Bungee jump -> differential equation -> simulink simulation

Click For Summary
The discussion revolves around simulating a bungee jump model using differential equations and Simulink. The user has successfully created a model with zero initial values but seeks to enhance its realism by incorporating the effects of elasticity and air resistance. They present a canonical form of the equation governing the motion, highlighting parameters such as air resistance (B), jumper weight (m), and elasticity ratio (k). The user also expresses confusion about negative values for velocity and acceleration in the simulation and seeks guidance on correcting these issues. They later realize that their initial calculation for the time at which elasticity forces begin to act was incorrect due to neglecting air resistance.
Wesker
Messages
4
Reaction score
0
Hello guys, I found this forum using google because I need help with simulating bungee jump model.
I've already done that with zero initial values and it looks good but I want it more realistic :
Let's say L is the length of rope so elasticity force starts acting when y=L so logically time should be
t(L) = sqrt(2*g*L)
I think that if t >=t(L) all forces should be acting togheter until there is not balance between them..
Canonical form is : y''(t) = g - B/m*y'(t) - k/m*y(t)
B - air resistance
m - jumper weight
k - elasticity ratio
I'm including screenshot of model I simulated so far...
What am I supposed to edit ?
Thanks for you answers!
 

Attachments

  • bungeejump.png
    bungeejump.png
    21.2 KB · Views: 1,194
Physics news on Phys.org
+ I can't figure out why in some point velocity and acceleration goes below zero... If someone could explain me resp. guide me how to correct it I'd be really glad :)
Values I used :
B = 13.08
m = 80
k = 2.83
 
Ok I solved it with switch... and btw t(L) = sqrt(2*g*L) this is wrong as there is also air resistance..
 

Similar threads

Replies
44
Views
6K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
1
Views
9K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
12
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 14 ·
Replies
14
Views
6K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
9
Views
4K