, Volume 51, Issue 6, pp 1481–1489 | Cite as

Linear free vibration in pre/post-buckled states and nonlinear dynamic stability of lipid tubules based on nonlocal beam model



In this paper, considering the small scale effect, the linear free vibration in pre/post-buckled states and nonlinear dynamic stability of lipid tubules with in-plane movable ends are studied. The small scale effect is characterized by nonlocal elasticity theory. The vibration in pre/post-buckled regions is solved by the differential quadrature method (DQM), and the nonlinear dynamic stability is solved by incremental harmonic balance method (IHBM). In numerical results, the effects of small scale parameter, types of lipid tubule on vibration in pre/post-buckled states and nonlinear dynamic stability are discussed.


Lipid tubules Nonlocal theory Vibration in pre/post-buckled states Nonlinear dynamic stability 



This study is supported by the National Natural Science Foundation of China under Grant No. 11272117.


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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.College of Mechanical and Vehicle EngineeringHunan UniversityChangshaChina

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