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.
  • [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
    [2]
    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
    [3]
    Leong E C, Yeo S H,Rahardjo H.Measuring shear wave velocity using bender elements[J].Geotechnical Testing Journal,2005,28(5):488-498.
    [4]
    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
    [5]
    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
    [6]
    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
    [7]
    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)
    [8]
    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
    [9]
    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
    [10]
    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.
    [11]
    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
    [12]
    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.
    [13]
    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
    [14]
    丁皓江,江爱民.压电梁的多项式解(Ⅰ)——若干精确解[J].应用数学和力学,2005,26(9):1009-1022.
    [15]
    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
    [16]
    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.
  • Relative Articles

  • 加载中
    Created with Highcharts 5.0.7Chart context menuAccess Class DistributionFULLTEXT: 17.4 %FULLTEXT: 17.4 %META: 81.8 %META: 81.8 %PDF: 0.7 %PDF: 0.7 %FULLTEXTMETAPDF
    Created with Highcharts 5.0.7Chart context menuAccess Area Distribution其他: 7.6 %其他: 7.6 %其他: 0.3 %其他: 0.3 %China: 0.2 %China: 0.2 %上海: 0.5 %上海: 0.5 %北京: 2.6 %北京: 2.6 %南宁: 0.1 %南宁: 0.1 %合肥: 0.1 %合肥: 0.1 %咸阳: 0.1 %咸阳: 0.1 %哈尔滨: 0.1 %哈尔滨: 0.1 %哥伦布: 0.1 %哥伦布: 0.1 %宁波: 0.1 %宁波: 0.1 %广州: 0.6 %广州: 0.6 %张家口: 2.2 %张家口: 2.2 %朝阳: 0.5 %朝阳: 0.5 %杭州: 0.3 %杭州: 0.3 %武汉: 0.1 %武汉: 0.1 %洛杉矶: 0.5 %洛杉矶: 0.5 %深圳: 0.2 %深圳: 0.2 %石家庄: 1.1 %石家庄: 1.1 %芒廷维尤: 6.8 %芒廷维尤: 6.8 %苏州: 0.1 %苏州: 0.1 %茂名: 0.3 %茂名: 0.3 %西宁: 75.2 %西宁: 75.2 %重庆: 0.3 %重庆: 0.3 %阳泉: 0.1 %阳泉: 0.1 %其他其他China上海北京南宁合肥咸阳哈尔滨哥伦布宁波广州张家口朝阳杭州武汉洛杉矶深圳石家庄芒廷维尤苏州茂名西宁重庆阳泉

Catalog

    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 (3129) PDF downloads(590) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return