Cascade of Modal Interactions in Nanomechanical Resonators with Soft Clamping
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915782821150720 |
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| author | Li, Zichao Xu, Minxing Norte, Richard A. Aragón, Alejandro M. Steeneken, Peter G. Alijani, Farbod |
| author_facet | Li, Zichao Xu, Minxing Norte, Richard A. Aragón, Alejandro M. Steeneken, Peter G. Alijani, Farbod |
| contents | We uncover a chain of nonlinear modal interactions in softly clamped nanostring resonators. The process involves the sequential coupling of five mechanical modes, during frequency sweeps, yielding a broad nonlinear response with nearly constant amplitude. We demonstrate that soft clamping enables this cascaded energy transfer and amplifies the effective geometric nonlinearity of the driven mode by an order of magnitude. Analytical and finite element-based reduced-order models capture the key features of the coupling cascade and clarify its underlying mechanism. The phenomenon is generic in nonlinear vibrational systems and can be tailored through soft-clamping design strategies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00805 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cascade of Modal Interactions in Nanomechanical Resonators with Soft Clamping Li, Zichao Xu, Minxing Norte, Richard A. Aragón, Alejandro M. Steeneken, Peter G. Alijani, Farbod Mesoscale and Nanoscale Physics Applied Physics We uncover a chain of nonlinear modal interactions in softly clamped nanostring resonators. The process involves the sequential coupling of five mechanical modes, during frequency sweeps, yielding a broad nonlinear response with nearly constant amplitude. We demonstrate that soft clamping enables this cascaded energy transfer and amplifies the effective geometric nonlinearity of the driven mode by an order of magnitude. Analytical and finite element-based reduced-order models capture the key features of the coupling cascade and clarify its underlying mechanism. The phenomenon is generic in nonlinear vibrational systems and can be tailored through soft-clamping design strategies. |
| title | Cascade of Modal Interactions in Nanomechanical Resonators with Soft Clamping |
| topic | Mesoscale and Nanoscale Physics Applied Physics |
| url | https://arxiv.org/abs/2507.00805 |