Dynamic analysis of 3D beams with joints in presence of large rotations
✍ Scribed by G. Jelenić; M.A. Crisfield
- Book ID
- 104266749
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 658 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we present a way to extend the earlier static master±slave formulation for beams and joints [1] to dynamic problems. The dynamic master±slave approach is capable of (i) handling the problems of linear elasticity in a geometrically non-linear environment, (ii) accounting for the non-linear kinematics of arbitrary types of joints and (iii) performing the numerical time integration while preserving some of the important constants of motion like total energy and the total momenta for Hamiltonian systems in the absence of external loading. The performance of the formulation is demonstrated with the aid of two representative numerical examples.
📜 SIMILAR VOLUMES
The formulation of dynamic procedures for three-dimensional (3-D) beams requires extensive use of the algebra pertaining to the non-linear character of the rotation group in space. The corresponding extraction procedure to obtain the rotations that span a time step has certain limitations, which can
The dynamic characteristics of a rotating curved beam are investigated. The equations of motion include all dynamic e!ects such as Coriolis force, centrifugal force and acceleration. The analysis of the rotating beam takes into account the coupling between rigid-body motion and elastic deformation,