Effects of transverse shear and normal deformations on the vibration characteristics of laminated plates

PDF(1806 KB)

Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (20) : 118-125.

YE Tiangui，JIN Guoyong，LIU Zhigang

Author information +

History +

Abstract

A three-dimensional approach was proposed for solving vibration characteristics of laminated plates of arbitrary boundary conditions and lamination schemes, based on the generalized spectral method and the differential quadrature technique.Numerical verification shows that the proposed method converges rapidly and has high calculation precision.Effects of transverse shear and normal deformations on the vibration characteristics of laminated plates were systemically analyzed.The analysis shows that: ① transverse shear deformation has significant effects on the vibration frequencies of laminated plates and the effects are increased with thickness ratio; ② transverse normal deformation has significant effects on the vibration frequencies of laminated plates composed of layers of high hierarchy materials and the effects are increased with thickness ratio.

Key words

laminated plates / vibration / transverse shear and normal deformation / general restraints

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

YE Tiangui，JIN Guoyong，LIU Zhigang. Effects of transverse shear and normal deformations on the vibration characteristics of laminated plates[J]. Journal of Vibration and Shock, 2019, 38(20): 118-125

References

[1] 钱江, 李楠, 史文强. 复合材料在国外海军舰船上层建筑上的应用与发展[J]. 舰船科学技术, 2015(1):233-237.
QIAN Jiang, Li Nan, SHI Wen-qiang. The application of composites for foreign naval warships' superstructure[J]. Ship Science and Technology, 2015(1):233-237.
[2] 刘人怀, 薛江红. 复合材料层合板壳非线性力学的研究进展[J]. 力学学报, 2017, 49(3):487-506.
LIU Ren-huai, XUE Jiang-hong. Development of non-linear theories for laminated composite plates and shells[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(1): 139-143
[3] 段铁城, 李录贤. 厚板的高阶剪切变形理论研究[J]. 力学学报, 2016, 48(5):1096-1113.
DUAN Tie-cheng, LI Lu-xian. Study on higher-order shear deformation theories of thick-plate[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(5): 1096-1113.
[4] Qatu MS. Vibration of laminated shells and plates[M]. San Diego: Elsevier, 2004.
[5] Reddy JN. Mechanics of laminated composite plates and shells: theory and analysis[M]. Florida: CRC Press,2003.
[6] 舒小平. 层间滑移对复合材料层合板自由振动的影响[J]. 淮海工学院学报, 2000, 9(3): 9-11.
SHU Xiao-ping. The effect of interfacial slip on free vibration of laminated composite plates. Journal of huaihai institute of technology, 2000, 9(3): 9-11.
[7] Cho M, Kim MH. A postprocess method using a displacement field of higher-order shell theory[J]. Composite structures, 1996, 34(2): 185-196.
[8] Murakami H. Laminated composite plate theory with improved in-plane responses[J]. Journal of Applied Mechanics, 1986, 53(3): 661-666.
[9] Di Sciuva M. Multilayered anisotropic plate models with continuous interlaminar stresses[J]. Composite Structures, 1992, 22(3): 149-167.
[10] 吴振. 高性能整体-局部高阶理论及高阶层合板单元[D]. 大连: 大连理工大学, 2007.
WU Zhen. Higher-performance global-local higher-order theory and higher-order laminated plate elements[D]. Dalian: Dalian University of Technology, 2007.
[11] Ye T, Jin G. Elasticity solution for vibration of generally laminated beams by a modified Fourier expansion-based sampling surface method[J]. Computers & Structures, 2016, 167: 115-130.
[12] Jin G, Ye T, Su Z. Elasticity solution for vibration of 2‐D curved beams with variable curvatures using a spectral‐sampling surface method[J]. International Journal for Numerical Methods in Engineering, 2017, 111:1075–1100.
[13] Ye T, Jin G, Su Z. A spectral-sampling surface method for the vibration of 2-D laminated curved beams with variable curvatures and general restraints[J]. International Journal of Mechanical Sciences, 2016, 110:170-189.
[14]瞿叶高, 华宏星, 谌勇等. 复合材料旋转壳自由振动分析的新方法[J]. 力学学报, 2013, 45(1):139-143.
QU Ye-gao, HUA Hong-xing, CHEN Yong, et al, A new method for free vibration analysis of composite laminated shelles of revolution[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(1):139-143.
[15] 瞿叶高, 孟光, 华宏星等. 基于区域分解的薄壁回转壳自由振动分析[J]. 应用力学学报, 2013, 30(1):1-6.
QU Ye-gao, MENG Guang, HUA Hong-xing, et al. Free vibration analysis of thin shells of revolution based on domain decomposition method[J]. Chinese Journal of Applied Mechanics, 2013, 45(1):139-143.
[16]Ye T, Jin G, Su Z, et al. A modified Fourier solution for vibration analysis of moderately thick laminated plates with general boundary restraints and internal line supports[J]. International Journal of Mechanical Sciences, 2014, 80:29-46.
[17] Qu Y, Wu S, Li H, et al. Three-dimensional free and transient vibration analysis of composite laminated and sandwich rectangular parallelepipeds: Beams, plates and solids[J]. Composites Part B: Engineering, 2015, 73: 96-110.