论文标题
适合自适应结构的运动设计的差异公式
A variational formulation for motion design of adaptive compliant structures
论文作者
论文摘要
自适应结构的特征是它们能够将其几何和其他特性调整为服务期间的负载或需求的能力。该贡献涉及一种设计方法，用于设计两个规定的几何配置之间的结构的准静态运动，这些构型在指定的质量功能方面是最佳的，同时考虑了大变形。它基于两个有限元离散化的变分公式和解决方案，即空间离散化（标准有限元网格）以及变形路径或轨迹的额外离散化。为了进行研究，使用了一个示例性的目标函数，使用沿变形路径积分的内部能量的最小化。本文介绍的运动设计方法使用牛顿 - 拉夫森方法作为二阶优化算法，并允许进行分析灵敏度分析。验证了所提出的方法，并通过基准示例进行了研究，包括刚体运动，不稳定性现象和确定壳的不可扩展变形。
Adaptive structures are characterized by their ability to adjust their geometrical and other properties to changing loads or requirements during service. This contribution deals with a method for the design of quasi-static motions of structures between two prescribed geometrical configurations that are optimal with regard to a specified quality function while taking large deformations into account. It is based on a variational formulation and the solution by two finite element discretizations, the spatial discretization (the standard finite element mesh) and an additional discretization of the deformation path or trajectory. For the investigations, an exemplary objective function, the minimization of the internal energy, integrated along the deformation path, is used. The method for motion design presented herein uses the Newton-Raphson method as a second order optimization algorithm and allows for analytical sensitivity analysis. The proposed method is verified and its properties are investigated by benchmark examples including rigid body motions, instability phenomena and determination of inextensible deformations of shells.
