Page 526 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

Appen. D Normal Modes of Uniform Beams 513

TABLE D.2
CHARACTERISTIC FUNCTIONS AND DERIVATIVES
CLAMPED-CLAMPED BEAM
SECOND MODE
X 1 di>2 ,, 1 1 ^^2

1 <t>2 ß2 dx ß i dx^
0.00 0.00000 0.00000 2.00000 -2.00155
0.04 0.08834 0.52955 1.37202 -1.99205
0.08 0.31214 0.86296 0.75386 -1.93186
0.12 0.61058 1.00644 0.16713 -1.78813
0.16 0.92602 0.97427 -0.35923 -1.54652
0.20 1.20674 0.79030 -0.79450 -1.21002
0.24 1.41005 0.48755 -1.11133 -0.79651
0.28 1.50485 0.10660 -1.28991 -0.33555
0.32 1.47357 -0.30736 -1.32106 0.13566
0.36 1.31314 -0.70819 -1.20786 0.57665
0.40 1.03457 ' -1.05271 -0.96605 0.94823
0.44 0.66150 -1.30448 -0.62296 1.21670
0.48 0.22751 -1.43728 -0.21508 1.35744
0.52 -0.22751 -1.43728 0.21508 1.35744
0.56 -0.66150 -1.30448 0.62296 1.21670
0.60 - 1.03457 - 1.05271 0.96605 0.94823
0.64 -1.31314 -0.70819 1.20786 0.57665
0.68 -1.47357 -0.30736 1.32106 0.13566
0.72 -1.50485 0.10660 1.28991 -0.33555
0.76 -1.41005 0.48755 1.11133 -0.79651
0.80 -1.20674 0.70930 0.79450 -1.21002
0.84 -0.92602 0.97427 0.35923 -1.54652
0.88 -0.61058 1.00644 -0.16713 -1.78813
0.92 -0.31214 0.86296 -0.75386 -1.93186
0.96 -0.08834 0.52955 -1.37202 -1.99205
1.00 0.00000 0.00000 -2.00000 -2.00155