Research Article
A Generalized Method for Dispersion Analysis of Guided Waves in Multilayered Anisotropic Magneto-Electro-Elastic Structures
Table 3
At
, the first five frequencies
ω(rad·
μs
−1) of this method and the SAFE method for four types of boundary conditions.
| Order | κH | COO-COO | FOO-FOO | CSS-FOO | CSS-FSS | Present | SAFE | Present | SAFE | Present | SAFE | Present | SAFE |
| 1 | 0.1 | 2.1903917 | 2.1903918 | 0.0033443 | 0.0033449 | 1.1476403 | 1.1476404 | 1.1475982 | 1.1475982 | 1 | 2.2358191 | 2.2358192 | 0.0808296 | 0.0808296 | 1.2082122 | 1.2082122 | 1.2079061 | 1.2079061 | 5 | 2.3486511 | 2.3486511 | 0.2952657 | 0.2952657 | 1.3792981 | 1.3792981 | 1.3779587 | 1.3779587 | 10 | 7.9261897 | 7.9261898 | 6.9130532 | 6.9130540 | 7.3391532 | 7.3391539 | 6.8291233 | 6.8291240 |
| 2 | 0.1 | 2.5026132 | 2.5026133 | 0.0755095 | 0.0755094 | 1.1625765 | 1.1625765 | 1.1625267 | 1.1625267 | 1 | 2.6185597 | 2.6185598 | 0.3775293 | 0.3775293 | 1.3161216 | 1.3161216 | 1.3143270 | 1.3143270 | 5 | 2.9169772 | 2.9169772 | 0.7549353 | 0.7549353 | 1.6973168 | 1.6973168 | 1.6893442 | 1.6893442 | 10 | 8.0977034 | 8.0977037 | 7.3270113 | 7.3270116 | 7.7212133 | 7.7212134 | 7.7085842 | 7.7085843 |
| 3 | 0.1 | 4.4174689 | 4.4174692 | 0.1266132 | 0.1266132 | 2.5241962 | 2.5241963 | 2.5153521 | 2.5153521 | 1 | 4.3670899 | 4.3670901 | 0.6331044 | 0.6331044 | 2.4874638 | 2.4874639 | 2.4757853 | 2.4757854 | 5 | 4.2709468 | 4.2709470 | 1.2583286 | 1.2583286 | 2.4250517 | 2.4250518 | 2.4041821 | 2.4041822 | 10 | 8.7332388 | 8.7332391 | 7.3972608 | 7.3972613 | 8.1518001 | 8.1518008 | 8.1316476 | 8.1316481 |
| 4 | 0.1 | 4.5866867 | 4.5866869 | 2.2857619 | 2.2857620 | 3.4102131 | 3.4102133 | 3.4091857 | 3.4091859 | 1 | 4.5813403 | 4.5813407 | 2.3159188 | 2.3159188 | 3.4412658 | 3.4412660 | 3.4396404 | 3.4396406 | 5 | 4.6159844 | 4.6159848 | 2.4050855 | 2.4050855 | 3.5146737 | 3.5146739 | 3.5127381 | 3.5127383 | 10 | 9.4650756 | 9.4650772 | 7.8231315 | 7.8231316 | 8.4819803 | 8.4819805 | 8.4773996 | 8.4773999 |
| 5 | 0.1 | 4.8508575 | 4.8508580 | 2.4054818 | 2.4054818 | 3.6030122 | 3.6030124 | 3.6024039 | 3.6024041 | 1 | 5.0008920 | 5.0008924 | 2.4887922 | 2.4887923 | 3.7129826 | 3.7129828 | 3.7075136 | 3.7075139 | 5 | 5.2797764 | 5.2797768 | 2.7227625 | 2.7227626 | 3.9809228 | 3.9809230 | 3.9750832 | 3.9750834 | 10 | 10.236278 | 10.236279 | 8.4565224 | 8.4565236 | 9.2465863 | 9.2465875 | 9.2369085 | 9.2369096 |
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