Page 525 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

512 Normal Modes of Uniform Beams Appen. D

TABLE D.1
CHARACTERISTIC FUNCTIONS AND DERIVATIVES
CLAMPED-CLAMPED BEAM
FIRST MODE

X 1 ^ 1 d^ i
f
7 <> i ' ßi dx ' ß] dx^ ß\ dx^
0.00 0.00000 0.00000 2.00000 -1.96500
0.04 0.03358 0.34324 1.62832 -1.96285
0.08 0.12545 0.61624 1.25802 -1.94862
0.12 0.26237 0.81956 0.89234 -1.91254
0.16 0.43126 0.95451 0.53615 -1.84732
0.20 0.61939 1.02342 0.19545 -1.74814
0.24 0.81459 1.02986 -0.12305 -1.61250
0.28 1.00546 0.97870 -0.41240 -1.44017
0.32 1.18168 0.87608 -0.66581 -1.23296
0.36 1.33419 0.72992 -0.87699 -0.99452
0.40 1.45545 0.54723 -1.04050 -0.73007
0.44 1.53962 0.33897 - 1.15202 -0.44611
0.48 1.58271 0.11478 - 1.20854 -0.15007
0.52 1.58271 -0.11478 - 1.20854 0.15007
0.56 1.53962 -0.33897 -1.15202 0.44611
0.60 1.45545 -0.54723 -1.04050 0.73007
0.64 1.33419 -0.72992 -0.87699 0.99452
0.68 1.18168 -0.87608 -0.66581 1.23296
0.72 1.00546 -0.97870 -0.41240 1.44017
0.76 0.81459 - 1.02986 -0.12305 1.61250
0.80 0.61939 - 1.02342 0.19545 1.74814
0.84 0.43126 -0.95451 0.53615 1.84732
0.88 0.26237 -0.81956 0.89234 1.91254
0.92 0.12545 -0.61624 1.25802 1.94862
0.96 0.03358 -0.34324 1.62832 1.96285
1.00 0.00000 0.00000 2.00000 1.96500