title: Nonlinear analysis of lipid tubules by nonlocal beam model.
abstract: Postbuckling, nonlinear bending and nonlinear vibration analyses are presented for lipid tubules. The lipid tubule is modeled as a nonlocal micro/nano-beam which contains small scale effect. The material properties are assumed to be size-dependent. The governing equation is solved by a two-step perturbation technique. The numerical results reveal that the small scale parameter e₀a reduces the postbuckling equilibrium paths, the static large deflections and natural frequencies of lipid tubules. In contrast, it increases the nonlinear to linear frequency ratios slightly for the lipid tubule with immovable end conditions.
authors.affiliation: Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China. hsshen@mail.sjtu.edu.cn
authors.forename: Hui-Shen
authors.initials: HS
authors.lastname: Shen
mesh_terms: D008055:Lipids / Q000737:chemistry*; D008954:Models, Biological; D017711:Nonlinear Dynamics; D011312:Pressure; D012542:Scattering, Radiation; D014732:Vibration
chemical_list: D008055:Lipids