Nonlocal strain gradient beam model for postbuckling and associated vibrational response of lipid supramolecular protein micro/nano-tubules.

摘要: As a supramolecular construction, lipid protein micro/nano-tubules can be utilized in variety of sustained biological delivery system. The high slenderness ratio tubules makes their hierarchical assembly into desired architecture difficult. Therefore, an accurate prediction mechanical behavior tubular is essential. objective this study to capture size dependency the postbuckling and vibrational response postbuckled more comprehensively. To purpose, nonlocal strain gradient elasticity theory incorporated third-order shear deformation beam develop unconventional model. Hamilton's principle put use establish size-dependent governing differential equations motion. After that, improved perturbation technique conjunction with Galerkin method employed obtain load-frequency stability curves micro/nano-tubules. It revealed that by taking effect consideration, influence type (geometrical parameters) axially compressed micro/nano-tubule on its natural frequency order decreases increases within prebuckling regimes. While plays opposite role which causes corresponding domains decreases, respectively.