PC Tendon Damage Detection Based on Change of Phase Space Topology

Shockwave is a high pressure and short duration pulse that induce damage and lead to progressive collapse of the structure. The shock load excites high-frequency vibrational modes and causes failure due to large deformation in the structure. Shockwave experiments were conducted by imparting repetitive localized shock loads to create progressive damage states in the structure. Two-phase novel damage detection algorithm is proposed, that quantify and segregate perturbative damage from microscale damage. The first phase performs dimension reduction and damage state segregation using principal component analysis (PCA). In the second phase, the embedding dimension was reduced through empirical mode decomposition (EMD). The embedding parameters were derived using singular system analysis (SSA) and average mutual information function (AMIF). Based, on Takens theorem and embedding parameters, the response was represented in a multidimensional phase space trajectory (PST). The dissimilarity in the multidimensional PST was used to derive the damage sensitive features (DSFs). The DSFs namely: (i) change in phase space topology (CPST) and (ii) Mahalanobis distance between phase space topology (MDPST) are evaluated to quantify progressive damage states. The DSFs are able to quantify the occurrence, magnitude, and localization of progressive damage state in the structure. The proposed algorithm is robust and efficient to detect and quantify the evolution of damage state for extreme loading scenarios.

Using vibration phase space topology changes for structural damage detection

Structural Health Monitoring ◽

10.1177/1475921712447590 ◽

2012 ◽

Vol 11 (5) ◽

pp. 538-557 ◽

Cited By ~ 25

Author(s):

Zhenhua Nie ◽

Hong Hao ◽

Hongwei Ma

Keyword(s):

Phase Space ◽

Damage Detection ◽

Structural Damage ◽

Structural Damage Detection ◽

Space Topology ◽

Topology Changes ◽

Phase Space Topology

PC Tendon Damage Detection Based on Phase Space Topology Changes in Different Frequency Ranges

Journal of Advanced Concrete Technology ◽

10.3151/jact.17.474 ◽

2019 ◽

Vol 17 (8) ◽

pp. 474-488

Author(s):

Porjant Tuttipongsawat ◽

Eiichi Sasaki ◽

Keigo Suzuki ◽

Masato Fukuda ◽

Naoki Kawada ◽

...

Keyword(s):

Phase Space ◽

Damage Detection ◽

Space Topology ◽

Topology Changes ◽

Phase Space Topology

Structural interrogation using phase space topology of the wind-induced responses

Journal of Vibration and Control ◽

10.1177/1077546317701661 ◽

2017 ◽

Vol 24 (14) ◽

pp. 3148-3172

Author(s):

Riya C George ◽

Sudib K Mishra

Keyword(s):

Phase Space ◽

Structural Damage ◽

Model Building ◽

Chaotic Signal ◽

Experimental Investigations ◽

Damage Scenarios ◽

Space Topology ◽

Frame Building ◽

Low Dimensional ◽

Phase Space Topology

The applicability of the phase space interrogation (PSI) methodology for structural health monitoring (SHM) is limited on account of the fact that the structure needs to be excited by a low dimensional chaotic signal. The present study demonstrates that the phase space interrogation can still be applied to structures subjected to ambient/moderate wind excitations. Key to this extension is the relative low dimensionality of the wind-induced structural responses, amenable to phase space embedding by virtue of Takens’ embedding theorem. The so-formed pseudo-attractor is shown to sufficiently reflect the changes in system dynamics induced by structural damage(s). A widely employed damage feature, namely, the changes in phase space topology (CPST) is subsequently employed to the reconstructed attractor to link it with the presence, severity, as well as localization of damage(s). The CPST is established as a legitimate damage-sensitive feature by studying its variability with alternative damage scenarios in a multistoried frame building subjected to wind excitations. The performance of the methodology is demonstrated under different degrees of noise contamination in the measured responses as well as varying intensity of wind speed. The statistical robustness of the procedure is also assessed. The numerical findings are supported by the evidence from a limited number of experimental investigations carried out on a model building with inflicted damage scenarios. The wind loadings for the tests are simulated using a wind tunnel testing facility. Finally, a simple analysis is presented that establish the viability of the phase space analysis analytically.

Characterization of the nonlinear response of defective multi-DOF oscillators using the method of phase space topology (PST)

Nonlinear Dynamics ◽

10.1007/s11071-016-3012-x ◽

2016 ◽

Vol 86 (3) ◽

pp. 2023-2034 ◽

Cited By ~ 2

Author(s):

M. Samadani ◽

C. A. Kitio Kwuimy ◽

C. Nataraj

Keyword(s):

Phase Space ◽

Nonlinear Response ◽

Space Topology ◽

Phase Space Topology

A Review of Phase Space Topology Methods for Vibration-Based Fault Diagnostics in Nonlinear Systems

Journal of Vibration Engineering & Technologies ◽

10.1007/s42417-019-00157-6 ◽

2019 ◽

Vol 8 (3) ◽

pp. 393-401 ◽

Cited By ~ 2

Author(s):

T. Haj Mohamad ◽

Foad Nazari ◽

C. Nataraj

Keyword(s):

Phase Space ◽

Nonlinear Systems ◽

Dynamic Systems ◽

Dynamical Behavior ◽

Fault Diagnostics ◽

Nonlinear Dynamical ◽

Space Topology ◽

Nonlinear Features ◽

Phase Space Topology

Abstract Background In general, diagnostics can be defined as the procedure of mapping the information obtained in the measurement space to the presence and magnitude of faults in the fault space. These measurements, and especially their nonlinear features, have the potential to be exploited to detect changes in dynamics due to the faults. Purpose We have been developing some interesting techniques for fault diagnostics with gratifying results. Methods These techniques are fundamentally based on extracting appropriate features of nonlinear dynamical behavior of dynamic systems. In particular, this paper provides an overview of a technique we have developed called Phase Space Topology (PST), which has so far displayed remarkable effectiveness in unearthing faults in machinery. Applications to bearing, gear and crack diagnostics are briefly discussed.

Phase-space topology in the dynamics of cyclotron-masers with macroparticles

Physica Scripta ◽

10.1088/0031-8949/46/2/011 ◽

1992 ◽

Vol 46 (2) ◽

pp. 173-176 ◽

Cited By ~ 1

Author(s):

F B Rizzato

Keyword(s):

Phase Space ◽

Space Topology ◽

Phase Space Topology

Non-universality of anomalous transport

Journal of Plasma Physics ◽

10.1017/s002237789800659x ◽

1998 ◽

Vol 59 (4) ◽

pp. 671-682 ◽

Cited By ~ 3

Author(s):

G. M. ZASLAVSKY

Keyword(s):

Phase Space ◽

Hamiltonian Systems ◽

Parameter Space ◽

Chaotic Dynamics ◽

Anomalous Transport ◽

Kinetic Description ◽

Space Topology ◽

Low Dimensional ◽

Phase Space Topology

For low-dimensional Hamiltonian systems with chaotic dynamics, we discuss the differences in the kinetic description, and the necessity of windowing of the time and parameter space, which is imposed by the differences in the phase-space topology and by the stickiness of trajectories at island boundaries.

Reconstructed Phase Space-Based Damage Detection Using a Single Sensor for Beam-Like Structure Subjected to a Moving Mass

Shock and Vibration ◽

10.1155/2017/5687837 ◽

2017 ◽

Vol 2017 ◽

pp. 1-20 ◽

Cited By ~ 4

Author(s):

Zhenhua Nie ◽

Tuan Ngo ◽

Hongwei Ma

Keyword(s):

Phase Space ◽

Damage Detection ◽

Structural Damage ◽

Moving Mass ◽

Filter Function ◽

Vibration Responses ◽

Reconstructed Phase Space ◽

Single Sensor ◽

Structure Vibration ◽

Phase Space Topology

This paper presents a novel damage detection method based on the reconstructed phase space of vibration signals using a single sensor. In this approach, a moving mass is applied as excitation source, and the structure vibration responses at different positions are measured using a single sensor. A Moving Filter Function (MFF) is also presented to be used to separate and filter the responses before phase space reconstruction. Using the determined time delay and embedding dimensions, the responses are translated from time domain into the spatial domain. The index CPST (changes of phase space topology) values are calculated from the reconstructed phase space and used to identify structural damage. To demonstrate the method, six analysis scenarios for a beam-like structure considering the moving mass magnitude, damage location, the single sensor location, moving mass velocity, multiple types of damage, and the responses contaminated with noise are calculated. The acceleration and displacement responses are both used to identify the damage. The results indicate that the proposed method using displacement response is more sensitive to damage than that of acceleration responses. The results also proved that the proposed method can use a single sensor installed at different location of the beam to locate the damage/much damage reliably, even though the responses are contaminated with noise.

Mahalanobis distance among the phase portraits as damage feature

Structural Health Monitoring ◽

10.1177/1475921717722743 ◽

2017 ◽

Vol 17 (4) ◽

pp. 869-887 ◽

Cited By ~ 5

Author(s):

Riya C George ◽

Sudib K Mishra ◽

Mohit Dwivedi

Keyword(s):

Phase Space ◽

Phase Portrait ◽

Mahalanobis Distance ◽

Distance Measure ◽

Dynamic Responses ◽

Phase Portraits ◽

Wheel Load ◽

Space Topology ◽

Bridge Model ◽

Phase Space Topology

A number of damage-sensitive features have been proposed based on the damage-induced changes in the phase portrait, reconstructed from the measured dynamic responses of structure. Of a number of alternatives, the change in phase space topology is the most widely acclaimed for assessment of structural health. In this study, a damage feature is proposed by contrasting the damaged phase portrait with the pristine one. The contrast is expressed using the Mahalanobis distance measure, which is remarkably simpler than the change in phase space topology in algorithmic aspect. The feature is referred as Mahalanobis distance among the phase portraits. The performance of the feature is demonstrated by its sensitivity and localization of damage. The noise immunity study reveals reasonable tolerance to the measurement noise. The feature is numerically illustrated on a shear building subjected to Lorentz chaotic excitations and natural wind excitations. The feature is experimentally verified in a railway bridge model subjected to moving wheel load of a model train. The results show the effectiveness of the feature for localizing both the support damage (as in bearing) and damage in the span. Simple analytical argument is also provided to link the phase portrait distortion with the extent and localization of damage(s).