Cross-sectional flattening-induced nonlinear damped vibration of elastic tubes subjected to transverse loads

This paper presents an analytical solution of the cross-sectional flattening-induced nonlinear vibration elastic tubes when subjected to transverse harmonic excitation. It is shown that equation motion describing beam-type can be characterized by Duffing with cubic nonlinearity, in which term reflects influence flattening on tubes. The degree nonlinearity found governed directly dimensionless amplitude force. feature and corresponding stability response under action excitation are discussed. Numerical examples provided demonstrate rationality present model.