Nonlinear free and forced vibrations of porous functionally graded pipes conveying fluid and resting on nonlinear elastic foundation

作者: Bo Zhu , Qi Xu , Ming Li , Yinghui Li

DOI: 10.1016/J.COMPSTRUCT.2020.112672

关键词:

摘要: … layers with nonlinearity. Both ends of the pipe are simply supported. The displacement vector of the pipe ( u 1 , u 2 , u 3 ) based on the Cartesian coordinate system O–xyz is considered. …

参考文章(69)
Ivana Kovacic, Michael J. Brennan, The Duffing Equation: Nonlinear Oscillators and their Behaviour ,(2011)
Shuaijun Li, Bryan W. Karney, Gongmin Liu, FSI research in pipeline systems – A review of the literature Journal of Fluids and Structures. ,vol. 57, pp. 277- 297 ,(2015) , 10.1016/J.JFLUIDSTRUCTS.2015.06.020
H.NAYFEH Ali, LACARBONARA Walter, On the discretization of spatially continuous systems with quadratic and cubic nonlinearities Jsme International Journal Series C-mechanical Systems Machine Elements and Manufacturing. ,vol. 41, pp. 510- 531 ,(1998) , 10.1299/JSMEC.41.510
William Tyrrell Thomson, Theory of vibration with applications ,(1965)
Sami El-Borgi, Ralston Fernandes, J.N. Reddy, Non-local free and forced vibrations of graded nanobeams resting on a non-linear elastic foundation International Journal of Non-Linear Mechanics. ,vol. 77, pp. 348- 363 ,(2015) , 10.1016/J.IJNONLINMEC.2015.09.013
'Alī Hasan Nā'ifa, Introduction to perturbation techniques ,(1981)
Dianlong Yu, Michael P. Païdoussis, Huijie Shen, Lin Wang, Dynamic Stability of Periodic Pipes Conveying Fluid Journal of Applied Mechanics. ,vol. 81, pp. 011008- ,(2014) , 10.1115/1.4024409
Q. Ni, Z.L. Zhang, L. Wang, Application of the differential transformation method to vibration analysis of pipes conveying fluid Applied Mathematics and Computation. ,vol. 217, pp. 7028- 7038 ,(2011) , 10.1016/J.AMC.2011.01.116
Ji-Huan He, Variational iteration method – a kind of non-linear analytical technique: some examples International Journal of Non-linear Mechanics. ,vol. 34, pp. 699- 708 ,(1999) , 10.1016/S0020-7462(98)00048-1