Use of principal axes as the floating reference frame for a moving deformable body
Use of principal axes as the floating reference frame for a moving deformable body
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DOI：
10.1007/s11044-005-2514-y
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发表时间：
2005-03-01
影响因子：
3.4
通讯作者：
Lin, YS
中科院分区：
文献类型：
--
作者：
Nikravesh, P;Lin, YS
本文提出了一种采用可变形物体主轴作为附体框架的方法。在多体环境中，允许可变形体在进行刚体运动时发生变形。将主轴作为运动参照系的基本概念是，参照系的原点必须保持在瞬时质量中心，并且当物体变形时，三个惯性积必须保持为零。这些条件需要在位置、速度和加速度级别的约束方程中使用几个辅助矩阵的构造。这些辅助矩阵只构造一次，并且通过可变形体的运动保持不变。所提出的公式不依赖于有限元和多体公式的类型或任何相关的假设。
In this paper a method to adopt the principal axes of a deformable body as its body-attached frame is presented. The deformable body in a multibody setting is allowed to deform while it undergoes rigid-body motion. The fundamental concepts of imposing the principal axes as a moving reference frame are that the origin of the frame must remain at the instantaneous mass center and that the three products of inertia must remain zero as the body deforms. These conditions require the construction of several auxiliary matrices that are used in the constraint equations at the position, velocity, and acceleration levels. These auxiliary matrices are constructed only once and remain unchanged through the motion of the deformable body. The presented formulation does not depend on the type of finite element and multibody formulations or any associated assumptions.