Mukdadi O M, Desai Y M, Datta S K, Shah A H, Niklasson A J
Department of Mechanical Engineering, University of Colorado, Boulder 80309-0427, USA.
J Acoust Soc Am. 2002 Nov;112(5 Pt 1):1766-79. doi: 10.1121/1.1509426.
Guided waves in a layered elastic plate of rectangular cross section (finite width and thickness) has been studied in this paper. A semianalytical finite element method in which the deformation of the cross section is modeled by two-dimensional finite elements and analytical representation of propagating waves along the length of the plate has been used. The method is applicable to arbitrary number of layers and general anisotropic material properties of each layer, and is similar to the stiffness method used earlier to study guided waves in a laminated composite plate of infinite width. Numerical results showing the effect of varying the width of the plate on the dispersion of guided waves are presented and are compared with those for an infinite plate. In addition, effect of thin anisotropic coating or interface layers on the guided waves is investigated.
本文研究了矩形横截面(有限宽度和厚度)层状弹性板中的导波。采用了一种半解析有限元方法,其中横截面的变形由二维有限元建模,沿板长度方向传播波的解析表达式被采用。该方法适用于任意层数以及各层的一般各向异性材料特性,并且类似于早期用于研究无限宽层合复合板中导波的刚度法。给出了显示改变板宽度对导波色散影响的数值结果,并与无限板的结果进行了比较。此外,还研究了薄各向异性涂层或界面层对导波的影响。