Holzer Method

1
Trial w^2 Floor Floor Mass Floor Displn Intertia Force Story Shear Story Stiff. Story Defln. 100 3 1.E+05 1.0000 1.00E+07 10000000 1.E+08 0.1000 2 2.E+05 0.9000 1.80E+07 2.80E+07 2.E+08 0.1400 1 3.E+05 0.7600 2.28E+07 5.08E+07 3.E+08 0.1693 0 0.5907 Trial w^2 Floor Floor Mass Floor Displn Intertia Force Story Shear Story Stiff. Story Defln. 200 3 1.E+05 1.000 2.00E+07 20000000 1.E+08 0.2000 2 2.E+05 0.800 3.20E+07 5.20E+07 2.E+08 0.2600 1 3.E+05 0.540 3.24E+07 8.44E+07 3.E+08 0.2813 0 0.259 Trial w^2 Floor Floor Mass Floor Displn Intertia Force Story Shear Story Stiff. Story Defln. 278 3 1.E+05 1.000 2.78E+07 27800000 1.E+08 0.2780 2 2.E+05 0.722 4.01E+07 6.79E+07 2.E+08 0.3397 1 3.E+05 0.382 3.19E+07 9.98E+07 3.E+08 0.3328 0 0.050 w^2 Base Displn 0 1 100 0.591 200 0.259 300 -0.002 400 -0.197 500 -0.333 600 -0.416 700 -0.451 800 -0.445 900 -0.404 1000 -0.333 1100 -0.239 1200 -0.128 1300 -0.005 1400 0.123 299 1.000 1304 1.000 2563.5 1.000 1500 0.25 0.701 -0.304 -1.564 1600 0.371 0.342 -0.560 1.163 1700 0.479 0.000 0.000 0.000 1800 0.568 1900 0.633 2000 0.667 2100 0.664 2200 0.619 2300 0.526 2400 0.376 2500 0.167 2600 -0.109 2700 -0.458 2800 -0.885 2900 -1.397 3000 -2 Mode I Mode II Mode III Holzer Method for Approx. Natural Freqencies and Mode Shapes -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 0 500 1000 1500 2000 2500 3000 ω2 Base Displacement

description

Holzer Method

Transcript of Holzer Method

Page 1: Holzer Method

Trial w^2 Floor Floor Mass Floor Displn Intertia Force Story Shear Story Stiff. Story Defln.100 3 1.E+05 1.0000 1.00E+07 10000000 1.E+08 0.1000

2 2.E+05 0.9000 1.80E+07 2.80E+07 2.E+08 0.14001 3.E+05 0.7600 2.28E+07 5.08E+07 3.E+08 0.16930 0.5907

Trial w^2 Floor Floor Mass Floor Displn Intertia Force Story Shear Story Stiff. Story Defln.200 3 1.E+05 1.000 2.00E+07 20000000 1.E+08 0.2000

2 2.E+05 0.800 3.20E+07 5.20E+07 2.E+08 0.26001 3.E+05 0.540 3.24E+07 8.44E+07 3.E+08 0.28130 0.259

Trial w^2 Floor Floor Mass Floor Displn Intertia Force Story Shear Story Stiff. Story Defln.278 3 1.E+05 1.000 2.78E+07 27800000 1.E+08 0.2780

2 2.E+05 0.722 4.01E+07 6.79E+07 2.E+08 0.33971 3.E+05 0.382 3.19E+07 9.98E+07 3.E+08 0.33280 0.050

w^2 Base Displn0 1

100 0.591200 0.259300 -0.002400 -0.197500 -0.333600 -0.416700 -0.451800 -0.445900 -0.404

1000 -0.3331100 -0.2391200 -0.1281300 -0.0051400 0.123

299 1.000 1304 1.000 2563.5 1.000 1500 0.250.701 -0.304 -1.564 1600 0.3710.342 -0.560 1.163 1700 0.4790.000 0.000 0.000 1800 0.568

1900 0.6332000 0.6672100 0.6642200 0.6192300 0.5262400 0.3762500 0.1672600 -0.1092700 -0.4582800 -0.8852900 -1.3973000 -2

Mode I Mode II Mode III

Holzer Method for Approx. Natural Freqencies and Mode Shapes

-1

-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

0 500 1000 1500 2000 2500 3000

ω2

Bas

e D

ispl

acem

ent