首页> 外文期刊>Journal of Sound and Vibration >Flexural edge waves in semi-infinite elastic plates
【24h】

Flexural edge waves in semi-infinite elastic plates

机译:半无限弹性板中的弯曲边缘波

获取原文
获取原文并翻译 | 示例
           

摘要

This paper presents a detailed analysis of the dispersion for flexural edge waves in semi-infinite isotropic elastic plates. A solution to the dynamic equations of motion is constructed by the superposition of two partial solutions, each providing zero shear stresses at the plate faces. A dispersion equation is expressed via the determinant of an infinite system of linear algebraic equations. The system is reduced to a finite one by taking into account the asymptotic behaviour of unknown coefficients. The accuracy of the solution is confirmed by a good agreement with the available experimental data and by a proper satisfaction of the prescribed boundary conditions. A detailed analysis of dispersion properties for the edge wave and corresponding displacements at various frequencies is carried out. In addition to the well-known results it is shown that the plate height does not influence the existence of the edge wave at high frequencies and, as the frequency increases, the phase velocity of the edge wave in a semi-infinite plate asymptotically approaches the velocity of an edge wave in a right-angled wedge. The performed analysis allows evaluating the plate theories such as the Kirchhoff theory or other refined plate theories developed for modeling edge waves in semi-infinite elastic plates at low frequencies.
机译:本文详细分析了半无限各向同性弹性板中弯曲边缘波的色散。通过将两个局部解的叠加来构造运动动力学方程的解,每个局部解在板面上提供零切应力。色散方程通过线性代数方程的无限系统的行列式表示。通过考虑未知系数的渐近行为,将该系统简化为有限的系统。通过与现有实验数据的良好一致性以及对指定边界条件的适当满足,可以确认解决方案的准确性。对边缘波的色散特性和在各种频率下的相应位移进行了详细的分析。除众所周知的结果外,还表明板的高度不会影响边缘波在高频下的存在,并且随着频率的增加,半无限板中边缘波的相速度渐近地趋近于直角楔形中边波的速度。进行的分析允许评估板理论,例如基尔霍夫理论或其他精炼的板理论,这些模型是为在低频下半无限弹性板中的边波建模而开发的。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号