TY - JOUR
T1 - Analysis of flexural-flexural-torsional nonlinear vibrations of twisted rotating beams with cross-sectional deplanation
AU - Avramov, K. V.
AU - Galas, O. S.
AU - Morachkovskii, O. K.
AU - Pierre, C.
PY - 2009
Y1 - 2009
N2 - We present results of the investigations on flexural-flexural-torsional nonlinear vibrations of twisted rotating beams described by the system of three nonlinear integro-differential equations expressed in partial derivatives. Cross-sectional deplanation of beams is adjusted to the equations and it is assumed that centre of gravity and shear centre are located at different points. Vibration systems are expressed as a row by free forms of the linear problem. Free vibrations are studied with the help of the Show - Pierre nonlinear normal mode.
AB - We present results of the investigations on flexural-flexural-torsional nonlinear vibrations of twisted rotating beams described by the system of three nonlinear integro-differential equations expressed in partial derivatives. Cross-sectional deplanation of beams is adjusted to the equations and it is assumed that centre of gravity and shear centre are located at different points. Vibration systems are expressed as a row by free forms of the linear problem. Free vibrations are studied with the help of the Show - Pierre nonlinear normal mode.
KW - Backbone curves
KW - Flexural-flexural-torsional vibrations
KW - Nonlinear normal mode method
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U2 - 10.1007/s11223-009-9111-x
DO - 10.1007/s11223-009-9111-x
M3 - Article
AN - SCOPUS:64549101986
SN - 0039-2316
VL - 41
SP - 200
EP - 208
JO - Strength of Materials
JF - Strength of Materials
IS - 2
ER -