Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Harmonic and random vibrations of anisotropic beam. / Tovstik, Petr E.; Tovstik, Tatiana M.; Naumova, Natalia V.
COMPDYN 2017 - Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering. Vol. 1 National Technical University of Athens (NTUA), 2017. p. 518-528.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
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TY - GEN
T1 - Harmonic and random vibrations of anisotropic beam
AU - Tovstik, Petr E.
AU - Tovstik, Tatiana M.
AU - Naumova, Natalia V.
PY - 2017
Y1 - 2017
N2 - Vibrations of a thin elastic beam-strip are studied. A beam is made of an anisotropic material heterogeneous in the thickness direction. The 1D model of second-order accuracy is delivered by using asymptotic expansions in powers of the relative beam thickness. A special attention is paid to the slanted anisotropy with 6 elastic modules. A spectrum of bending vibrations in the case of simply supported ends of a beam is constructed. Forced vibrations under action of a harmonic and a random excitations are studied. In the last case, the root-mean-square of deflections are found in dependence of a type of excitation.
AB - Vibrations of a thin elastic beam-strip are studied. A beam is made of an anisotropic material heterogeneous in the thickness direction. The 1D model of second-order accuracy is delivered by using asymptotic expansions in powers of the relative beam thickness. A special attention is paid to the slanted anisotropy with 6 elastic modules. A spectrum of bending vibrations in the case of simply supported ends of a beam is constructed. Forced vibrations under action of a harmonic and a random excitations are studied. In the last case, the root-mean-square of deflections are found in dependence of a type of excitation.
KW - Anisotropic beam
KW - Equations of second order accuracy
KW - Forced harmonic
KW - Random vibrations
UR - http://www.scopus.com/inward/record.url?scp=85042486295&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85042486295
VL - 1
SP - 518
EP - 528
BT - COMPDYN 2017 - Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering
PB - National Technical University of Athens (NTUA)
T2 - 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2017
Y2 - 14 June 2017 through 16 June 2017
ER -
ID: 9178093