Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Free vibrations of annular circular and elliptic plates. / Smirnov, Andrei L.
COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings. ed. / Manolis Papadrakakis; Michalis Fragiadakis. National Technical University of Athens (NTUA), 2019. p. 3547-3555 (COMPDYN Proceedings; Vol. 2).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Free vibrations of annular circular and elliptic plates
AU - Smirnov, Andrei L.
N1 - Conference code: 7th
PY - 2019/1/1
Y1 - 2019/1/1
N2 - The aim of this research is to study free transverse vibrations of an elliptic solid thin plate with a varying eccentricity and an elliptic plate with an elliptic cutout with the same eccentricity. Both analytical and numerical methods are used to examine the problem. For plates with small eccentricity and/or small central elliptic cutout asymptotic methods are used to describe the effect of the eccentricity and cutout on the vibrational spectra. For a circular plate a vibrational mode can be expressed by one particular solution of the differential equation governing vibrations, for an elliptic plate all appropriate particular solutions should be summed up to express even one vibrational mode. That makes the problem much more difficult. The main aim of the research is to follow what happens to the spectrum of transverse vibration frequencies of a solid circular plate with increasing of the central hole area and/or the plate eccentricity. Frequencies and modes were also found by finite element method using the package ANSYS 18.1. The results were compared with those obtained by other authors who used Rayleigh-Ritz and other numerical and analytical methods.
AB - The aim of this research is to study free transverse vibrations of an elliptic solid thin plate with a varying eccentricity and an elliptic plate with an elliptic cutout with the same eccentricity. Both analytical and numerical methods are used to examine the problem. For plates with small eccentricity and/or small central elliptic cutout asymptotic methods are used to describe the effect of the eccentricity and cutout on the vibrational spectra. For a circular plate a vibrational mode can be expressed by one particular solution of the differential equation governing vibrations, for an elliptic plate all appropriate particular solutions should be summed up to express even one vibrational mode. That makes the problem much more difficult. The main aim of the research is to follow what happens to the spectrum of transverse vibration frequencies of a solid circular plate with increasing of the central hole area and/or the plate eccentricity. Frequencies and modes were also found by finite element method using the package ANSYS 18.1. The results were compared with those obtained by other authors who used Rayleigh-Ritz and other numerical and analytical methods.
KW - Annular plates
KW - Elliptic plates
KW - Free vibrations spectra
UR - http://www.scopus.com/inward/record.url?scp=85079032537&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85079032537
T3 - COMPDYN Proceedings
SP - 3547
EP - 3555
BT - COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings
A2 - Papadrakakis, Manolis
A2 - Fragiadakis, Michalis
PB - National Technical University of Athens (NTUA)
T2 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019
Y2 - 24 June 2019 through 26 June 2019
ER -
ID: 51611396