Abstract

In this work, Reddy beam theory is used with the nonlocal differential constitutive relations of Eringen, and the equations of motion of the protein microtubules in terms of the generalized displacements are presented. Analytical solution of bending the protein microtubules is presented to bring out the effect of the nonlocal behavior on deflections. The theoretical development as well as numerical solutions presented herein should serve as references for nonlocal theories of the protein microtubules or beams.

中文翻译：

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蛋白质微管力学行为的非局域弹性理论

摘要

在这项工作中，Reddy 梁理论与 Eringen 的非局部微分本构关系一起使用，并根据广义位移提出了蛋白质微管的运动方程。提出了弯曲蛋白质微管的解析解，以揭示非局部行为对偏转的影响。本文提出的理论发展和数值解决方案应作为蛋白质微管或束的非局部理论的参考。