A torsion-free non-linear beam model

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• 作者：I. Romero ; M. Urrecha ; C.J. Cyron
• 关键词：Structural model ; Non-linear beam ; Polymer model ; Geometrically exact theory
• 刊名：International Journal of Non-Linear Mechanics
• 出版年：January, 2014
• 年：2014
• 卷：58
• 期：Complete
• 页码：1-10
• 全文大小：451 K

文摘

The governing equations of a novel structural model are derived from general balance equations and Lagrangian mechanics. The model represents beam-like slender bodies whose sections can withstand traction and shear forces, plus bending, but no torsional, moments. Although continuum bodies with such a behavior do not exist, multibody systems whose overall response can be described in such a way can be found. In fact, the motivation for this work is the study of certain types of polymers, which can be efficiently modeled as torsion-free rods instead of using long spring-mass chains, for which the proposed continuous model can serve as a basis for efficient finite element discretizations.