copyright laws.
The submitted materials may be considered for inclusion but can not be returned.
As an author you (or your employer or institution) have certain rights to reuse your work.