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Mechanical Engineering
The task in hand is to compute the analytical, numerical, laplace and Simulink modeling of spring mass damper system shown in following figure
.png)
Following the above model, following equation represent this model
mx ̈(t)+cx ̇(t)+kx(t)=F(t)
Where the parameters for the given circuit is defined as,
F_o=30N
k=1000N/m
ξ=0.1
ω_n=3.16
t_o=2 sec
x(0)=0 m
v(0)=0 m/s
.png)
From the graph give, the system can be divided into two conditions, one is when t is less then or equal to t_o and second is when t is greater than t_o
For 0 <
.png)
.png)
mx ̈(t)+cx ̇(t)+kx(t)=F(t)
The block diagram of above-mentioned equation is as follows
.png)
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