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- Title
Structure carrying moving subsystems with distributed viscoelastic coupling: part II - parametric resonance and stability.
- Authors
Gao, Hao; Yang, Bingen; Qu, Yegao; Meng, Guang
- Abstract
Flexible structures carrying moving rigid bodies with distributed coupling are seen in various engineering applications. Rigid bodies moving over a structure in a periodic or quasi-periodic manner could induce parametric resonance with ever-increasing amplitude in the structure. With distributed coupling between the structure and the rigid bodies, it is extremely difficult to find an analytical stability condition, which is straightforward for linear time-invariant (LTI) systems. In this second part of the two-part paper, with the new model of the coupled beam-moving rigid body system developed in the first part, a novel sequential state equation method (SSEM) was proposed to characterize the coupled dynamics of the structure-moving rigid body problem. The proposed method is not just computationally efficient in time response analysis, but also capable of delivering analytical stability conditions of the beam vibration. With the analytical stability criteria established, the stability of a Timoshenko beam under excitation of moving rigid bodies with distributed viscoelastic coupling was analytically determined via a constant mapping matrix without making any simplification. Numerical results verify the proposed method for stability analysis and reveal the effects of system parameters on the parametric resonance.
- Subjects
RIGID body mechanics; RIGID bodies; RESONANCE; FLEXIBLE structures; STABILITY criterion; SPACE frame structures; EQUATIONS of state
- Publication
Acta Mechanica, 2022, Vol 233, Issue 10, p4193
- ISSN
0001-5970
- Publication type
Article
- DOI
10.1007/s00707-022-03330-3