Research Article Active Sensing Based Bolted Structure Health Monitoring Using Piezoceramic Transducers

Similar documents
Research Article An Investigation of Structural Damage Location Based on Ultrasonic Excitation-Fiber Bragg Grating Detection

Research Article Modified Dual-Band Stacked Circularly Polarized Microstrip Antenna

Research Article A Parallel-Strip Balun for Wideband Frequency Doubler

Research Article Harmonic-Rejection Compact Bandpass Filter Using Defected Ground Structure for GPS Application

Research Article Damage Localization and Quantification of Truss Structure Based on Electromechanical Impedance Technique and Neural Network

Research Article A New Kind of Circular Polarization Leaky-Wave Antenna Based on Substrate Integrated Waveguide

Research Article Miniaturized Circularly Polarized Microstrip RFID Antenna Using Fractal Metamaterial

Research Article A Miniaturized Triple Band Monopole Antenna for WLAN and WiMAX Applications

Research Article Preparation and Properties of Segmented Quasi-Dynamic Display Device

Research Article Quadrature Oscillators Using Operational Amplifiers

Research Article A Miniaturized Meandered Dipole UHF RFID Tag Antenna for Flexible Application

EXPERIMENTAL ANALYSIS OF BOLT LOOSENING DYNAMICS CHARACTERISTIC IN A BEAM BY IMPACT TESTING

Research Article Multiband Planar Monopole Antenna for LTE MIMO Systems

Research Article Compact Dual-Band Dipole Antenna with Asymmetric Arms for WLAN Applications

Research Article Theoretical and Experimental Results of Substrate Effects on Microstrip Power Divider Designs

Research Article Compact Antenna with Frequency Reconfigurability for GPS/LTE/WWAN Mobile Handset Applications

Research Article Small-Size Meandered Loop Antenna for WLAN Dongle Devices

Research Article High Efficiency and Broadband Microstrip Leaky-Wave Antenna

Research Article Cross-Slot Antenna with U-Shaped Tuning Stub for Ultra-Wideband Applications

Research Article A Wide-Bandwidth Monopolar Patch Antenna with Dual-Ring Couplers

Research Article A New Capacitor-Less Buck DC-DC Converter for LED Applications

Research Article Novel Design of Microstrip Antenna with Improved Bandwidth

Research Article CPW-Fed Wideband Circular Polarized Antenna for UHF RFID Applications

DEVELOPING AN AUTONOMOUS ON-ORBIT IMPEDANCE-BASED SHM SYSTEM FOR THERMAL PROTECTION SYSTEMS

Research Article A Design of Wide Band and Wide Beam Cavity-Backed Slot Antenna Array with Slant Polarization

Research Article A Novel Method for Ion Track Counting in Polycarbonate Detector

Research Article A Very Compact and Low Profile UWB Planar Antenna with WLAN Band Rejection

Research Article Wideband Microstrip 90 Hybrid Coupler Using High Pass Network

Research Article Embedded Spiral Microstrip Implantable Antenna

Research Article Analysis and Design of Leaky-Wave Antenna with Low SLL Based on Half-Mode SIW Structure

Research Article A Multibeam Antenna Array Based on Printed Rotman Lens

Research Article Measurement of Microvibration by Using Dual-Cavity Fiber Fabry-Perot Interferometer for Structural Health Monitoring

Research Article Current Mode Full-Wave Rectifier Based on a Single MZC-CDTA

Research Article A New Translinear-Based Dual-Output Square-Rooting Circuit

Theoretical and Experimental Investigation of Fiber Bragg Gratings With Different Lengths for Ultrasonic Detection

Research Article Very Compact and Broadband Active Antenna for VHF Band Applications

Title: Reference-free Structural Health Monitoring for Detecting Delamination in Composite Plates

Research Article Design of a Novel UWB Omnidirectional Antenna Using Particle Swarm Optimization

Research Article A High-Isolation Dual-Polarization Substrate-Integrated Fabry-Pérot Cavity Antenna

Application Article Synthesis of Phased Cylindrical Arc Antenna Arrays

Instantaneous Baseline Damage Detection using a Low Power Guided Waves System

Research Article Fast Comparison of High-Precision Time Scales Using GNSS Receivers

Research Article CPW-Fed Slot Antenna for Wideband Applications

Wind turbine blade health monitoring with piezoceramic-based wireless sensor network

Graduate University of Chinese Academy of Sciences (GUCAS), Beijing , China 3

Research Article Compact and Wideband Parallel-Strip 180 Hybrid Coupler with Arbitrary Power Division Ratios

Research Article Effect of Parasitic Element on 408 MHz Antenna for Radio Astronomy Application

Linear and Nonlinear Finite Element Simulation of Wave Propagation through Bolted Lap Joint

Experiments on the Testing Sensitivity for Microstructure Evolutions of Coatings by Electro-Mechanical Impedance Method in khz and MHz Frequencies

Research Article Calculation of Effective Earth Radius and Point Refractivity Gradient in UAE

Finite Element Analysis and Test of an Ultrasonic Compound Horn

Nonlinear Ultrasonic Damage Detection for Fatigue Crack Using Subharmonic Component

(Gibbons and Ringdal 2006, Anstey 1964), but the method has yet to be explored in the context of acoustic damage detection of civil structures.

Research Article A Broadband Circularly Polarized Stacked Probe-Fed Patch Antenna for UHF RFID Applications

Hybrid Passive/Active Impact Detection & Localization for Aerospace Structures Seth S. Kessler and Eric B. Flynn. Metis Design Corporation

Design of a Piezoelectric-based Structural Health Monitoring System for Damage Detection in Composite Materials

Research Article A Compact CPW-Fed UWB Antenna with Dual Band-Notched Characteristics

Application Article Improved Low-Profile Helical Antenna Design for INMARSAT Applications

Research Article Design and Optimization of a Millimetre Wave Compact Folded Magic-T

Validation of a Lamb Wave-Based Structural Health Monitoring System for Aircraft Applications

Research Article A MIMO Reversed Antenna Array Design for gsm1800/td-scdma/lte/wi-max/wilan/wifi

1681. Omni-directional damage detection and localization with a cruciform piezoelectric ultrasonic phased array

Application Article Design of RFID Reader Antenna for Exclusively Reading Single One in Tag Assembling Production

SHM of CFRP-structures with impedance spectroscopy and Lamb waves

Instantaneous Baseline Structural Damage Detection Using a Miniaturized Piezoelectric Guided Waves System

Research Article A Novel Subnanosecond Monocycle Pulse Generator for UWB Radar Applications

Sub-Frequency Interval Approach in Electromechanical Impedance Technique for Concrete Structure Health Monitoring

Research Article Compact Multiantenna

Investigation on Sensor Fault Effects of Piezoelectric Transducers on Wave Propagation and Impedance Measurements

PARAMETERS THAT INFLUENCE THE ULTRASONIC BOND QUALITY

Multiple crack detection of pipes using PZT-based guided waves

Application Research on Hydraulic Coke Cutting Monitoring System Based on Optical Fiber Sensing Technology

Experimental Vibration-based Damage Detection in Aluminum Plates and Blocks Using Acoustic Emission Responses

Research Article Study on Noise Prediction Model and Control Schemes for Substation

Research Article Optimization of Gain, Impedance, and Bandwidth of Yagi-Uda Array Using Particle Swarm Optimization

Reference-free delamination detection using Lamb waves

A multi-mode structural health monitoring system for wind turbine blades and components

Chapter 30: Principles of Active Vibration Control: Piezoelectric Accelerometers

Development of High Temperature Acoustic Emission Sensing System Using Fiber Bragg Grating

Kissing bonds monitoring using nonlinear vibro-acoustic wave modulations

ULTRASOUND IN CFRP DETECTED BY ADVANCED OPTICAL FIBER SENSOR FOR COMPOSITE STRUCTURAL HEALTH MONITORING

Research Article Final Machining of Large-Scale Engine Block with Modularized Fixture and Virtual Manufacturing Technologies

CRACK PROPAGATION MEASUREMENT USING A BATTERY-FREE

EMBEDDED NON-DESTRUCTIVE EVALUATION FOR DAMAGE DETECTION USING PIEZOELECTRIC WAFER ACTIVE SENSORS

Ultrasonic Guided Wave Applications

Study of multi physical parameter monitoring device based on FBG sensors demodulation system

Properties of Interdigital Transducers for Lamb-Wave Based SHM Systems

In-Situ Damage Detection of Composites Structures using Lamb Wave Methods

VOLTAGE-MODE UNIVERSAL BIQUADRATIC FILTER USING TWO OTAs

1484. Ultrasonic phased array with dispersion compensation for monitoring multiple damages in structures

An Experimental Evaluation of the Application of Smart Damping Materials for Reducing Structural Noise and Vibrations

PARTIALLY ACTIVE-R GROUNDED-CAPACITOR

Effect of temperature on modal characteristics of steel-concrete composite bridges: Field testing

Research Article Improved Switching Energy Reduction Approach in Low-Power SAR ADC for Bioelectronics

Wojciech BATKO, Michał KOZUPA

Design and Experiment of PZT Network-based Structural Health Monitoring Scanning System

NOVEL TWO-DIMENSIONAL (2-D) DEFECTED GROUND ARRAY FOR PLANAR CIRCUITS

Research Article Output Signal Power Analysis in Erbium-Doped Fiber Amplifier with Pump Power and Length Variation Using Various Pumping Techniques

Research Article Feasibility of UAV Link Space Diversity in Wooded Areas

DIGITALLY PROGRAMMABLE PARTIALLY ACTIVE-R SINUSOIDAL OSCILLATORS

Transcription:

Distributed Sensor Networks Volume 213, Article ID 58325, 6 pages http://dx.doi.org/1.1155/213/58325 Research Article Active Sensing Based Bolted Structure Health Monitoring Using Piezoceramic Transducers R. L. Wang, 1 H. Gu, 2 and G. Song 2,3 1 School of Civil Engineering, Wuhan University, Wuhan, Hubei 4372, China 2 Department of Mechanical Engineering, University of Houston, Houston, TX 7724, USA 3 School of Civil Engineering, Dalian University of Technology, Dalian, Liaoning 11624, China Correspondence should be addressed to G. Song; gsong@uh.edu Received 6 July 213; Accepted 15 September 213 Academic Editor: Hong-Nan Li Copyright 213 R. L. Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Bolted structures are commonly used in civil infrastructure. It is important to perform bolt inspection regularly to ensure the safety of structures. Traditional bolt inspection methods are time-consuming; moreover, bulky instruments are needed in these methods. In this paper, a piezoceramic based active sensing approach is developed to perform the health monitoring of bolted structures. Surface-bonded piezoceramic patches are used as health monitoring transducers. Wavelet packet analysis is used to analyze the sensor data to extract the features that indicate bolt looseness. Based on wavelet packet analysis results, a damage index is developed to quantitatively evaluate the damage status. To verify the effectiveness of the proposed method, a bolted connection experiment with piezoceramic transducers was performed. In the experiment, the looseness of the bolt is adjusted by a torque wrench. Experimental results show that the proposed approach is effective to detect and evaluate bolt looseness. 1. Introduction Bolts are commonly used in civil infrastructure where the inspection of bolts is extremely labor intensive. To reduce inspection labor and enhance safety, real-time health monitoring technologies have been recently researched for bolt inspection, such as an impedance based method [1 4], a vibration or ultrasonic based method [5, 6], and an electric conductivity based method [7]. Due to the advantages of low cost, quick response, and solid-state actuation, piezoceramic materials have been used as transducers for health monitoring purposes. In addition, an active sensing approach hasbeenusedinthehealthmonitoringofvariouscivil infrastructures [8 13]. Recently, a proof-of-concept study of monitoring bolt connection status using a piezoelectric based active sensing method was conducted [14]. The proofof-concept study only involves a pair of bolt-and-nut that connect two small metal plates. No meaningful structure was involved in the proof-of-concept study. In this paper, using piezoceramic materials, an active sensing based approach is further developed and applied to perform health monitoring of a bolted connection in light pole structure. During the experiment, different torque values were applied to tighten a bolt connection on the structure to simulate the damage of different degrees of looseness. The proposed health monitoring approach was performed to evaluate the health status of theboltconnectiononarealstructure.adamageindexwas developed to quantitatively evaluate the severity of the bolt looseness. Experimental results verified the effectiveness of the proposed approach. 2. Monitoring Principle and Algorithm For various degrees of looseness of a bolt, the stiffness around the screwed area and the boundary conditions of the bolt are different. The changes in the stiffness and boundary conditions result in the alternation in the wave propagation. Thus, the bolt inspection can be performed by analyzing the wave responses across the bolted connection. In the proposed research, the active sensing approach is used; that is, a piezoceramic transducer bonded on the surface of a bolt is used as an actuator to generate the stress wave, while

2 Distributed Sensor Networks S A D AA AD DA DD AAA AAD ADA ADD DAA DAD DDA DDD S=AAA + AAD + ADA + ADD + DDA + DAD + DDA + DDD Figure 1: Decomposition of wavelet packet analysis. Bolt PZT (a) (b) Figure 2: Piezoceramic transducer (actuator) bonded on the bolt cap. another piezoceramic transducer bonded on the other side of the screwed area is used as the sensor to detect the responses. By analyzing the response signals, the health status of the boltisevaluated.waveletpacketanalysisisusedasthesignal processing tool due to the fact that it enables the inspection of relatively narrow frequency bands over a relatively short time window. In wavelet analysis, a signal is split into an approximation (low frequency information) and a detail (high frequency information). The approximation is then itself split into a second-level approximation and its detail, and then the process is repeated. In wavelet packet analysis, not only the approximations are decomposed into the next level s approximations and details but also the details are decomposed into the next level s approximations and details. Thisprocessisrepeatedasshowninthedecompositiontreein Figure 1. In Figure 1, the letter A stands for Approximation and the letter D stands for Detail. In the proposed health monitoring algorithm, the sensor signal S is decomposed by an n-level wavelet packet decomposition into 2 n signal subsets {X 1,X 2,...,X 2 n} and thedecomposedsubsetx j is written as X j =[x j,1,x j,2,...,x j,m ], (j=1,2,...,2 n ), (1) where m is the amount of sampling data. The decomposed subset for the health state (where the bolt is fully tightened) is written as X jh =[x jh,1,x jh,2,...,x jh,m ], (j=1,2,...,2 n ). (2) PZT Figure 3: Piezoceramic transducer (sensor) bonded on the other side. The damage index for the decomposed signal at the jth frequency band is defined as I j = m i=1 (x jh,i x j,i ) 2 m i=1 x2 jh,i. (3) The proposed damage index I j shows the wave transmission energy ratio at the jth frequency band compared with the transmission energy when the bolt is fully tightened.

Distributed Sensor Networks 3.5.5 2 4 6 8 1.5.5 2 4 6 8 1.5 1.5 2 4 6 8 1.5 1.5 2 4 6 8 1 Figure 4: Time response comparison for sweep sine wave responses. 3. Experimental Setup and Testing Program In this health monitoring test, a bolt connection that joins two plates in a pole structure was used as a testing object, as shown in Figure 2(a). Different values of torque were applied to gradually tighten the bolt and piezoceramics were used as health monitoring transducers. The proposed active sensing approach was implemented to evaluate the health status of the bolt during the tightening process. At present, the most widely used piezoceramic material is the lead zirconate titanate (PZT) due to its strong piezoelectric effect and wide availability. In this experiment, one PZT patch is attached ontheboltasanactuatorasshowninfigure 2(b), and another PZT patch is attached on the other side of the plate as a sensor, as shown in Figure 3. ThedSPACE114isused as the data acquisition system. During the experiment, the bolt looseness was controlled by a torque wrench. In the experiment, the torque was gradually increased from 2.5 foot-pounds to a maximum allowable value of 17.5 footpounds.theproposedactivesensingbasedhealthmonitoring approach was implemented to evaluate the bolt looseness. 4. Experimental Results During the health monitoring test, a sweep sine wave was usedastheexcitationsourceforthepztpatchbonded on the surface of the bolt. The PZT patch bonded on the surface of the plate on the other side of the connection was used as a sensor. The sweep sine wave starts at 1 Hz and ends at 12 KHz with a period of 1 seconds. Wavelet packet analysis is used as the signal processing tool to extract the damage features. Daubechies wavelet (db1) is used as the mother wavelet. The decomposition level for the wavelet packet analysis is 3 and the sensor signals are decomposed into 8 subsets in different frequency bands. The proposed damage index is used to evaluate the damage status on the bolt. From the time response comparison, shown in Figure 4, it is observed that there are some differences around 8 1 seconds for different torque cases; however, the differences are not very obvious. The wavelet packet analysis will be used here to further analyze the data. To extract more detailed damage information, the time responses were decomposed into 8 subsets by wavelet packet analysis. Figure 5 shows the decomposed signals in 8 frequency bands, respectively. It is noted from Figure 5 that the time responses in the frequency bands DAA (5th), DDA (6th), and DDD (8th) have very low energy levels as compared to the rest the frequency bands and will not be used for further consideration. For the frequency bands that have much higher energy levels, that is, the 1st, 2nd, 3rd, 4th, and 7th frequency bands (AAA, AAD, ADA, ADD, and DDA), a comparison of the decomposed signals reveals that there is an obvious difference between each case. During the process of tightening the bolt with increasing torque, the stiffness and boundary conditions changed significantly,whichresultedinthechangeofwavepropagation at different frequency ranges. To visually show the damage development, damage indices of different frequency bands are shown in Figure 6.Thedamageindexfigurequantitatively reveals the damage severities under different degrees of bolt looseness. From the experimental results shown in Figure 6, it is clear that the damage becomes more severe with less torque applied on the bolt, which means that the proposed wavelet packet based damage index can be used to represent the severity of bolt looseness. 5. Conclusion In this paper, using piezoceramic patch transducers, an innovative active sensing approach was developed to perform bolt inspection in a structure. To simulate different damage severities, the looseness of a bolt was adjusted by a torque wrench with various torque values. In order to quantitatively evaluate the damage, a wavelet packet based damage index was developed. Experimental results show that damage

4 Distributed Sensor Networks.1.1 1 2 3 4 5 6 7 8 9 1.1.1 1 2 3 4 5 6 7 8 9 1.1.1 1 2 3 4 5 6 7 8 9 1.1 1.1 1 2 3 4 5 6 7 8 9 1 1 (a) Time response comparison for 1st frequency band AAA.1.1 1 2 3 4 5 6 7 8 9 1.1.1 1 2 3 4 5 6 7 8 9 1.1.1 1 2 3 4 5 6 7 8 9 1.1 1.1 1 2 3 4 5 6 7 8 9 1 1 (c) Time response comparison for 3rd frequency band ADA.1.1 1 2 3 4 5 6 7 8 9 1.1.1 1 2 3 4 5 6 7 8 9 1.1.1 1 2 3 4 5 6 7 8 9 1.1 1.1 1 2 3 4 5 6 7 8 9 1 1 (b) Time response comparison for 2nd frequency band AAD.1.1 1 2 3 4 5 6 7 8 9 1.1.1 1 2 3 4 5 6 7 8 9 1.1.1 1 2 3 4 5 6 7 8 9 1.1 1.1 1 2 3 4 5 6 7 8 9 1 1 (d) Time response comparison for 4th frequency band ADD Figure 5: Continued.

Distributed Sensor Networks 5.2.2 1 2 3 4 5 6 7 8 9 1.2.2 1 2 3 4 5 6 7 8 9 1.2.2.2.2.1 1 2 3 4 5 6 7 8 9 1 1 1 2 3 4 5 6 7 8 9 1 1 (e) Time response comparison for 5th frequency band DAA.1 1 2 3 4 5 6 7 8 9 1.1.1 1 2 3 4 5 6 7 8 9 1.1.1 1 2 3 4 5 6 7 8 9 1.1 1.1 1 2 3 4 5 6 7 8 9 1 1 (g) Time response comparison for 7th frequency band DDA.2.2 1 2 3 4 5 6 7 8 9 1.2.2 1 2 3 4 5 6 7 8 9 1.2.2.2.2.2 1 2 3 4 5 6 7 8 9 1 1 1 2 3 4 5 6 7 8 9 1 1 (f) Time response comparison for 6th frequency band DAD.2 1 2 3 4 5 6 7 8 9 1.2.2 1 2 3 4 5 6 7 8 9 1.2.2.2.2 1 2 3 4 5 6 7 8 9 1 1 1 2 3 4 5 6 7 8 9 1 1 (h) Time response comparison for 8th frequency band DDD Figure 5: Time response comparison for different frequency bands.

6 Distributed Sensor Networks Damage index 1.5 1.5 2.5 5 7.5 1 12.5 15 17.5 Torque value (foot-pound) 1 2 3 4 7 Frequency band number Figure 6: Damage indices of interested frequency bands. indices captured damage features and the damage index values matched the damage development. The proposed approach has the ability to detect the loosening bolt at its incipient stage and has the potential to perform real-time inspection of bolted structures. Please note that a calibration process that uses different levels of applied torque is needed to establish the damage index of the bolt connection prior to field deployment. Since multiple bolt-nut pairs are often employed in a single connect, our future work will involveoptimizationalgorithms [15, 16] to determine optimal sensor numbers and locations. In addition, the time reversal method will be explored in our future work to increase the sensitivity of the proposed method. Acknowledgment This research was partially supported by Grant nos. 51278387, 5127884, and 511215 (Science Fund for Creative Research Groups) from the National Science Foundation of China (NSFC). References [1] G. Park, H. Sohn, C. R. Farrar, and D. J. Inman, Overview of piezoelectric impedance-based health monitoring and path forward, The Shock and Vibration Digest, vol. 35, no. 6, pp. 451 463, 23. [2] D. M. Peairs, G. Park, and D. J. Inman, Improving accessibility of the impedance-based structural health monitoring method, Intelligent Material Systems and Structures,vol.15,no. 2, pp. 129 14, 24. [3] S. Ritdumrongkul, M. Abe, Y. Fujino, and T. Miyashita, Quantitative health monitoring of bolted joints using a piezoceramic actuator-sensor, Smart Materials and Structures, vol. 13, no. 1, pp.2 29,24. [4] A.C.Rutherford,G.Park,andC.R.Farrar, Non-linearfeature identifications based on self-sensing impedance measurements for structural health assessment, Mechanical Systems and Signal Processing,vol.21,no.1,pp.322 333,27. [5] J. S. Heyman, A CW ultrasonic bolt-strain monitor a new sensitive device is reported for the measurement of stressrelatedstrainaswellasstress-relatedchangeinvelocityof sound, Experimental Mechanics, vol. 17, no. 5, pp. 183 187, 1977. [6] F. Amerini and M. Meo, Structural health monitoring of bolted joints using linear and nonlinear acoustic/ultrasound methods, Structural Health Monitoring,vol.1,no.6,pp.659 672,211. [7] I. Argatov and I. Sevostianov, Health monitoring of bolted joints via electrical conductivity measurements, International Engineering Science, vol. 48, no. 1, pp. 874 887, 21. [8] S. Yan, W. Sun, G. Song et al., Health monitoring of reinforced concrete shear walls using smart aggregates, Smart Materials and Structures,vol.18,no.4,ArticleID471,29. [9] A.Laskar,H.Gu,Y.L.Mo,andG.Song, Progressivecollapse of a two-story reinforced concrete frame with embedded smart aggregates, Smart Materials and Structures,vol.18,no.7,Article ID 751, 29. [1] H.Gu,Y.Moslehy,D.Sanders,G.Song,andY.L.Mo, Multifunctional smart aggregate-based structural health monitoring of circular reinforced concrete columns subjected to seismic excitations, Smart Materials and Structures, vol.19,no.6, Article ID 6526, 21. [11] Y. Moslehy, H. Gu, A. Belarbi, Y. L. Mo, and G. Song, Smart aggregate based damage detection of circular RC columns under cyclic combined loading, Smart Materials and Structures,vol.19,no.6,ArticleID6521,21. [12]G.Song,H.Gu,Y.L.Mo,T.T.C.Hsu,andH.Dhonde, Concrete structural health monitoring using embedded piezoceramic transducers, Smart Materials and Structures, vol. 16, no.4,article3,pp.959 968,27. [13] H. Gu, G. Song, and P. Qiao, Delamination detection of composite plates using piezoceramic patches and wavelet packet analysis, in Proceedings of the International Society for Optical Engineering (SPIE 4), pp.22 23,SanDiego,Calif,USA, March 24. [14] T. Wang, G. Song, Z. G. Wang, and Y. R. Li, Proof-of-concept study of monitoring bolt connection status using a piezoelectric based active sensing method, Smart Materials and Structures, vol. 22, no. 8, Article ID 871. [15] T.-H. Yi, H.-N. Li, and M. Gu, Optimal sensor placement for structural health monitoring based on multiple optimization strategies, The Structural Design of Tall and Special Buildings, vol.2,no.7,pp.881 9,211. [16] Y. Ting-Hua, L. Hong-Nan, and Z. Xu-Dong, A modified monkey algorithm for optimal sensor placement in structural health monitoring, Smart Materials and Structure, vol. 21, no. 1, pp. 1 9, 212.

Rotating Machinery Engineering Volume 214 The Scientific World Journal Volume 214 Distributed Sensor Networks Sensors Volume 214 Volume 214 Volume 214 Control Science and Engineering Advances in Civil Engineering Volume 214 Volume 214 Submit your manuscripts at Electrical and Computer Engineering Robotics Volume 214 Volume 214 VLSI Design Advances in OptoElectronics Navigation and Observation Volume 214 Chemical Engineering Volume 214 Volume 214 Active and Passive Electronic Components Antennas and Propagation Aerospace Engineering Volume 214 Volume 214 Volume 214 Modelling & Simulation in Engineering Volume 214 Volume 214 Shock and Vibration Volume 214 Advances in Acoustics and Vibration Volume 214