Research Article

Nonparametric Monitoring for Geotechnical Structures Subject to Long-Term Environmental Change

Table 1

A summary of the nonparametric identification approaches employed in the case study for a full-scale retaining wall, subjected to long-term environmental variations.

MethodsData typePurposes

Empirical mode decomposition (EMD)UnivariateTo decompose nonlinear and nonstationary environmental variations of daily, seasonal and long-term trends from raw sensor measurements
To decompose complex raw measurements into simpler and physically “well-behaving” intrinsic mode functions for better understanding of the system

Hilbert-Huang transform (HHT)UnivariateTo obtain the instantaneous frequencies for nonlinear, non-stationary, time-varying systems
The obtained instantaneous frequencies could be used to detect changes in “abnormal” system characteristics in time

Principal component analysis (PCA)MultivariateTo find interchannel relationships with multi-input data (note that the EMD and HHT are single-channel data processing techniques)
To visualize the mode shapes of the system decomposed by the corresponding orthogonal principal components
To quantify the energy of inter-channel motions for each mode shape and find the dominant one