{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:39:10Z","timestamp":1760243950334,"version":"build-2065373602"},"reference-count":61,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2010,12,2]],"date-time":"2010-12-02T00:00:00Z","timestamp":1291248000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>One of the most intricate branches of metrology involves the monitoring of displacements and deformations of natural and anthropogenic structures under environmental forces, such as tidal or tectonic phenomena, or ground water level changes. Technological progress has changed the measurement process, and steadily increasing accuracy requirements have led to the continued development of new measuring instruments. The adoption of an appropriate measurement strategy, with proper instruments suited for the characteristics of the observed structure and its environmental conditions, is of high priority in the planning of deformation monitoring processes. This paper describes the use of precise digital inclination sensors in continuous monitoring of structural deformations. The topic is treated from two viewpoints: (i) evaluation of the performance of inclination sensors by comparing them to static and continuous GPS observations in deformation monitoring and (ii) providing a strategy for analyzing the structural deformations. The movements of two case study objects, a tall building and a geodetic monument in Istanbul, were separately monitored using dual-axes micro-radian precision inclination sensors (inclinometers) and GPS. The time series of continuous deformation observations were analyzed using the Least Squares Spectral Analysis Technique (LSSA). Overall, the inclinometers showed good performance for continuous monitoring of structural displacements, even at the sub-millimeter level. Static GPS observations remained insufficient for resolving the deformations to the sub-centimeter level due to the errors that affect GPS signals. With the accuracy advantage of inclination sensors, their use with GPS provides more detailed investigation of deformation phenomena. Using inclinometers and GPS is helpful to be able to identify the components of structural responses to the natural forces as static, quasi-static, or resonant.<\/jats:p>","DOI":"10.3390\/s101210803","type":"journal-article","created":{"date-parts":[[2010,12,2]],"date-time":"2010-12-02T12:49:51Z","timestamp":1291294191000},"page":"10803-10827","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["Evaluation of High-Precision Sensors in Structural Monitoring"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0854-788X","authenticated-orcid":false,"given":"Bihter","family":"Erol","sequence":"first","affiliation":[{"name":"Geomatics Engineering Department, Civil Engineering Faculty, Istanbul Technical University, Maslak 34469 Istanbul, Turkey"}]}],"member":"1968","published-online":{"date-parts":[[2010,12,2]]},"reference":[{"key":"ref_1","unstructured":"Erol, S (2008). Determination of Deformations with GPS and Leveling Measurements, Ph.D. Thesis, Istanbul Technical University, Institute of Science and Technology: Istanbul, Turkey,."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1007\/s10291-006-0023-y","article-title":"Full-Scale Structural Monitoring Using an Integrated GPS and Accelerometer System","volume":"6","author":"Li","year":"2006","journal-title":"GPS Solut"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"222","DOI":"10.1080\/13632460802014097","article-title":"Performance Evaluation of a Strengthened Building Considering the Soil-Structure Interaction","volume":"12","author":"Girgin","year":"2008","journal-title":"J Earthqu Eng"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1080\/13632460802014188","article-title":"Comparative Study of European Earthquake Loss Estimation Tools for a Scenario in Istanbul","volume":"12","author":"Strasser","year":"2008","journal-title":"J Earthqu Eng"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1080\/13632460802013925","article-title":"Seismic Hazard in the Istanbul Metropolitan Area: A Preliminary Re-Evaluation","volume":"12","author":"Kalkan","year":"2008","journal-title":"J Earthqu Eng"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1016\/S0267-7261(00)00094-4","article-title":"GPS in Dynamic Monitoring of Long-period Structures","volume":"20","year":"2000","journal-title":"Soil Dynam Earthquake Eng"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"9873","DOI":"10.3390\/s91209873","article-title":"Use of Terrestrial Laser Scanning Technology for Long Term High Precision Deformation Monitoring","volume":"9","author":"Sterle","year":"2009","journal-title":"Sensors"},{"key":"ref_8","first-page":"207","article-title":"The Analysis of Photogrammetric Deformation Measurements on Turtle Mountain","volume":"51","author":"Fraser","year":"1985","journal-title":"Photogramm Eng Remote Sens"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1193\/1.1461375","article-title":"GPS in Pioneering Dynamic Monitoring of Long-Period Structures","volume":"18","year":"2002","journal-title":"Earthq Spectra"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1061\/(ASCE)0733-9453(1995)121:1(35)","article-title":"Dynamic Deformation Monitoring of Tall Structure Using GPS Technology","volume":"129","author":"Lovse","year":"1995","journal-title":"J Surv Eng"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1061\/(ASCE)0733-9453(2004)130:2(65)","article-title":"Integrating a Global Positioning System and Accelerometers to Monitor the Deflection of Bridges","volume":"130","author":"Roberts","year":"2004","journal-title":"J Surv Eng"},{"key":"ref_12","first-page":"44","article-title":"Smart RTS: Monitoring Highly Dynamic Structures","volume":"22","author":"Gikas","year":"2008","journal-title":"GIM Int"},{"key":"ref_13","unstructured":"Gikas, V, and Daskalakis, S (2009, January 1\u20133). Contribution of Combined RTS and TLS to Dynamic Monitoring of Wind Energy Turbines. Vienna, Austria."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1139\/geomat-1991-0040","article-title":"Problems and Solutions in the Integrated Monitoring and Analysis of Dam Deformations","volume":"45","author":"Chrzanowski","year":"1991","journal-title":"CISM J"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"244","DOI":"10.1007\/978-3-540-38596-7_30","article-title":"Analyzing the Deformations of a Bridge Using GPS and Levelling Data","volume":"131","author":"Sanso","year":"2006","journal-title":"International Association of Geodesy Symposia"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1471","DOI":"10.1016\/j.engstruct.2006.02.001","article-title":"Monitoring Dynamic and Quasi-Static Deformations of Large Flexible Engineering Structures with GPS: Accuracy, Limitations and Promises","volume":"28","author":"Nickitopoulou","year":"2006","journal-title":"Eng Struct"},{"key":"ref_17","unstructured":"Gikas, V, and Daskalakis, S Comparative Testing and Analysis of RTS versus GPS for Structural Monitoring Using Calibration Measurements upon Sinusoidal Excitation. Available online: http:\/\/www.fig.net\/commission6\/lisbon_2008\/papers\/pas04\/pas04_01_gikas_mc023.pdf (assessed on 11 May 2010)."},{"key":"ref_18","unstructured":"\u00c7elebi, M Recent Development on Dynamic Monitoring of Structures. Available online: http:\/\/bupim.com\/yayinlar\/bupim-pdf\/ECAS74.pdf (accessed on 11 May 2010)."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"278","DOI":"10.1179\/sre.1998.34.267.278","article-title":"Strategies for the Accurate Determination of Orthometric Heights from GPS","volume":"34","author":"Featherstone","year":"1998","journal-title":"Surv Rev"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/s10291-006-0035-7","article-title":"Using GPS for Monitoring Tall-building Response to Wind Loading: Filtering of Abrupt Changes and Low-frequency Noise, Variography and Spectral Analysis of Displacements","volume":"11","author":"Hristopulos","year":"2007","journal-title":"GPS Solut"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"3074","DOI":"10.1016\/j.engstruct.2008.03.019","article-title":"Settlement Analysis of Mornos Earth Dam (Greece): Evidence from Numerical Modelling and Geodetic Monitoring","volume":"30","author":"Gikas","year":"2008","journal-title":"Eng Struct"},{"key":"ref_22","first-page":"134","article-title":"Static and Kinematic Testing of Tiltmeters: Facilities and Results","volume":"2","author":"Woschitz","year":"2007","journal-title":"Vermessung Geoinf"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"392","DOI":"10.1179\/003962608X325448","article-title":"Determining Rail Track Axis Geometry Using Satellite and Terrestrial Geodetic Data","volume":"40","author":"Gikas","year":"2008","journal-title":"Surv Rev"},{"key":"ref_24","first-page":"587","article-title":"Active Tectonics of the Eastern Mediterranean Region: Deduced from GPS, Neotectonic and Seismicity Data","volume":"40","author":"Barka","year":"1997","journal-title":"Ann Geofis"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1046\/j.1365-3121.1999.00248.x","article-title":"Active Faults in the Sea of Marmara, Western Turkey, Imaged by Seismic Reflection Profiles","volume":"11","author":"Parke","year":"1999","journal-title":"Terra Nova"},{"key":"ref_26","unstructured":"\u015earo\u011flu, F, Emer, O, and Ku\u015f\u00e7u, I Available online: http:\/\/www.mta.gov.tr\/mta_web\/dirifay1.asp (accessed on 3 June 2010)."},{"key":"ref_27","unstructured":"(1998). NIVEL20 Instruction Manuel, Handbook 308 592 EN-IX.98, Leica Geosystems AG."},{"key":"ref_28","unstructured":"Available online: http:\/\/earthquake.usgs.gov\/researh\/geology\/turkey\/index.php (accessed on 20 April 2010)."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1061\/(ASCE)0733-9453(2004)130:3(138)","article-title":"Figure Condition in Datum Transformation","volume":"130","year":"2004","journal-title":"J Surv Eng"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1007\/978-3-540-38596-7_14","article-title":"Monitoring and Analyzing Structural Movements with Precise Inclination Sensors","volume":"131","author":"Sanso","year":"2006","journal-title":"International Association of Geodesy Symposia"},{"key":"ref_31","unstructured":"Erol, B, and \u00c7elik, RN Using Inclination Sensors in Monitoring Large Structures. Available online: http:\/\/www.harita.selcuk.edu.tr\/arsiv\/semp_pdf\/236_245.pdf (accessed on 11 May 2010)."},{"key":"ref_32","unstructured":"Erol, S, Erol, B, and \u00c7elik, RN Monitoring and Analyzing Movements of Geodetic Monuments. Available online: http:\/\/www.fig.net\/pub\/fig2006\/papers\/ps06\/ps06_04_erol_etal_0601.pdf (accessed on 11 May 2010)."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jog.2006.12.005","article-title":"A Snapshot (2003\u20132005) of the 3D Postseismic Deformation for the 1999, Mw = 7.4 Izmit Earthquake in the Marmara Region, Turkey, by First Results of Joint Gravity and GPS Monitoring","volume":"44","author":"Ergintav","year":"2007","journal-title":"J. Geodynamics"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1007\/s001900050220","article-title":"Stochastic Significance of Peaks in the Least-Squares Spectrum","volume":"73","author":"Pagiatakis","year":"1999","journal-title":"J Geodesy"},{"key":"ref_35","first-page":"103","article-title":"Application of the Least Squares Spectral Analysis to Superconducting Gravimeter Data Treatment and Analysis","volume":"17","author":"Pagiatakis","year":"2000","journal-title":"Eur Cent Geodynamic Sysmology"},{"key":"ref_36","unstructured":"Wells, DE, Vani\u010dek, P, and Pagiatakis, SD (1985). Least Squares Spectral Analysis Revisited, Department of Surveying Engineering, University of New Brunswick. Technical Report 84."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"3321","DOI":"10.1088\/0957-0233\/18\/11\/009","article-title":"Temperature Variation Effects on Stochastic Characteristics for Low-Cost MEMS-Based Inertial Sensor Error","volume":"18","author":"Pagiatakis","year":"2007","journal-title":"Meas Sci Technol"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1007\/BF00651344","article-title":"Approximate Spectral Analysis by Least Squares Fit","volume":"4","year":"1969","journal-title":"Astrophys Space Sci D"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1007\/BF00656134","article-title":"Further Development and Properties of the Spectral Analysis by Least-Squares","volume":"12","year":"1971","journal-title":"Astrophys Space Sci"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1007\/BF00642907","article-title":"Some Tests of the Vani\u010dek Method of Spectral Analysis","volume":"17","author":"Taylor","year":"1972","journal-title":"Astrophys Space Sci"},{"key":"ref_41","unstructured":"Maul, GA, and Yanaway, A (1978). Deep Sea Tides Determination from GEOS-3, NOAA Atlantic Oceanographic and Meteorological Laboratories. NASA Contract Report 141435;."},{"key":"ref_42","unstructured":"Steeves, RR (1981). Estimation of Gravity Tilt Response to Atmospheric Phenomena at the Fredericton Tiltimetric Station, Using a Least Squares Response Method, Department of Surveying Engineering, University of New Brunswick. Technical Report 79;."},{"key":"ref_43","unstructured":"Merry, CL, and Vani\u010dek, P (1981). The Zero Frequency Response of Sea Level to Meteorological Influences, Department of Surveying Engineering, University of New Brunswick. Technical Report 82;."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/BF00305409","article-title":"Adjustment and Filtering Of SEASAT Altimetry with the Least Squares Response Technique","volume":"7","author":"Delikaraoglou","year":"1984","journal-title":"Mar Geophys Res"},{"key":"ref_45","unstructured":"Omerbashich, M (2003). Earth-Model Discrimination Method, Ph.D. Thesis, Graduate Academic Unit of Geodesy and Geomatics Engineering, The University of New Brunswick: Fredericton, Canada,."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1007\/BF00648343","article-title":"Least-Squares Frequency Analysis of Unequally Spaced Data","volume":"39","author":"Lomb","year":"1976","journal-title":"Astrophys Space Sci"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"835","DOI":"10.1086\/160554","article-title":"Studies in Astronomical Time Series Analysis. II. Statistical Aspects of Spectral Analysis of Unevenly Spaced Data","volume":"263","author":"Scargle","year":"1982","journal-title":"Astrophys J"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"1547","DOI":"10.1029\/93GL01707","article-title":"Eastward-Moving 24 Day in the Winter Antarctic Mesosphere","volume":"20","author":"Fraser","year":"1993","journal-title":"Geophys Res Lett"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1051\/aas:1999411","article-title":"Three Stage Period Analysis and Complementary Methods","volume":"139","author":"Jetsu","year":"1999","journal-title":"Astron Astrophys Suppl Ser"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1016\/0160-4120(96)00027-X","article-title":"Statistical Analysis of Indoor Bacterial Air Concentration and Comparison of Four RCS Biotest Samplers","volume":"22","author":"Straja","year":"1996","journal-title":"Environ Int"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1109\/10.678605","article-title":"Power Spectral Density of Unevenly Sampled Data by Least-Square Analysis: Performance and Application to Heart Rate Signals","volume":"45","author":"Laguna","year":"1998","journal-title":"IEEE Trans Biomed Eng"},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"809","DOI":"10.1007\/s00190-003-0357-y","article-title":"Impact of GPS Satellite and Pseudolite Geometry on Structural Deformation Monitoring: Analytical and Empirical Studies","volume":"77","author":"Meng","year":"2004","journal-title":"J Geodesy"},{"key":"ref_53","first-page":"103","article-title":"Preliminary Evaluation of Precise Inclination Sensors and GPS for Monitoring Full-Scale Dynamic Response of a Tall Reinforced Concrete Building","volume":"4","author":"Li","year":"2010","journal-title":"J Appl Geodesy"},{"key":"ref_54","unstructured":"Bond, DJ (2007). Bringing GPS into Harsh Environments for Deformation Monitoring, Ph.D. Thesis, Department of Geodesy and Geomatics Engineering, The University of New Brunswick: Fredericton, Canada,."},{"key":"ref_55","unstructured":"Ogaja, C, Rizos, C, and Han, S Available online: http:\/\/www.gmat.unsw.edu.au\/snap\/publications\/rpb_paper.pdf (accessed on 26 April 2010)."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"16547","DOI":"10.1029\/91JB01275","article-title":"Application of the Global Positioning System to Crustal Deformation Measurement 1. Precision and Accuracy","volume":"96","author":"Larson","year":"1991","journal-title":"J Geophys Res"},{"key":"ref_57","unstructured":"Vani\u010dek, P, and Krakiwsky, EJ (1986). Geodesy: The Concepts, Elsevier Science Pub. Co.. [2nd ed]."},{"key":"ref_58","unstructured":"Jenkins, GM, and Watts, DG (1968). Spectral Analysis and Its Applications, Holden-Day."},{"key":"ref_59","first-page":"1","article-title":"Recalculated Probability of M \u2265 7 Earthquakes Beneath the Sea of Marmara, Turkey","volume":"190","author":"Parsons","year":"2004","journal-title":"J Geophys Res"},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"1","DOI":"10.5081\/jgps.1.1.1","article-title":"The Modernization of GPS: Plans, New Capabilities and the Future Relationship to Galileo","volume":"1","author":"McDonald","year":"2002","journal-title":"J Glob Positioning Syst"},{"key":"ref_61","unstructured":"U.S. Air Force GPS Modernization Fact Sheet. Available online: http:\/\/www.pnt.gov\/public\/docs\/2006\/modernization.pdf (accessed on 10 November 2010)."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/10\/12\/10803\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T22:03:59Z","timestamp":1760220239000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/10\/12\/10803"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12,2]]},"references-count":61,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2010,12]]}},"alternative-id":["s101210803"],"URL":"https:\/\/doi.org\/10.3390\/s101210803","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2010,12,2]]}}}