Transient analysis of flexible multi-body systems. Part I: Dynamics of flexible bodies |
| |
| Affiliation: | 1. Agency for Defense Development, 330 Sinseong-ro Haemi-myeon Seosan-si Chungnam, 356-823 Korea;2. School of Mechanical Engineering, Pusan National University, 30, Janjeon-dong, Geumjeong-gu, Busan 609-735, Republic of Korea;1. National Research University Higher School of Economics, Moscow 101000, Russia;2. Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC 27695, USA;3. Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia;1. Universidad Autónoma de San Luis Potosí, Centro de Investigación y Estudios de Posgrado, Facultad de Ingeniería, Av. Dr. Manuel Nava 8, Zona Universitaria, 78290 San Luis Potosí, Mexico;2. Electrical Engineering Department, Universidad de Concepción, Edmundo Larenas 219, Concepción, Chile;1. School of Engineering, Anhui Agricultural University, Hefei, 230036, China;2. Institute of Plasma Physics, Chinese Academy of Science, Hefei, 230031, China |
| |
| Abstract: | The formulation for the dynamic analysis of undamped linear structural systems using the finite element method results in two element matrices; the mass and stiffness matrices, that describe the element inertia and stiffness properties. However, these matrices are not sufficient to describe the dynamics of structures that undergo large rigid-body motion. Other element matrices, in addition to the mass and stiffness matrices, are required to account for the inertia coupling between gross motion and elastic deformation. These matrices are time-invariant and can be generated and assembled in the same manner as the mass and stiffness matrices are assembled in linear structural dynamics. An inherent relation between these matrices and the deformable body mean axes exists. This paper is the first of two parts. It presents the two-dimensional and three-dimensional formulation of the system equations of motion of inertia-variant flexible bodies. In particular, Euler parameters are employed to describe the rotations of the body reference in the spatial analysis. In Part II [13], this formulation is applied to the impact analysis of a large-scale constrained flexible aircraft which are modeled as a multi-body system consisting of interconnected rigid and flexible components. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
