Methods for forewarning of critical condition changes in monitoring civil structures
Sensor modules ( 12 ) including accelerometers ( 20 ) are placed on a physical structure ( 10 ) and tri-axial accelerometer data is converted to mechanical power (P) data ( 41 ) which then processed to provide a forewarning ( 57 ) of a critical event concerning the physical structure ( 10 ). The forewarning is based on a number of occurrences of a composite measure of dissimilarity (C i ) exceeding a forewarning threshold over a defined sampling time; and a forewarning signal ( 58 ) is provided to a human observer through a visual, audible or tangible signal. A forewarning of a structural failure can also be provided based on a number of occurrences of (C i ) above a failure value threshold.
1. A method for processing data in a computing apparatus and signaling a forewarning of a failure of a physical structure, the method comprising:
acquiring data for each one of a plurality of channels of axis data provided by at least one sensor that incorporates a multi-axis accelerometer that is mounted on the physical structure;
computing process-indicative data, which is mechanical power data (P), from the multi-axial accelerometer data;
acquiring a plurality of sets of the process-indicative data;
computing a composite measure of dissimilarity (C i ) from normalized measures of dissimilarity (U) for distribution functions derived from a phase space for the plurality of sets of process-indicative data;
determining a forewarning threshold based on the composite measure (C i ) exceeding a straight line fit by more than a preselected number of standard deviations; and
in response to the composite measure (C 1 ) exceeding a forewarning threshold over a preselected number of occurrences, providing a forewarning signal to a human observer, through one or more of a visual signal, an audible signal and a tangible signal.
2. The method of claim 1 , further comprising:
computing a cumulative sum of the composite measure of dissimilarity (Σ i C i ) over a series of time frames;
applying a straight-line fit to the cumulative sum of composite measures (Σ i C i ) using a least squares calculation;
computing a standard deviation (σ 2 ) between the straight-line fit and the cumulative sum (Σ i C i ); and
determining a failure forewarning time threshold for detecting failure forewarnings, wherein said threshold corresponds to a time when there is a minimum in said standard deviation (σ 2 ).
3. The method of claim 1 , further comprising:
determining a time threshold for detecting failure forewarnings, wherein said time threshold corresponds to occurrence of a minimum in said standard deviation (σ 2 ) in relation to said straight-line fit;
determining a failure value threshold corresponding to a value of the composite measure of dissimilarity (C i ) occurring after said time threshold; and
providing a forewarning signal of an impending critical event to a human observer after either one of 1) a selected number of occurrences of the composite measure of dissimilarity (C i ) above the forewarning threshold or 2) after a selected number of occurrences of the composite measure of dissimilarity (C i ) above the failure value threshold.
4. The method of claim 1 , wherein the forewarning signal is provided at a computer that receives accelerometer data from the sensor through a network, the computer responding to such accelerometer data to provide such a forewarning signal after at least one of 1) a selected number of occurrences of the composite measure of dissimilarity (C i ) above the forewarning threshold or 2) after a selected number of occurrences of the composite measure of dissimilarity (C i ) above the failure value threshold.
5. The method of claim 1 , wherein the computation of a forewarning signal is performed at the sensor and a forewarning signal is transmitted via a network to a site where the forewarning signal causes the output the visual, audible or tangible signal to a human observer.
6. The method of claim 1 , wherein mechanical power (P) is computed from accelerometer data as P=A·∫dt A.
7. The method of claim 6 , wherein the computation of mechanical power is independent of an orientation of any accelerometer providing the accelerometer data.
8. The method of claim 1 , wherein the physical structure is a civil structure including at least of a bridge, a dam, a building and a tunnel.
9. The method of claim 1 , wherein the method is carried out in a sensor module mounted to the physical structure.
10. A sensor module for forewarning of a critical event in a larger-than-human-size physical structure, the sensor module comprising:
means for mounting the sensor module on the physical structure,
wherein the sensor module further comprises a multi-axis accelerometer producing accelerometer data for a plurality of axes of motion at a location on the physical structure;
wherein the sensor module further comprises a processor that executes program instructions for computing mechanical power data (P) from the accelerometer data;
wherein the processor computes a composite measure of dissimilarity (C i ) from normalized measures of dissimilarity for distribution functions derived from a phase space for a plurality of sets of mechanical power data;
wherein the processor computes a forewarning of an impending critical event based on either one of a 1) a selected number of occurrences of the composite measure of dissimilarity (C i ) above the forewarning threshold or 2) after a selected number of occurrences of composite measure of dissimilarity (C i ) above a failure value threshold; and
wherein the processor causes transmission of a forewarning signal of the impending critical event to a human observer, through one or more of a visual signal, an audible signal or a tangible signal.
11. The sensor module of claim 10 , wherein mechanical power (P) is computed from accelerometer data as P=A·∫dt A.
12. The sensor module of claim 11 , wherein the computation of mechanical power is independent of an orientation of any accelerometer providing the accelerometer data.
13. The sensor module of claim 10 , wherein the larger-than-human-size physical structure is a civil structure including at least of a bridge, a dam, a building and a tunnel.
14. A method for monitoring structural integrity of a physical structure, the method comprising:
sensing mechanical vibrations at a plurality of locations in the structure with a respective plurality of sensors each including a tri-axial accelerometer mounted on the structure for providing data;
converting tri-axial acceleration data into mechanical power (P) data representative of hysteresis strain energy at the plurality of locations on the structure;
collecting the mechanical power (P) data at a single processing device;
processing the mechanical power (P) data within the single processing device to provide a failure forewarning threshold of an impending failure of the structure based on a number of occurrences of the mechanical power data exceeding the failure forewarning threshold over a predetermined sampling time; and
wherein the forewarning signal is provided to a human observer through a visual, audible or tangible signal.
15. The method of claim 14 , wherein the mechanical power data is collected at a single processing device within a range of the physical structure determined by a range of a wireless local area network.
16. The method of claim 14 , wherein the mechanical power data is collected through a wide area network at a single processing device that is remote from the physical structure.
17. The method of claim 14 , wherein mechanical power (P) is computed from accelerometer data as P=A·∫dt A.
18. The method of claim 17 , wherein the computation of mechanical power is independent of an orientation of any accelerometer providing the accelerometer data.
19. The method of claim 14 , wherein the physical structure is a civil structure including at least of a bridge, a dam, a building and a tunnel.
20. A computer system for forewarning of a critical event in a larger-than-human-size physical structure, the system comprising:
a plurality of sensor units mounted on the physical structure, each including a tri-axial accelerometer and each producing data for a plurality of respective locations on the physical structure;
wherein the sensor units each include a radio transmitter for periodically transmitting radio signals carrying the accelerometer data representative of mechanical vibrations from the respective locations; and
a network gateway receiver receiving the radio signals from the sensor units and converting the radio signals to data for transmission over a wide area network;
a host computer receiving the accelerometer data transmitted through the wide area network;
wherein the host computer executes program instructions for computing vibration mechanical power data from multiple axes of accelerometer data for each respective sensor; and
providing a forewarning signal of an impending critical event to a human observer, through a visual, audible or tangible signal.
21. The computer system of claim 20 , wherein the host computer executes program instructions for:
computing a forewarning threshold for detecting failure forewarnings based on measures of dissimilarity computed for the tri-axial accelerometer data for each respective sensor;
determining a failure value threshold that signals an impending critical event based on exceeding the forewarning threshold a preselected number of occurrences; and
providing a visual or audible forewarning signal of the impending critical event to a human observer after either one of 1) a selected number of occurrences of C i above the forewarning threshold or 2) after a selected number of occurrences of C i above the failure value threshold.
22. The computer system of claim 20 , wherein the wide area network is a wired or wireless Internet network.
23. The computer system of claim 20 , wherein the larger-than-human-size physical structure is a civil structure including at least of a bridge, a dam, a building and a tunnel.
24. The computer system of claim 20 , wherein mechanical power (P) is computed from accelerometer data as P=A·∫dt A.
25. The computer system of claim 24 , wherein the computation of mechanical power is independent of an orientation of any accelerometer providing the accelerometer data.