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Research Ideas & Techniques

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Quick notes of technologies learned during reviewing or random readings.

Non-invasive monitoring

Ambient Vibration Modal Analysis (AVMA)

S_out(\omega) = |H(\omega)|^2 S_in(\omega)

AVMA treat the target as a filter \(H(\omega)\) under hypothetical broadband white noise (Spectrum \(S(\omega)\) ) ambient vibrations and conduct Frequency Domain Decomposition to retrieve the natural frequency of it.

Mechanics

Modified-Cam-Clay Model

Ref: {Itasca}. It consists of a consolidation-driven strain model and stress.

peridynamics

Handbook of Peridynamics {PDF-Link}, Youtube {Link} of PeriDynOperator

\frac{\partial^{n} f(\mathbf{x})}{\partial x^{n}} \approx \int_{\mathcal{H}} f(\mathbf{x}+\boldsymbol{\xi}) g^{n}(\boldsymbol{\xi}) d V_{\boldsymbol{\xi}}

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