Abstract
Propagating guided waves in a homogeneous, isotropic, prestressed, hyperelastic plate show nonlinear characteristics that depend on the state of initial prestress. These nonlinear phenomena include higher harmonic generation, occurring when Lamb wave modes of different frequencies (ωa and ωb) are allowed to mix within the material generating secondary waves at frequencies 2ωa,2ωbandωa±ωb . Further, if prescribed internal-resonance conditions are satisfied, the amplitude of secondary waves increases in space, providing a response quantity which is dependent on prestress and easy to be observed. Using the finite element method, in this paper we investigate the time and space evolution of higher harmonics arising in one-way wave mixing. The influence of prestress on the response is elucidated, observing the nonlinear parameter β . It is further shown that the nonlinear ultrasonic technique called sideband peak count-index (SPC-I) can provide an effective monitoring tool for prestress.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 15749-15766 |
| Number of pages | 18 |
| Journal | Nonlinear Dynamics |
| Volume | 111 |
| Issue number | 17 |
| DOIs | |
| State | Published - Sep 2023 |
Keywords
- Initial stress
- Internal resonance
- Nonlinear ultrasounds
- Sideband peak count-index technique
- Wave-mixing
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Electrical and Electronic Engineering
- Applied Mathematics