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Course Modules on Structural Health Monitoring with Smart Materials 65 Hui-Ru Shih, Wilbur L. Walters, Wei Zheng, and Jessica Everett T h e J o u r n a Abstract course modules have been developed to intro- lo f Structural Health Monitoring (SHM) is an duce structural health monitoring concepts to Te c emerging technology that has multiple applica- undergraduates. The field of SHM is vast. These hn o tions. SHM emerged from the wide field of teaching modules are not designed to give an lo g smart structures, and it also encompasses disci- encyclopedic coverage of all the SHM tech- y S t plines such as structural dynamics, materials and niques. Instead, the primary objective of these u d structures, nondestructive testing, sensors and efforts is to provide students with background ies actuators, data acquisition, signal processing, information and knowledge of principal tech- and possibly much more. To stimulate students’ nologies involved in SHM using smart materials desire for pursuing advanced technologies and and Lamb waves. Lamb waves are guided elastic to ensure that they are well prepared for their waves. Lamb wave techniques have been emerg- future careers, technology educators need to ing as one of the most effective methods to dedicate their efforts to educate the students detect structural damage. with this emerging technology. At Jackson State University (JSU), three course modules (Smart From these modules, students can learnto Materials and Structures, Data Acquisition use software, hardware, and instrumentation Systems, and Lamb Waves Generation & properly both theoretically and in the context of Detection) were added to the existing course to real-world applications. All three modules were help undergraduate students develop hands-on offered together for the first time during the experience for understanding this technology. spring semester of 2009. Results of these new The course modules did not require prior knowl- modules are very encouraging. Being able to see, edge of software and hardware, and they all fol- touch, and interact with entities that demonstrate lowed an applied, hands-on approach. These complexbehavior is exciting and appealing to three course modules allowed students to gain students. Students become verymotivated by the insight into the SHM as well as to become diversity and creativity of the course content. knowledgeable users of the instrumentation. Course Modules Development Introduction Three new course modules (Smart Materials Structural Health Monitoring (SHM) is fast &Structures, Data Acquisition Systems, and becoming a highlight of both research and appli- Lamb Waves Generation & Detection) were cations to ensure the safe operation of various added to the existing Technology course. This structures, such as bridges, ships, pipelines, and addition is intended to present students with a aircrafts (Giurgiutiu, 2008; Staszewski, Boller, comprehensiveviewof SHM with smart materi- &Tomlinson, 2004). The structure under inves- als. The newcourse modules havehelped stu- tigation is energized using actuators. The dents understand the concept of a smart structur- response to the excitation is sensed at various al system; it also has helped them to understand locations throughout the structure. The response its application to performance monitoring of signals are collected and processed. Based on structural systems. the processed data, the state of the structure is Course Module 1:SmartMaterials and Structures diagnosed. Smart structures utilize active (smart) mate- rials as sensors and actuators to sense and Asuccessful understanding and application respond to their environment (Gabbert&Tzou, of structural health monitoring depends on an 2001; Srinivasan & McFarland, 2000). Smart in-depth appreciation of structural modeling, materials (e.g., electrostrictives, shape memory smart materials, signal processing, data acquisi- alloys, and piezoelectrics) are nowused in tion techniques, and more. JSU’sDepartment of numerous applications. However, most of Technology has developed significant teaching today’s technology students are not aware of the capabilities and the experimental facilities for remarkable properties of smartmaterials or the structural control and health monitoring. Three applications of smart-structure technology. behind the extraordinary ability for piezoelectric Therefore, it is desirable to prepare future tech- materials to behave as both a sensor and as an 66 nologists for the cutting-edge technologies in actuator. Materials delivered in the lectures also es smart structures, which they will see in broad cover the analysis and design of a control sys- di u application during their careers. This proposed tem, as well as MatLab, Simulink, and dSpace. t S course module aims to prepare technologists to The experimental setup is depicted in Figure 1. y g o meet this demand. The test apparatus consists of an aluminum can- ol hn tilever beam 24.75 inches long, 1.5 inches wide, c Te This module demonstrates the properties of and 0.075 inch thick. The commercially avail- of piezoelectric materials, and it reveals the basic able PZT patches (QP15W and QP20W from nal principles of intelligent structures and structure Midé Technology) are used. QP15W works as a r ou control. The electromechanical property of sensor and QP20W acts as an actuator. A PZT J e piezoelectric materials has both a direct and a patch is bonded near the clamped end on each h T converse effect (Shih, 1999). The direct effect is side of the beam. This position was chosen described as the generation of an electric charge because the greatest strains occur at the fixed in a material when it is subjected to a mechanical end of the beam. The controller is implemented stress. The converse effect is described as gener- on a dSpace 1104 controller board using ation of a mechanical strain in a material in MatLab and Simulink software. The Model response to an applied electric field. 7500 power amplifier from Krohn-Hite Piezoelectrics are available in polymer Instruments is used in the test. (polyvinylidene fluoride or PVDF) or ceramic (lead zirconate titanate or PZT) form. Once the cantilever beam is forced to Piezoceramics are stiff and brittle, whereas vibrate, the piezoelectric sensor will continue to piezopolymers are compliant and soft. There are generate the signal. When the controller to the twopossible ways to utilize piezoelectric materi- actuator patch is on, the sensor signal will be als. First, piezoelectric materials can be used as preceded by a control algorithm, and then the sensors (direct effect). Second, piezoelectric control signal will be amplified and fed back to materials can be used as actuators (converse the actuator to suppress the vibration. This can- effect). Because piezoelectric materials are appli- tilevered beam system is a simple form of a cable to both sensors and actuators, their use is smartstructure since both the sensor and actua- verypopular in smartstructures and systems. tor are integrated parts of the structure. This smart beam has the ability to sense and to This module consists of lectures and labora- respond to vibrations. toryexperiments. The laboratories are developed first; the lectures then support the laboratories. Alaser vibrometer (VibroMet 500) is also The lectures introduce students to the piezo- used to measure the tip displacement and obtain electric effects and the fundamental mechanism the frequency response of the beam’s vibration. Controller (dSPACE ) Sensor Beam Actuator Signal Amplifier Figure 1. Experimental setup. 67 5 T 4 h uncontrolled e J o 3 controlled u r n a l 2 o f T e 1 ch n o lo 0 g y S t -1 u d ie s -2 -3 -4 -5 0 4 8 12 16 20 time (sec) Figure 2. Responses of the beam after an initial disturbance at the tip. Thus, important parameters of the beam, such as behavior of a cantilever beam can be represented fundamental modal frequencies can be obtained by a second-order linear transfer function. The and then used to design the controller.The open- fundamental frequencyand damping ratio can loop response can be validated with analytical be obtained from the experiment as previously results. The dotted line in Figure 2 shows the described. Next, these parameters can yield the free vibration of the beam in an open loop after transfer function. In Figure 3, the block an initial disturbance to its tip. The damping “Transfer Fcn1” represents the beam’s transfer ratio zcan be determined from the observation function. of this decay. Flexible structures consist of a large number In the next step, a control method is needed of highly resonant modes. In general, PPF can todampen the vibration of the beam (Song, offer quick damping for a particular mode. The Qiao, Binienda, & Zou, 2002). The proper con- input value of the PPF controller can be consid- trol method can be chosen with help of comput- ered as the modal displacement. The resonant er simulations. Students usuallychoose the posi- frequencyof a controller is set to the designated tive position feedback (PPF) algorithm. PPF is modal frequency of the structure to be con- applied bysending the structural position coor- trolled. Around the resonant frequency,the dinate directly to the controller. Next, the prod- phase lag of the controller is about 90 degrees. uct of the controller output and a scalar gain are The output of the controller is the modal veloci- fed back to the actuator. Students can adjust the ty feedback signal. Thus, the controller can gain to optimize the control performance. As reduce resonant responses of the structure by mentioned previously, the controller is imple- increasing the system damping at that modal fre- mented on a dSpace 1104 controller board using quency. MatLab and Simulink software, illustrated in Figure 3. Simulink is a graphical extension to An important issue in designing a controller MatLab for modeling and simulation of systems. for a flexible structure is whether the developed closed-loop system will have sufficient robust- In Figure 3, the block “ADC” which is the ness to deal with uncertainties in the structure. analog-to-digital converter, receives the input One more advantage of the PPF algorithm is signals from sensor. The block “DAC” is the that the controller can function as a special digital-to-analog converter. The controller output bandpass filter. Frequencies that are lower or is sent to the amplifier through DAC. The higher than the frequencyofthe filter will be 68 s e di u t S y g o ol n h c e T of al n r u o J e h T Figure 3. PPF controller. depressed. Thus, the controller can guarantee recent years, LabVIEW has been widely used in closed-loop stability in the presence of uncon- applications where engineers, scientists, and trolled modes. technologists want to acquire, analyze, and pres- ent data. LabVIEW is a graphical programming The control performance has been observed language developed by National Instruments in the time domain by monitoring the transient (NI). LabVIEW is used in this class to write behaviors of the beam. The decaying behaviors programs for the acquisition, processing, and are presented in Figure 2 for both the controlled presentation of data. Thus, the additional benefit and uncontrolled cases. From this figure, the is that students are also introduced to program- effectiveness of the present vibration control can ming concepts. The graphical programming be clearly understood. environment of LabVIEW has proven to be a suitable teaching mechanism for students to use Smart material systems exhibit very com- to learn the basic concepts of loops, case struc- plex coupled physical behavior. From this exper- tures, etc. in a shortperiod of time and to gener- iment it can be seen that, in piezoelectrics, the ate working programs (Bishop, 2007; King, coupling is in between mechanical stresses and 2009; Strachan, Oldroyd,&Stickland,2000; electrical potentials. Smartmaterials and struc- Sumali, 2002; Zhao, 2006). tures are a rapidlygrowing interdisciplinary technology embracing the fields of materials The LabVIEW environment consists of two and structures, sensor and actuator systems, and main windows: the block diagram (Figure 4) and information processing and control. Study of the front panel (Figure 5). The front panel is smart materials can increase the interdiscipli- where the developer can build the user interface nary experiences of the students. through the use of various GUI objects. Students build the front panel with controls and indica- Course Module 2:Data Acquisition Systems tors, which are the interactive input and output The broad field of SHM encompasses many terminals, respectively. Controls are knobs, push advanced technologies that, when integrated, buttons, dials, and other input devices. provide a system that can potentiallyidentify Indicators are graphs, LEDs, and other displays. and characterize the performance and/or possi- ble deterioration of a structural system. For a When a front panel item is dropped on the SHM system, a data acquisition subsystem is screen, a terminal is also created on the block required to record a structure’s response to diagram automatically. The block diagram is ambient and external loads. where the functionality of the LabVIEW pro- gram (known as a virtual instrument or VI) is Acourse module has been developed to defined. Awide variety of function blocks (also allow students to gain a basic knowledge of data referred to as VIs) are available to allow the user acquisition with hands-on experiences. The focus to define any functionality that they want. In of this module is to give students a starting point addition, the VIs that allowthe user to build for developing the data-acquisition system. In 69 T h e J o u r n a l o f T e c h n o lo g y Figure 4. Block diagram of a LabVIEW Figure 5. Front panel of a LabVIEW St u program. program. d ie s his/her program, such as while loops, for loops, Course Module 3:Lamb Waves Generation and and case structures, are also available as in any Detection programming language. SHM techniques are being developed to reduce operations and support costs, increase This module is designed so that the knowl- availability, and maintain the safety of various edgeand techniques that are introduced can later structures, such as bridges and aircraft. be used in further studies and applied in SHM. Conventional ultrasonic methods, such as pulse- The module is a mixture of lectures and practi- echo techniques, have been used successfully to cal works. In lectures, the basic features of inspect structural integrity. However, the appli- LabVIEW are first covered along with the data- cation of these traditional techniques has been acquisition hardware. The procedures of limited to testing relatively simple geometries or LabVIEW data flow programming are intro- inspecting the region in the vicinity of the trans- duced. The comparison between LabVIEW and ducer (Yang & Qiao, 2005). Anewultrasonic the traditional programming languages is pre- methodology which uses Lamb waves to exam- sented. The block diagram and front panel for a ine the structural components has been devel- LabVIEW program are discussed. In addition, oped. Lamb waves are guided elastic waves, the editing features of functions palette and con- which can travel relatively large distances with trols palette are introduced. A brief discussion of very little amplitude loss; they offer the advan- the hierarchyof the organization of various pan- tage of large-area coverage with a minimum of els on those palettes is also presented. Due to installed sensors (Giurgiutiu, 2003a). Thus, in the limited time available, LabVIEW is not be contrast to the conventional methods, the guid- covered in detail. ed-wave technology can be used to inspect the entire structure in a single measurement, and it In the laboratorysessions, students are can also inspect inaccessible regions of complex instructed to perform the tutorial from the components. This module is designed to provide LabVIEW Hands-On Course Manual (2005), students with the foundational knowledge for the manual that is also used byNI in its training understanding SHM using Lamb waves. courses. For all of the exercises, the instructor provides common electronic tools and compo- For Lamb waves, at a given frequency, at nents (e.g., multimeters, oscilloscopes, bread- least twomodes (one symmetric and one anti- boards, function generators, and data-acquisition symmetric) are generated. As frequency increas- systems). A data-acquisition system includes es, the number of simultaneously existing wave- acomputer, a LabVIEW, an NI PCI 6251 data- forms also increases. Lamb wavepropagation is acquisition (DAQ) board, and an NI BNC 2110 usually highly dispersive. Therefore, how to connector block. Through these practices, stu- choose the best frequency is a major issue. In dents should gain an understanding of the capa- Lamb wave inspection, mostly the S (symmet- o bilities and structure of a computer-based data- ric) and A (anti-symmetric) modes are used. o acquisition system as well as the ability to write So and A are referred to as the fundamental o simple programs to acquire, process, and store modes. These twomodes are the most important data. because theyexist at all frequencies, and they carry more energy than the higher order modes in most situations. So and A modes are often called the exten- Among the various transducers available o sional mode and flexural mode, respectively. for damage detection, piezoelectric materials 70 The A Lamb mode has a much lower wave are particularly attractive because they can act o dies speed than the SoLamb mode, and therefore it simultaneously as transmitters and receivers. u has a smaller wavelength, making it more sensi- These transducers can be bonded or embedded t S tive to smaller levels of damage. However, the on the structure to be analyzed. Their reduced y g o symmetric waveform has a substantially greater thickness, low weight, and low cost make them ol hn group velocity and would therefore arrive at a very useful when designing an integrated dam- c Te sensor well before the anti-symmetric waveform. age monitoring system (Hong, et al., 2005). In of Kessler, Spearing, Atalla, Cesnik, & Soutis the experiments, piezoelectric transducers al n (2001) recommended use of the A mode (APC-850, 8 mm x 8 mm x 0.3 mm in size) r o u o because of lower attenuation. Alternatively, are used to generate and receive the wave. J e selective excitation of the S mode has also been h o T reported (Giurgiutiu, 2003b). At low frequen- Students have learned how to operate a cies, below 1 MHz, only A and S Lamb modes function generator and DAQ board, as well as o o are present. Frequency excitation ranges above write the LabVIEW program. This module is 1.5 MHz would produce other modes that will designed so that it can integrate the knowledge make Lamb mode selection more difficult. In they gained and tools they acquired from the order to generate only a few Lamb wave modes, first two modules. The experiment in this mod- narrowband techniques are necessary. Thus, a ule enables students to test their abilities in frequency range of up to 500 kHz is usually using a data-acquisition system to acquire data. chosen. Giurgiutiu (2005) has also shown that, This module is also laboratoryintensive. byadjusting the excitation frequency,it is possi- An aluminum beam (or plate) was used in the ble to tune certain transducers to excite a single experimental measurements. Several square mode (either S or A )dominantly. o o piezoceramic elements were bonded on the structure surface at the different positions. One 1.5 can serve as the actuator to generate the Lamb 1 waves. The others perform as sensors to detect the waves. Figure 7 shows the test setup, which 0.5 includes an arbitrary function generator, a digi- 0 tal oscilloscope, and a computer. The piezoce- -0.5 ramic actuator was excited byasignal construct- ed and transferred to an arbitraryfunction gen- -1 erator (Agilent 33220A). This function generator -1.5 could read the digital signal and output the cor- 0 0.2 0.4 0.6 0.8 1 responding analog signal to the actuator. The Time (ms) measured signals were obtained with a digital Figure 6. Excited waveform. oscilloscope or recorded in a computer with a According to four studies (Giurgiutiu, LabVIEW program. 2003a; Hong, Sun, & Kim, 2005; Ullate, In experiments, both extensional and flexural Saletes, & Espinosa, 2006; Yang & Qiao, 2005), modes can be excited and detected. Figure 8 using the tone burst smoothed pulses can shows the wave signals received at the sensor improve the feedback signals and enhance the for the 150 kHz, 250 kHz and 350 kHz excita- reliability of damage detection. In the experi- tion, respectively. The wave excitation used is ment, the excited transient signal is made up of a5-count tone burst. From the first row of wave awindowed five-cycle sine tone burst (shown in in Figure 8, it can clearly be seen that A is the Figure 6). The center frequency is varied. o dominant at 150 kHz. When the tone burst is This signal is windowed in order to get a single tuned to 250 kHz, both S mode and A mode wave traveling at the desired driving frequency. o o can be excited. This can be seen from the Because the pulse has a finite duration, a range second rowof the wave. At 350 kHz (the third of frequencies is excited rather than a single row), S mode is maximized, whereas A mode frequency, and dispersion distorts the shape of o o is still slightly excited. the pulse as different frequencycomponents travel at different velocities. 71 T function oscilloscope h e generator J o u r n a l o f T e c aluminum beam h n o lo g y S t u d ie s Figure 7. Experimental setup for Lamb wave propagation. This experiment can show students that the good introduction to the basics of smart materi- transmission and reception of Lamb waves in als, data acquisition, structural monitoring, and thin structures can be effectively implemented in particular, laboratory and experimental works. using small-size surface-bonded piezoelectric sensors and actuators. The Lamb waves can be The ratings, relative to a maximum rating of used to scan the structures and are capable of 10.0 on key categories pertaining to the course detecting internal damage through ultrasonic content, are presented in Table 1. The responses techniques (Yang & Qiao, 2005). The piezoelec- of the evaluation showed highly supportive evi- tric transducers are inexpensive and unobtrusive. dence toward the intended course outcomes. In Theycan be deployed over large structural areas order to gain additional insight regarding stu- to create active sensor arrays. dents’perceptions of the modules, students were also submitted written comments. According to The learning exercises described above aim the comments, students increased their percep- to equip students with the knowledge, skills, and tion of the value of technology, and their self- understanding necessaryfor tackling problems efficacyin performing SHM and DAQtasks. inSHM-related professional fields. The lecture Although a few students complained about too materials cover the core concepts. The laborato- much time involved with the laboratory assign- ryexperiments expose students to the hands-on ments, most of the students agreed that the techniques. The three teaching modules present- amount of time and work required to complete ed in this article can easily and seamlessly be the assignments was reasonable. The majority of integrated to existing technology courses. students enjoyed working in the lab. Several stu- dents indicated that having additional opportuni- Student Feedback ties to “playwith the technology” would greatly These three course modules were delivered enhance their learning. Some students also for the first time during the spring 2009 semes- expressed an interest in being provided with ter. An important outcome of any course is what additional information regarding the smartmate- students think about various aspects of the class. rials themselves, such as where they can be pur- The initial outcome for these modules has been chased and how much they cost. Overall, most assessed. All students who took the course mod- students commented positively about the knowl- ules outlined previously were asked whether they edge theygained. They agreed that these mod- thought the structure of the course gave them a ules were a valuable learning experience. The student feedback provides valuable 150 kHz information to the instructors for further improv- ing the modules. Even though student learning So Ao 250 kHz and perception were positivelyaffected by the developed teaching materials, there are challenges 350 kHz in future development. Because the laboratory experiments were custom-made, the major chal- Figure8. Wave signals received. lenge is preparing enough experimental systems Table 1. Survey results. Acknowledgments The authors would like to thank the 72 Organizes and plans course effectively. 8.2 National Science Foundation (under grants Ifound the course intellectually stimulating. 8.5 s e EEC-0634279 and EEC-0741532) for its sup- di Ilearned a great deal in this course. 9.2 u port of this project. The authors also wish to t S Rate overall value of this course. 8.9 y acknowledge financial supports from the g olo at a low cost to support a larger student Institute for Multimodal Transportation. The n h population. institute is sponsored by the Department of c Te Transportation – University Transportation of Conclusions Centers Program. The assistantship provided by al n Keeping curricula and lab resources current JSU's Science and Technology Access to r u o with respect to the fast pace of technological Research and Graduate Education (STARGE) J e advances is a challenge. A module-based Project is also appreciated. h T approach is a new learning paradigm that offers an effective way to address the challenge of Dr. Hui-Ru Shih is a Professor of emerging technologies. Smart structures and Technology at Jackson State University, SHM have become increasingly important tech- Mississippi, and is a member of Delta Beta nologies to ensure the safe operation of various chapter of Epsilon Pi Tau. structures. In this work, we advocate a module- Dr.Wilbur L. Walters is an Associate based approach for teaching and learning. Three Professor and Interim Chair of the Department course modules were designed to provide of Physics at Jackson State University, students with a firm grasp of the smart struc- Mississippi. tures and integrated health-monitoring tech- niques. The modules balance theoryand applica- Dr. Wei Zheng is an Assistant Professor of tion, classroom lectures and laboratory experi- Civil Engineering at Jackson State University, ments. These modules also were designed to Mississippi. enable students to gain a competence with tools they can use in their future jobs. These teaching Miss Jessica Everett currentlyis an under- modules havebeen successfullytested in the graduate technology major at Jackson State three-credit Capstone course offered in the sen- University,Mississippi. ior year to all the Industrial Technology majors. Extending this learning concept to other practi- cal courses could broaden the students’practical and advanced skills, which are much desired by industryleaders. References Bishop, R. H. (2007). LabVIEW 8(Student edition). Upper Saddle River, NJ: Prentice Hall. Gabbert, U., & Tzou, H. S. (2001). Smart structures and structronic system.London: Kluwer Academic Publishers. Giurgiutiu, V. (2003a). Embedded NDE with piezoelectric wafer-active sensors in aerospace applications, Journal of Materials (JOM-e), Special Issue on NDE, 55 (1), http://www.tms.org/pubs/journals/JOM/0301/Giurgiutiu/Giurgiutiu-0301.html. Giurgiutiu, V.(2003b). Lamb wavegeneration with piezoelectric wafer active sensors for structural health monitoring. Proceedings of the SPIE's 10th Annual International Symposium on Smart Structures and Materials and 8th Annual International Symposium on NDE for Health Monitoring and Diagnostics,paper # 5056-17. Giurgiutiu, V. (2005). Tuned Lamb wave excitation and detection with piezoelectric wafer active sen- sors for structural health monitoring, Journal of Intelligent Material Systems and Structures, 16(4), 291-305. Giurgiutiu, V. (2008). Structural health monitoring with piezoelectric wafer active sensors.Boston: Academic Press. 73 Hong, J. C., Sun, K. H., & Kim, Y. Y. (2005). The matching pursuit approach based on the modulated T Gaussian Pulse for efficient guided-wave damage inspection, Journal of Smart materials and h e Structures,14,548-560. Jo u r Introduction to LabVIEW 3-Hour Hands-On, (2005). Austin: National Instruments. na l o Kessler, S. S., Spearing, S. M., Atalla, M. J., Cesnik, C. E. S. & Soutis, C. (2001). Damage detection f T e in composite materials using frequency response methods. Proceedings of the SPIE’s 8th c h International Symposium on Smart Structures and Materials. no lo g King, R. H. (2009). Introduction to data acquisition with LabVIEW.New York: McGraw Hill. y S t Shih, H. R. (1999). Damping control of a piezoelectric laminated structure, Journal of Engineering u d Technology, 16(2), 54-58. ies Song, G., Qiao, P. Z., Binienda, W. K. & Zou, G. P. (2002). Active vibration damping of composite beam using smart sensors and actuators, Journal of Aerospace Engineering, 15(3), 97-103. Srinivasan, A. V., & McFarland, D. M. (2000). Smart structures, analysis and design.Cambridge: Cambridge University Press. Staszewski, W., Boller, C. & Tomlinson, G. R. (2004). Health monitoring of aerospace structures: Smart sensor technologies and signal processing.New York: John Wiley & Sons. Strachan, P., Oldroyd,A. & Stickland, M. (2000). “Introducing instrumentation and data acquisition to mechanical engineers using LabVIEW,” International Journal of Engineering Education, 16(4), 315-326. Sumali, H. (2002). An instrumentation and data acquisition course at Purdue University,Proceedings of the 2002 ASEE Annual Conference & Exposition,Session 2208. Montréal, Quebec, Canada. Ullate, Y.G., Saletes, I., & Espinosa, F. M. D. (2006). Lamb waves generation in plates using glued piezoceramics, Boletin de la Sociedad Espanola de Cerámica y Vidrio,45(3), 188-191. Yang, M., & Qiao, P. (2005). Modeling and experimental detection of damage in barious materials using the pulse-echo method and piezoelectric sensors/actuators, Journal of Smart Materials and Structures, 14,1083-1100. Zhao, J.(2006). Introducing LabVIEW in undergraduate measurements and instrumentation course, Proceedings of the ASEE 2006 Illinois-Indiana and North Central Joint Section Conference, Indiana University Purdue University Fort Wayne (IPFW).

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