Free longitudinal vibrations of functionally graded tapered axial bars by pseudospectral method
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 corre...
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doaj-d35fb1a4ce494acabbaf68a35c88d01d2020-11-24T21:17:18ZengJVE InternationalJournal of Vibroengineering1392-87162538-84602018-08-012052137215010.21595/jve.2018.1937319373Free longitudinal vibrations of functionally graded tapered axial bars by pseudospectral methodSri Harikrishna Pillutla0Sudheer Gopinathan1Vasudeva Rao Yerikalapudy2GITAM (Deemed to be University), Visakhapatnam, IndiaGVP College of Engineering for Women, Visakhapatnam, IndiaIIT Bhubaneswar, Bhubaneswar, IndiaIn 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.https://www.jvejournals.com/article/19373vibrationsinhomogeneous rodgraded axial barnumericalpseudospectral |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sri Harikrishna Pillutla Sudheer Gopinathan Vasudeva Rao Yerikalapudy |
spellingShingle |
Sri Harikrishna Pillutla Sudheer Gopinathan Vasudeva Rao Yerikalapudy Free longitudinal vibrations of functionally graded tapered axial bars by pseudospectral method Journal of Vibroengineering vibrations inhomogeneous rod graded axial bar numerical pseudospectral |
author_facet |
Sri Harikrishna Pillutla Sudheer Gopinathan Vasudeva Rao Yerikalapudy |
author_sort |
Sri Harikrishna Pillutla |
title |
Free longitudinal vibrations of functionally graded tapered axial bars by pseudospectral method |
title_short |
Free longitudinal vibrations of functionally graded tapered axial bars by pseudospectral method |
title_full |
Free longitudinal vibrations of functionally graded tapered axial bars by pseudospectral method |
title_fullStr |
Free longitudinal vibrations of functionally graded tapered axial bars by pseudospectral method |
title_full_unstemmed |
Free longitudinal vibrations of functionally graded tapered axial bars by pseudospectral method |
title_sort |
free longitudinal vibrations of functionally graded tapered axial bars by pseudospectral method |
publisher |
JVE International |
series |
Journal of Vibroengineering |
issn |
1392-8716 2538-8460 |
publishDate |
2018-08-01 |
description |
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. |
topic |
vibrations inhomogeneous rod graded axial bar numerical pseudospectral |
url |
https://www.jvejournals.com/article/19373 |
work_keys_str_mv |
AT sriharikrishnapillutla freelongitudinalvibrationsoffunctionallygradedtaperedaxialbarsbypseudospectralmethod AT sudheergopinathan freelongitudinalvibrationsoffunctionallygradedtaperedaxialbarsbypseudospectralmethod AT vasudevaraoyerikalapudy freelongitudinalvibrationsoffunctionallygradedtaperedaxialbarsbypseudospectralmethod |
_version_ |
1726013014016000000 |