ZHOU Yan-guo, CHEN Yun-min, DING Hao-jiang. Analytical Modeling of Sandwich Beam for Piezoelectric Bender Elements[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1411-1416.
Citation: ZHOU Yan-guo, CHEN Yun-min, DING Hao-jiang. Analytical Modeling of Sandwich Beam for Piezoelectric Bender Elements[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1411-1416.

Analytical Modeling of Sandwich Beam for Piezoelectric Bender Elements

  • Received Date: 2007-04-16
  • Rev Recd Date: 2007-10-28
  • Publish Date: 2007-12-15
  • Piezoelectric bender elements are widely used as electromechanical sensors and actuators. An analytical sandwich beam model for piezoelectric bender elements was developed based on the first-order shear deformation theory (FSDT), which assumes a single rotation angle for the whole cross-section and a quadratic distribution function for coupled electric potential in piezoelectric layers, and corrects the effect of transverse shear strain on the electric displacement integration. Free vibration analysis of simply-supported bender elements was carried out and the numerical results showed that solutions of the present model for various thickness-to-length ratios compare well with the exact two-dimensional solutions, which presents an efficient and accurate model for analyzing dynamic electromechanical responses of bender elements.
  • loading
  • [1]
    Shirley D J, Hampton L D. Shear-wave measurements in laboratory sediments[J].Journal of the Acoustic Society of America,1978,63(2):607-613. doi: 10.1121/1.381760
    ZHOU Yan-guo, CHEN Yun-min.Influence of seismic cyclic loading history on small strain shear modulus of saturated sands[J].Soil Dynamics and Earthquake Engineering,2005,25(5):341-353. doi: 10.1016/j.soildyn.2005.03.001
    Leong E C, Yeo S H,Rahardjo H.Measuring shear wave velocity using bender elements[J].Geotechnical Testing Journal,2005,28(5):488-498.
    Viggiani G, Atkinson J H.Interpretation of bender element tests[J].Geotechnique,1995,45(1):149-154. doi: 10.1680/geot.1995.45.1.149
    Arulnathan R, Boulanger R W,Riemer M F. Analysis of bender element tests[J].Geotechnical Testing Journal,1998,21(2):120-131. doi: 10.1520/GTJ10750J
    Wood D Muir, Arroyo M,Greening P D. Source near-field effects and pulse tests in soil samples[J].Geotechnique,2003,53(3):337-345. doi: 10.1680/geot.2003.53.3.337
    Lee J S, Santamarina J C.Bender elements: performance and signal interpretation[J].Journal of Geotechnical and Geoenvironmental Engineering, ASCE,2005,131(9):1063-1070. doi: 10.1061/(ASCE)1090-0241(2005)131:9(1063)
    Madabhusi-Raman P, Davalos J F. Static shear correction factor for laminated rectangular beams[J].Composites Part B: Engineering,1996,27(3):285-293. doi: 10.1016/1359-8368(95)00014-3
    Fernandes A, Pouget J.Analytical and numerical approaches to piezoelectric bimorph[J].International Journal of Solids and Structures,2003,40(17):4331-4352. doi: 10.1016/S0020-7683(03)00222-1
    ZHOU Yan-guo,CHEN Yun-min, DING Hao-jiang. Analytical solutions to piezoelectric bimorphs based on improved FSDT beam model[J].Smart Structures and Systems,2005,1(3):309-324.
    DING Hao-jiang, WANG Guo-qing, CHEN Wei-qiu. Green's functions for a two-phase infinite piezoelectric plane[J].Proceedings of the Royal Society of London A,1997,453(1966): 2241-2257. doi: 10.1098/rspa.1997.0120
    ZHOU Yan-guo, CHEN Yun-min, DING Hao-jiang. Analytical modelling and free vibration analysis of piezoelectric bimorphs[J].Journal of Zhejiang University A Science,2005,6(9):938-944.
    Wang Q, Quek S T,Sun C T.et al.Analysis of piezoelectric coupled circular plate[J].Smart Materials and Structures,2001,10(2):229-239. doi: 10.1088/0964-1726/10/2/308
    Timoshenko S P.On the transverse vibrations of bars of uniform cross section[J].Philosophical Magazine, Ser 6,1922,43:125-131. doi: 10.1080/14786442208633855
    周燕国. 土结构性的剪切波速表征及对动力特性的影响[D].博士论文.杭州:浙江大学, 2007.
  • 加载中


    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2532) PDF downloads(583) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint