• Acta Optica Sinica
  • Vol. 39, Issue 4, 0403001 (2019)
Yinhang Ma1, Hanyang Jiang1, Meiling Dai1, Xiangjun Dai2, and Fujun Yang1、*
Author Affiliations
  • 1 Jiangsu Key Laboratory of Engineering Mechanics, Southeast University, Nanjing, Jiangsu 211189, China
  • 2 School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo, Shandong 255049, China
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    DOI: 10.3788/AOS201939.0403001 Cite this Article Set citation alerts
    Yinhang Ma, Hanyang Jiang, Meiling Dai, Xiangjun Dai, Fujun Yang. Cantilevered Plate Vibration Analysis Based on Electronic Speckle Pattern Interferometry and Digital Shearing Speckle Pattern Interferometry[J]. Acta Optica Sinica, 2019, 39(4): 0403001 Copy Citation Text show less
    Schematic of out-of-plane movement detection system
    Fig. 1. Schematic of out-of-plane movement detection system
    Curve of zero-order Bessel function
    Fig. 2. Curve of zero-order Bessel function
    Schematic of DSSPI system
    Fig. 3. Schematic of DSSPI system
    Schematic of results of amplitude fluctuation method
    Fig. 4. Schematic of results of amplitude fluctuation method
    Cantilevered and slotted aluminum plate
    Fig. 5. Cantilevered and slotted aluminum plate
    Fringe patterns of first 10 orders of out-of-plane vibration modes of specimen obtained by ESPI. (a)-(j) Complete plates; (A)-(J) slotted plates
    Fig. 6. Fringe patterns of first 10 orders of out-of-plane vibration modes of specimen obtained by ESPI. (a)-(j) Complete plates; (A)-(J) slotted plates
    Mode patterns of bending vibration of complete plate. (a) 2nd order; (b) 3rd order; (c) 4th order
    Fig. 7. Mode patterns of bending vibration of complete plate. (a) 2nd order; (b) 3rd order; (c) 4th order
    Derivative fringe patterns along X direction of first 10 orders of out-of-plane modes of complete plate. (a)-(j) DSSPI; (A)-(J) FEM
    Fig. 8. Derivative fringe patterns along X direction of first 10 orders of out-of-plane modes of complete plate. (a)-(j) DSSPI; (A)-(J) FEM
    Derivative fringe patterns along Y direction of first 10 orders of out-of-plane modes of complete plate. (a)-(j) DSSPI; (A)-(J) FEM
    Fig. 9. Derivative fringe patterns along Y direction of first 10 orders of out-of-plane modes of complete plate. (a)-(j) DSSPI; (A)-(J) FEM
    Derivative fringe patterns along X direction of first 10 orders of out-of-plane modes of cantilevered and slotted aluminum plate. (a)-(j) DSSPI; (A)-(J) FEM
    Fig. 10. Derivative fringe patterns along X direction of first 10 orders of out-of-plane modes of cantilevered and slotted aluminum plate. (a)-(j) DSSPI; (A)-(J) FEM
    Derivative fringe patterns along Y direction of first 10 orders of out-of-plane modes of cantilevered and slotted aluminum plate. (a)-(j) DSSPI; (A)-(J) FEM
    Fig. 11. Derivative fringe patterns along Y direction of first 10 orders of out-of-plane modes of cantilevered and slotted aluminum plate. (a)-(j) DSSPI; (A)-(J) FEM
    Modal orderMode shapeComplete plateSlotted plate
    Inherent frequency /HzRelative error /%Inherent frequency /HzRelative error /%
    FEMExperimentFEMExperiment
    1(1,0)44.444-1.0044.444-0.90
    2(0,1)192.5190-1.30192.3188-2.20
    3(2,0)276.5275-0.50269.6266-1.30
    4(1,1)626.1620-1.00623.6606-2.80
    5(3,0)776.1770-0.80736.3721-2.10
    6(3,1)12001189-0.9011971168-2.40
    7(0,2)126712982.40125312640.90
    8(4,0)15361527-0.6014851466-1.30
    9(3,2)169517010.4016741664-0.60
    10(4,1)19781967-0.6019731941-1.60
    Table 1. First 10 orders of modes and inherent frequencies of two specimens
    Yinhang Ma, Hanyang Jiang, Meiling Dai, Xiangjun Dai, Fujun Yang. Cantilevered Plate Vibration Analysis Based on Electronic Speckle Pattern Interferometry and Digital Shearing Speckle Pattern Interferometry[J]. Acta Optica Sinica, 2019, 39(4): 0403001
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