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板中正交静应力与任意方向兰姆波波速的关系

The relationship between orthogonal static stresses in a plate and lamb wave velocity in an arbitrary direction

  • 摘要: 运用部分波分析法(或子波分析)理论推导了在正交静应力下,板中任意方向的Lamb波的频散方程,给出了任意方向Lamb波波速、正交静应力和频率之间的关系. 进行了数值计算并讨论了对称方向的Lamb波波速对单向静应力的依赖关系,为将Lamb波用于应力测量提供了理论依据.

     

    Abstract: A general dispersion equation for Lamb waves in anarbitrary direction was derived in an isotropic hyperelastic plate subjectedto orthogonal static stresses with wavelet analysis. The relationship amongLamb wave velocity, orthogonal static stresses and frequency was analyzed inthe present study. In addition, we discussed the relationship between Lambwave velocity and uniaxial static stress with numerical method. The resultsprovides the theoretical basis for Lamb wave applied to the stressmeasurement in thin plate.

     

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