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Sep 1, 2015

Erratum for “Numerical Analysis of Free Longitudinal Vibration of Nonuniform Rods: Discrete Singular Convolution Approach” by Mohammad Shokrollahi and Amir Zayeri Baghlani Nejad

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Authors: Mohammad Shokrollahi [email protected] and Amir Zayeri Baghlani Nejad [email protected]Author Affiliations
Publication: Journal of Engineering Mechanics
Volume 141, Issue 12
https://doi.org/10.1061/(ASCE)EM.1943-7889.0001003
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In Tables 4 and 5, the citation Inaudi and Matusevich (2010) should be replaced with Raj and Sujith (2005).
Table 4. Nondimensional Fundamental Frequency for C-F and C-C Rods with A(x)=xaexp(bx2)
Boundary conditionsab=−3b=−0.5b=0.5b=3Raj and Sujith (2005)Relative errorRaj and Sujith (2005)Relative error
Raj and Sujith (2005)Relative errorRaj and Sujith (2005)Relative error
C-F−2.54.8842.96×10−023.4558.28×10−022.9041.17×10−011.6742.59×10−01
−0.53.233−4.78×10−032.1093.06×10−021.6844.98×10−020.812−5.66×10−03
0.52.350−1.65×10−021.432−5.79×10−021.1001.42×10−020.4701.39×10−03
2.50.8642.99×10−030.4242.87×10−020.2955.03×10−030.1014.05×10−02
C-C−2.55.2865.77×10−024.4869.52×10−024.3161.02×10−014.3538.18×10−02
−0.53.6225.47×10−033.3094.21×10−023.3843.95×10−024.0151.88×10−03
0.52.817−3.78×10−032.906−2.94×10−033.1542.59×10−034.115−2.03×10−03
2.52.0303.89×10−023.0745.56×10−023.5983.99×10−025.0122.38×10−03
Table 5. Nondimensional Fundamental Frequency for C-F and C-C Rods with A(x)=xaexp(bx)
Boundary conditionsab=−3b=−0.5b=0.5b=3Raj and Sujith (2005)Relative errorRaj and Sujith (2005)Relative error
Raj and Sujith (2005)Relative errorRaj and Sujith (2005)Relative error
C-F−2.54.4156.85×10−023.5788.70×10−022.7891.13×10−012.0651.51×10−01
−0.53.0203.64×10−022.2484.80×10−021.5632.10×10−03——
0.52.2566.24×10−041.564−1.14×10−03————
2.5————————
C-C−2.55.2388.39×10−024.6379.39×10−024.1811.04×10−013.9211.03×10−01
−0.53.8354.26×10−023.4364.41×10−023.3003.83×10−023.4602.56×10−02
0.53.149−3.47×10−032.979−2.53×10−033.134−1.06×10−033.5721.17×10−03
2.52.509−3.11×10−033.0083.24×10−023.6895.44×10−024.4735.47×10−02

Acknowledgments

We would like to thank Dr. Gopinathan Sudheer of the Department of Mathematics, GVP College of Engineering for Women, Madhurawada, Visakhapatnam, India, for his interest in our paper and who has kindly brought to our attention this error.

References

Inaudi, J. A., and Matusevich, A. E. (2010). “Domain-partition power series in vibration analysis of variable-cross-section rods.” J. Sound Vib., 329(21), 4534–4549.
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Raj, A., and Sujith, R. I. (2005). “Closed-form solutions for the free longitudinal vibration of inhomogeneous rods.” J. Sound Vib., 283(3–5), 1015–1030.
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Journal of Engineering Mechanics
Volume 141 • Issue 12 • December 2015

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© 2015 American Society of Civil Engineers.

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Received: Jan 1, 2015
Accepted: Jul 21, 2015
Published online: Sep 1, 2015
Published in print: Dec 1, 2015
Discussion open until: Feb 1, 2016

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Mohammad Shokrollahi [email protected]
Instructor, Engineering Dept., Jundi-Shapur Univ. of Technology, 64615334 Dezful, Iran (corresponding author). E-mail: [email protected]
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Amir Zayeri Baghlani Nejad [email protected]
Instructor, Engineering Dept., Jundi-Shapur Univ. of Technology, 64615334 Dezful, Iran. E-mail: [email protected]; [email protected]
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