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Frequency Analysis of Variable Thickness Kirchhoff Plates by Isogeometric Approach
https://orcid.org/http://orcid.org/0000-0002-7574-8916
Vibration analysis of thin plates was of great interest for ages. With the application of different computation techniques, vibrational analysis of thin plates was done. In this paper, an isogeometric approach has been taken for vibrational calculation of thin plates with variation in thickness. The change in thickness is varied as linear and parabolic profile with different tapering factors (0.3, 0.6, 0.9). Non-Uniform Rational B Splines basis functions are used to approximate the design as well as to approximate the unknown solution. The governing equation of motion of plates has been derived on the platform of classical plate theory with the application of Galerkin method. Stiffness and mass matrices are developed for vibrational analysis and applied to plates of different thicknesses. Results obtained were in the region of great accuracy with literature and error was within the range of 1%. Isogeometric approach is found to be very effective, accurate, precise, and computationally efficient.
Frequency Analysis of Variable Thickness Kirchhoff Plates by Isogeometric Approach
https://orcid.org/http://orcid.org/0000-0002-7574-8916
Vibration analysis of thin plates was of great interest for ages. With the application of different computation techniques, vibrational analysis of thin plates was done. In this paper, an isogeometric approach has been taken for vibrational calculation of thin plates with variation in thickness. The change in thickness is varied as linear and parabolic profile with different tapering factors (0.3, 0.6, 0.9). Non-Uniform Rational B Splines basis functions are used to approximate the design as well as to approximate the unknown solution. The governing equation of motion of plates has been derived on the platform of classical plate theory with the application of Galerkin method. Stiffness and mass matrices are developed for vibrational analysis and applied to plates of different thicknesses. Results obtained were in the region of great accuracy with literature and error was within the range of 1%. Isogeometric approach is found to be very effective, accurate, precise, and computationally efficient.
Frequency Analysis of Variable Thickness Kirchhoff Plates by Isogeometric Approach
https://orcid.org/http://orcid.org/0000-0002-7574-8916
Vibration analysis of thin plates was of great interest for ages. With the application of different computation techniques, vibrational analysis of thin plates was done. In this paper, an isogeometric approach has been taken for vibrational calculation of thin plates with variation in thickness. The change in thickness is varied as linear and parabolic profile with different tapering factors (0.3, 0.6, 0.9). Non-Uniform Rational B Splines basis functions are used to approximate the design as well as to approximate the unknown solution. The governing equation of motion of plates has been derived on the platform of classical plate theory with the application of Galerkin method. Stiffness and mass matrices are developed for vibrational analysis and applied to plates of different thicknesses. Results obtained were in the region of great accuracy with literature and error was within the range of 1%. Isogeometric approach is found to be very effective, accurate, precise, and computationally efficient.
Frequency Analysis of Variable Thickness Kirchhoff Plates by Isogeometric Approach
J. Inst. Eng. India Ser. C
Sinha, Gourav Prasad (Autor:in) / Kumar, Bipin (Autor:in)
Journal of The Institution of Engineers (India): Series C ; 104 ; 271-280
01.04.2023
10 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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