Cascade of Modal Interactions in Nanomechanical Resonators with Soft Clamping

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Authors: Zichao Li, Minxing Xu, Richard Norte, Alejandro M. Aragón, Peter G. Steeneken, Farbod Alijani
Cited by: 4
References: 43

Abstract

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.

Fields of Study & Subjects

Mechanical and Optical Resonators Nonlocal and gradient elasticity in micro/nano structures Force Microscopy Techniques and Applications

Publication details

Journal / source
Physical Review Letters
Publisher
American Physical Society (APS)
Volume
136
Issue
9
Pages
097202–097202
Publication date
3 February 2026
Language
EN