Coupled resonators represent
a generic model for many physical
systems. In this context, a microcantilever is a multimode resonator
clamped at one end, and it finds extensive application in high-precision
metrology and is expected to be of great potential use in emerging
quantum technologies. Here, we explore the microcantilever as a flexible
platform for realizing multimode nonlinear interactions. Multimode
nonlinear coupling is achieved by (1:2) internal resonance (IR) and
parametric excitation with efficient coherent energy transfer. Specifically,
we demonstrate abundant tunable parametric behaviors via frequency
and voltage sweeps; these behaviors include mode veering, degenerate
four-wave mixing (D4WM) with satellite resonances, partial amplitude
suppression, acoustic frequency comb (AFC) generation, mechanically
induced transparency (MIT), and normal-mode splitting. The experiments
depict a new scheme for manipulating multimode microresonators with
IR and parametric excitation.