Mathematical modeling and numerical seismic study of smart concrete beams

Document Type : Research Article

Authors

1 Dept. of Engineering, Ayatollah Boroujerdi University, Boroujerd, Iran

2 Dept. of Mechanical Engineering, Imam Hossein University, Tehran, Iran

3 Dept. of Civil Engineering, Jasb Branch, Islamic Azad University, Jasb, Iran

Abstract

The seismic response of the smart layer is studied in this article based on mathematical modeling and numerical solution. The structure is modeled by sinusoidal shear deformation (SSDT) and the motion equations are derived by energy method and virtual work. The concrete beam is covered by a piezoelectric layer for smart control of the structure. The differential quadrature (DQ) and Newark methods are applied for numerical solution and dynamic response of the smart concrete beam under the earthquake load. The influences of boundary conditions; external voltage, and geometrical parameters of the beam are studied on the seismic response of the smart concrete beam. The results indicate that by applying an external negative voltage, the dynamic deflection of the smart concrete beam is reduced, which is important for smart control of the system while this phenomenon is converse for positive external voltage.

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Main Subjects

References

[1]                 Lee U, Kim J. Dynamic stability analysis and control of a composite beam with piezoelectric layers. Int J Solids Struct 2000;37:4403–17.
[2]                 Narayanan S, Balamurugan V. Finite element modelling of piezolaminated smart structures for active vibration control with distributed sensors and actuators. J Sound Vib 2003;262:529-62.
[3]                 Rafiee M, Yang J, Kitipornchai S. Large amplitude vibration of carbon nanotube reinforced functionally graded composite beams with piezoelectric layers. Compos Struct 2013;96:716–25.
[4]                 Li YS, Feng WJ, Cai ZY. Bending and free vibration of functionally graded piezoelectric beam based on modified strain gradient theory. Compos Struct 2014;115:41–50.
[5]                 Djojodihardjo H, Jafari M, Wiriadidjaja S, Ahmad, KA. Active Vibration Suppression of an elastic piezoelectric sensor and actuator fitted cantilevered beam configurations as a generic smart composite structure. J Sound Vib 2015;132:848-63.
[6]                 Hajmohhamad MH, Farrokhian A, Kolahchi R. Smart control and vibration of viscoelastic actuator-multiphase nanocomposite conical shells-sensor considering hygrothermal load based on layerwise. Aerosp Sci Technol 2018;78:260-70.
[7]                 Zhao Q, Liu Y, Wang L, Yang H, Cao D. Design method for piezoelectric cantilever beam structure under low frequency condition. Int J Pavement Res and Technol 2018;11:153-59.
[8]                 Mehar K, Panda SK, Patle BK. Stress, deflection, and frequency analysis of CNT reinforced graded sandwich plate under uniform and linear thermal environment: A finite element approach. Polym Compos 2018;39(10):3792-09. https://doi.org/10.1002/pc.24409.
[9]                 Mallek H, Jrad H, Wali M, Dammak F. Nonlinear dynamic analysis of piezoelectric-bonded FG-CNTR composite structures using an improved FSDT theory. Eng Comput 2019;. https://doi.org/10.1007/s00366-019-00891-1.
[10]             Zhao X, Legaink, FGN, Zhu WD, Li YH. Coupled thermo-electro-elastic forced vibrations of piezoelectric laminated beams by means of Green's functions. Int J Mech Sci 2019;156:355-69.
[11]             Pandey HK, Hirwani CK, Sharma N, Katariya PV, Panda SK. Effect of nano glass cenosphere filler on hybrid composite eigenfrequency responses - An FEM approach and experimental verification. Adv Nano Res 2019;7(6):419-29. http://dx.doi.org/10.12989/anr.2019.7.6.419.
[12]             Khaje Khabaz M, Eftekhari SA, Hashemian M. Toghraie D. Optimal vibration control of multi-layer micro-beams actuated by piezoelectric layer based on modified couple stress and surface stress elasticity theories. Physica A Stat. Mech Appl 2020;546:123998. https://doi.org/10.1016/j.physa.2019.123998.
[13]             Motezaker M, Jamali M, Kolahchi R. Application of differential cubature method for nonlocal vibration, buckling and bending response of annular nanoplates integrated by piezoelectric layers based on surface-higher order nonlocal-piezoelasticity theory. Comput Appl Math 2020;369:112625. https://doi.org/10.1016/j.cam.2019.112625.
[14]             Yang J,  Guo T, Chai S. Experimental and numerical investigation on seismic behaviours of beam-column joints of precast prestressed concrete frame under given corrosion levels Structures 2020;27:1209-21.
[15]             Wang L, Yang J, Li YH. Nonlinear vibration of a deploying laminated Rayleigh beam with a spinning motion in hygrothermal environment. Eng Comput 2020; https://doi.org/10.1007/s00366-020-01035-6.
[16]             Pan HH, Wang CK, Tia M, Su, YM. Influence of water-to-cement ratio on piezoelectric properties of cement-based composites containing PZT particles. Constr Build Mater 2020; 239:117858. https://doi.org/10.1016/j.conbuildmat.2019.117858.
[17]             Zamani Abbas, Kolahchi R, Rabani Bidgoli M. Seismic response of smart nanocomposite cylindrical shell conveying fluid flow using HDQ-Newmark methods. Comput Concrete 2017; 20:671-82.
[18]             Xiao, R., Hu, Q. and Li, J. Experimental investigation on vibro-acoustic techniques to detect and locate leakages in gas pipelines, Measurement Sci. Technol., 2021; 32: 320-341.
[19]             Xiao, R., Joseph, P.F., Muggleton, J.M. and Li, J. Limits for leak noise detection in gas pipes using cross correlation, J. Sound Vib., 2021; 520, 116639.
[20]             Xiao, R., Hu, Q. and Li, J. Experimental Investigation on Characteristics of Leak Noise in Gas Pipeline Systems, J. Pipeline Syst. Eng. Pract.  2022;13, DOI: 10.1061/(ASCE)PS.1949-1204.0000619.
[21]             Meydani, R., Giertz, T. and Leander, J. Decision with Uncertain Information: An Application for Leakage Detection in Water Pipelines”, J. Pipeline Syst. Eng. Pract., 2022; 13, DOI:10.1061/(ASCE)PS.1949-1204.0000644.
[22]             Roy, A., Shahandashti, M. and Rosenberger, J.M. Effects of Network Uncertainty on Seismic Vulnerability Assessment of Water Pipe Networks, J. Pipeline Syst. Eng. Pract. 2022; 13, https://doi.org/10.1061/(ASCE)PS.1949-1204.0000652.
[23]             Thai HT, Vo TP. A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams. Int J Eng Sci 2012;54:58–66.
[24]             Kolahchi R, Safari M,  Esmailpour M. Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium. Compos Struct 2016;150:255–65.
 

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History

  • Receive Date: 28 March 2022
  • Revise Date: 25 May 2022
  • Accept Date: 07 June 2022

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