Free longitudinal vibrations of functionally graded tapered axial bars by pseudospectral method

Journal of Vibroengineering

Sri Harikrishna Pillutla¹  Sudheer Gopinathan²  Vasudeva Rao Yerikalapudy³ 

[1] GITAM (Deemed to be University), Visakhapatnam, India;GVP College of Engineering for Women, Visakhapatnam, India;IIT Bhubaneswar, Bhubaneswar, India;

关键词: vibrations;    inhomogeneous rod;    graded axial bar;    numerical;    pseudospectral;   

DOI  :  10.21595/jve.2018.19373

来源: DOAJ

【 摘 要 】

In this work, the problem of free longitudinal vibration of rods with variable cross-sectional area and material properties is investigated using the pseudospectral method. With the gradation of material properties like modulus of elasticity and mass density in the axial direction, the results corresponding to a functionally graded axial bar are obtained using the proposed pseudospectral formulation. The pseudospectral formulation used is relatively easy to implement and powerful in analyzing vibration problems. With the help of several numerical examples, the non-dimensional natural frequencies of rods obtained using the pseudospectral method are compared with those obtained by the analytical solution, generalized finite element method, the discrete singular convolution method and differential transformation method. The numerical results obtained show that the proposed technique allows boundary conditions to be incorporated easily and yields results with good accuracy and faster convergence rates than other methods.

【 授权许可】

Unknown