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Direct Eq. Cosine Eq

Input Parameters t u(t) (m) u(t) m

m 10 kg 0 0.025 0.025

k 100 N/m 0.1 0.024 0.024

xi 0.1 0.2 0.020 0.020

delta_t 0.1 s 0.3 0.015 0.0150.4 0.009 0.009

u_0 0.025 m 0.5 0.002 0.002

v_0 0 m/s 0.6 -0.004 -0.004

0.7 -0.010 -0.010

Undamped Properties 0.8 -0.015 -0.015

w 3.162 rad/s 0.9 -0.017 -0.017

f 0.503 Hz 1 -0.018 -0.018

T 1.987 s 1.1 -0.017 -0.017

1.2 -0.015 -0.015

Damped Properties 1.3 -0.011 -0.011

wd 3.146 rad/s 1.4 -0.006 -0.006

fd 0.501 Hz 1.5 -0.001 -0.001Td 1.997 s 1.6 0.003 0.003

1.7 0.008 0.008

Response Properties 1.8 0.011 0.011

ro 0.025125 m 1.9 0.013 0.013

theta 0.100167 rad 2 0.013 0.013

2.1 0.013 0.013

2.2 0.011 0.011

2.3 0.008 0.008

2.4 0.005 0.005

2.5 0.001 0.001

2.6 -0.002 -0.002

2.7 -0.006 -0.006

2.8 -0.008 -0.008

2.9 -0.009 -0.009

3 -0.010 -0.010

3.1 -0.009 -0.009

3.2 -0.008 -0.008

3.3 -0.006 -0.006

3.4 -0.003 -0.003

3.5 -0.001 -0.001

3.6 0.002 0.002

3.7 0.004 0.004

3.8 0.006 0.006

3.9 0.007 0.007

4 0.007 0.007

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-0.025

-0.020

-0.015

-0.010

-0.005

0.000

0.005

0.010

0.015

0.020

0.025

0.030

0 0.5 1 1.5 2 2.5

Displacement(m)

Time (s)

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3 3.5 4 4.5