横向剪切及伸缩变形对层合板振动特性的影响分析

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (20) : 118-125.

论文

叶天贵，靳国永，刘志刚

作者信息 +

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

YE Tiangui，JIN Guoyong，LIU Zhigang

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文章历史 +

摘要

针对层合板振动特性问题，基于广义谱方法和微分求积法建立了一种适用一般边界条件和铺层方式的三维解法。验证结果表明该方法具有良好的收敛速度和计算精度。系统分析了不同边界条件和铺层方式下横向剪切及伸缩变形对层合板振动特性的影响。分析结果表明：（1）横向剪切变形对层合板固有频率的影响非常显著，且随厚度比增加而加剧；（2）横向伸缩变形对各铺层材料参数相同的层合板的固有频率影响不大，而对于各铺层材料性质差异明显的层合板，其影响非常显著，且随厚度比增加而加剧。

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.

导出引用

叶天贵，靳国永,刘志刚. 横向剪切及伸缩变形对层合板振动特性的影响分析[J]. 振动与冲击, 2019, 38(20): 118-125

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

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