Page 527 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

514 Normal Modes of Uniform Beams Appen. D

TABLE D.3
CHARACTERISTIC FUNCTIONS AND DERIVATIVES
CLAMPED-CLAMPED BEAM
FIRST MODE
X 1 j L ^
1 <#>1 ß , d x ß \ dx^ ' ß \ dx^

0.00 0.00000 0.00000 2.00000 -1.46819
0.04 0.00552 0.14588 1.88988 -1.46805
0.08 0.02168 0.28350 1.77980 -1.46710
0.12 0.04784 0.41286 1.66985 -1.46455
0.16 0.08340 0.53400 1.56016 -1.45968
0.20 0.12774 0.64692 1.45096 -1.45182
0.24 0.18024 0.75167 1.34247 -1.44032
0.28 0.24030 0.84832 1.23500 -1.42459
0.32 0.30730 0.93696 1.23889 -1.40410
0.36 0.38065 1.01771 1.02451 -1.37834
0.40 0.45977 1.09070 0.92227 -1.34685
0.44 0.54408 1.15612 0.82262 -1.30924
0.48 0.63301 1.21418 0.72603 -1.26512
0.52 0.72603 1.26512 0.63301 -1.21418
0.56 0.82262 1.30924 0.54408 -1.15612
0.60 0.92227 1.34685 0.45977 -1.09070
0.64 1.02451 1.37834 0.38065 -1.01771
0.68 1.12889 1.40410 0.30730 -0.93696
0.72 1.23500 1.42459 0.24030 -0.84832
0.76 1.34247 1.44032 0.18024 -0.75167
0.80 1.45096 1.45182 0.12774 -0.64692
0.84 1.56016 1.45968 0.08340 -0.53400
0.88 1.66985 1.46455 0.04784 -0.41286
0.92 1.77980 1.46710 0.02168 -0.28350
0.96 1.88988 1.46805 0.00552 -0.14588
1.00 2.00000 1.46819 0.00000 0.00000