Shock and Vibration / 2017 / Article / Tab 1 / Research Article
A Normalized Transfer Matrix Method for the Free Vibration of Stepped Beams: Comparison with Experimental and FE(3D) Methods Table 1 The first five natural frequencies
for stepped Timoshenko beam in the case where the beam is rigidly restrained against rotation
and elastically restrained in translation
in comparison with [
18 ].
[18 ] 0.25 1.0 0.8 3.010 9.696 34.010 74.430 132.341 Present NTM 3.0098 9.6956 34.0101 74.4300 132.3410 [18 ] 0.8 0.8 3.249 9.664 34.315 74.645 131.803 Present NTM 3.2490 9.6638 34.3151 74.6445 131.7507 [18 ] 0.8 0.6 3.385 8.117 28.630 60.997 103.439 Present NTM 3.3851 8.1171 28.6302 60.9947 103.4075 [18 ] 0.50 1.0 0.8 2.958 10.046 34.993 80.145 139.666 Present NTM 2.9579 10.0460 34.9931 80.1455 139.6667 [18 ] 0.8 0.8 3.124 10.165 34.688 80.570 139.175 Present NTM 3.1240 10.1655 34.6882 80.5707 139.1759 [18 ] 0.8 0.6 3.284 9.499 28.501 70.123 118.482 Present NTM 3.2841 9.4989 28.5006 70.1232 118.4830 0.0036 [18 ] 0.25 1.0 0.8 3.007 9.668 33.571 72.393 126.111 Present NTM 3.0066 9.6678 33.5711 72.3926 126.1107 [18 ] 0.8 0.8 3.245 9.635 33.862 72.607 125.617 Present NTM 3.2454 9.6354 33.8621 72.6068 125.6169 [18 ] 0.8 0.6 3.381 8.103 28.364 59.839 100.245 Present NTM 3.3812 8.1031 28.3643 59.8385 100.2447 [18 ] 0.50 1.0 0.8 2.946 9.919 33.205 71.469 116.725 Present NTM 2.9462 9.9192 33.2046 71.4693 116.7245 [18 ] 0.8 0.8 3.112 10.030 32.926 71.741 116.362 Present NTM 3.1120 10.0304 32.9259 71.7415 116.3618 [18 ] 0.8 0.6 3.272 9.391 27.449 64.020 102.697 Present NTM 3.2721 9.3908 27.4490 64.0200 102.6966 0.01 [18 ] 0.25 1.0 0.8 3.001 9.619 32.841 69.229 117.238 Present NTM 3.0009 9.6192 32.8407 69.2292 117.2380 [18 ] 0.8 0.8 3.239 9.586 33.109 69.444 116.798 Present NTM 3.2390 9.5858 33.1092 69.4435 116.7981 [18 ] 0.8 0.6 3.374 8.078 27.914 57.970 95.370 Present NTM 3.3744 8.0784 27.9139 57.9705 95.3698 [18 ] 0.50 1.0 0.8 2.926 9.710 30.711 61.768 95.623 Present NTM 2.9255 9.7104 30.7111 61.7680 95.6230 [18 ] 0.8 0.8 3.019 9.809 30.464 61.912 95.326 Present NTM 3.0908 9.8086 30.4643 61.9117 95.3257 [18 ] 0.8 0.6 3.251 9.211 25.893 56.578 86.647 Present NTM 3.2511 9.2111 25.8933 56.5776 86.6473
