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Geometrically exact, intrinsic mixed variational formulation for smart, slender multilink composite structures
Journal of Intelligent Material Systems and Structures ( IF 2.4 ) Pub Date : 2021-07-13 , DOI: 10.1177/1045389x211032269
P M G Bashir Asdaque 1 , Sitikantha Roy 1
Affiliation  

Flexible links are often part of massive aerospace structures like helicopter or wind turbine blades, satellite bae, airplane wings, and space stations. In the present work, a mixed variational statement based on intrinsic variables is derived for multilinked smart slender structures. Equations involved in the derivation do not involve approximations of kinematical variables to describe the deformation of the reference line or the rotation of the deformed cross-section of the slender links resulting in a geometrically exact formulation. Finite element equations are derived from weak formulation, which can analyze large geometrically non-linear problems. The weakest possible variational statement provides greater flexibility in the choice of shape functions, therefore reducing the associated numerical complexities. The present work focuses on developing a single integrated computational platform which can study multibody, multilink, lightweight composite, structural system built with both embedded actuations, sensing, as well as passive links. Validation of static mechanical and electrical outputs from 3D FE simulation and literature proves the efficacy of the computational platform. Dynamic results will be communicated in future correspondence. The computational platform developed here can be applied for monitoring and active control applications of flexible smart multilink structures like swept wings, multi-bae space structures, and helicopter blades.



中文翻译:

用于智能、细长多连杆复合结构的几何精确、内在混合变分公式

柔性链路通常是大型航空航天结构的一部分,如直升机或风力涡轮机叶片、卫星基座、飞机机翼和空间站。在目前的工作中,基于内在变量的混合变分陈述是为多链接智能细长结构导出的。推导中涉及的方程不涉及运动学变量的近似,以描述参考线的变形或细长连杆变形横截面的旋转,从而产生几何精确的公式。有限元方程源自弱公式,可以分析大型几何非线性问题。最弱的变分陈述在选择形状函数时提供了更大的灵活性,从而降低了相关的数值复杂性。目前的工作重点是开发一个单一的集成计算平台,该平台可以研究多体、多连杆、轻质复合材料、内置驱动、传感和被动连杆的结构系统。来自 3D FE 模拟和文献的静态机械和电气输出的验证证明了计算平台的有效性。动态结果将在未来的通信中传达。这里开发的计算平台可用于灵活智能多连杆结构的监测和主动控制应用,如后掠翼、多巴空间结构和直升机叶片。来自 3D FE 模拟和文献的静态机械和电气输出的验证证明了计算平台的有效性。动态结果将在未来的通信中传达。这里开发的计算平台可用于灵活智能多连杆结构的监测和主动控制应用,如后掠翼、多巴空间结构和直升机叶片。来自 3D FE 模拟和文献的静态机械和电气输出的验证证明了计算平台的有效性。动态结果将在未来的通信中传达。这里开发的计算平台可用于灵活智能多连杆结构的监测和主动控制应用,如后掠翼、多巴空间结构和直升机叶片。

更新日期:2021-07-13
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