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- Title
Nonlinear resonant response of a buckled beam coupled with a boundary massive oscillator.
- Authors
Chen, Hao; Guo, Tieding; Qiao, Wanzhi; Cong, Yunyue; Kang, Houjun
- Abstract
This study focuses on nonlinear modal resonant dynamics of a buckled beam coupled with a boundary massive oscillator. To reveal buckled beam–boundary oscillator coupling effect, extended Hamilton principle is employed to derive a dynamic model with geometric nonlinearity included, and direct multiple-scale method (i.e., attacking directly partial differential equations) is then applied to reduce the original infinite-dimensional beam–support coupled system, leading to nonlinear modulation equations characterizing reduced slow dynamics of the coupled system, by focusing on beam's one-to-one internally resonant dynamics around its first buckled shape. Time history responses, frequency responses, and Poincaré mapping are employed to investigate stability/bifurcation of nonlinear forced coupled dynamics, with one-to-one internal resonance activated or not.
- Subjects
MULTIPLE scale method; HAMILTON-Jacobi equations; PARTIAL differential equations; POINCARE maps (Mathematics); NONLINEAR equations; BEAM dynamics
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 5, p3217
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-09239-3