bicycle model vehicle

[reye]

hello to everyone, they are struggling with the bicycle model of a vehicle. It is a linear model. I have read that there are also non-linear models, but I do not have a matrix formulation as for the bicycle model. Can someone give me more info about this?

 

[meccanicamg]

I don't. However all analysis can be linear or non-linear: depends on the variables in play as they behave in time.

 

[Er Presidente]

hello to everyone, they are struggling with the bicycle model of a vehicle. It is a linear model. I have read that there are also non-linear models, but I do not have a matrix formulation as for the bicycle model. Can someone give me more info about this?

Excuse ignorance, but what's a "bike model of a vehicle"?

 

[meccanicamg]

is the simplification of a symmetric vehicle. practically you have a car with 4 wheels but it is symmetrical front+rear. Well as the bicycle where the back is fixed and front steering.... is like in solidworks the simplified fem 2d analysis

 

[Er Presidente]

I'm not sure I understand, but I trust the word...

 

[reye]

after in-depth studies I discovered that it is about solving a system of non-linear differential equations:

dv/dt=f(v,r)
dr/dt=f(v,r)

How do you manage?

 

[Er Presidente]

is it possible to ask to be less eschatological? not all users are graduates at mit. :wink:

 

[reye]

I have a system of two differential equations, in which the input is delta, and the output variables are vy and r.
derived from time are indicated with vyp and rp, the other parameters are constant. I have to get the system response to a step

(df)(d)(d)(d)(d)(d)))(d))(d))(d)(d))(d)(d))(d)(d))(d)))(d)(d))(d)(d)(d)(d)(d)(d)(d)(d))(d))(d)))(d))(d)(d))(d)(d)(d))(d)(d)(d)(d)(d)(d)(d)(d)(d)(d)(d)(d)(d)))(d))(d)(d)))(d)(d)(d)(d)))(d)(d)(d)(d)(d)(d)(d)))(d))))))(d)))))(d)(d)(d)(d)(d)(d)(d)(d)))(d)(d)))

(df)(d)(d))(d)(d))(d))(d))(d)(d)(d))(d)(d))(d)(d))(d)))(d)(d))(d)(d)(d))(d)(d)(d)(d))(d))(d))(d))(d))(d))(d)(d)(d)))(d)(d)(d)(d)(d)(d)(d)(d)(d)(d)(d))(d)(d)(d)(d)(d)(d)))(d)(d)(d)(d))))(d)(d)(d)(d)(d)(d)(d)))(d)))))))))))(d)(d)(d)(d)(d)(d)(d)(d)))(d)(d))))

 

[Er Presidente]

I have a system of two differential equations, in which the input is delta, and the output variables are vy and r.
derived from time are indicated with vyp and rp, the other parameters are constant. I have to get the system response to a step

(df)(d)(d)(d)(d)(d)))(d))(d))(d)(d))(d)(d))(d)(d))(d)))(d)(d))(d)(d)(d)(d)(d)(d)(d)(d))(d))(d)))(d))(d)(d))(d)(d)(d))(d)(d)(d)(d)(d)(d)(d)(d)(d)(d)(d)(d)(d)))(d))(d)(d)))(d)(d)(d)(d)))(d)(d)(d)(d)(d)(d)(d)))(d))))))(d)))))(d)(d)(d)(d)(d)(d)(d)(d)))(d)(d)))

(df)(d)(d))(d)(d))(d))(d))(d)(d)(d))(d)(d))(d)(d))(d)))(d)(d))(d)(d)(d))(d)(d)(d)(d))(d))(d))(d))(d))(d))(d)(d)(d)))(d)(d)(d)(d)(d)(d)(d)(d)(d)(d)(d))(d)(d)(d)(d)(d)(d)))(d)(d)(d)(d))))(d)(d)(d)(d)(d)(d)(d)))(d)))))))))))(d)(d)(d)(d)(d)(d)(d)(d)))(d)(d))))

taking into account that...
If you want, we can talk about it.

p.s.: a splendor.

 

[reye]

taking into account that...
If you want, we can talk about it.

p.s.: a splendor.

you had meant that you wanted to have everything explicit, well here it is in essence it is the final formulation of a nonlinear model (magic formula) of vehicle. It is "only" to integrate that equation system in order to get the two vy and r variables (longer speed and landing speed), considered a step input (detault input). However, as you can imagine, it is not simple, and I wanted to ask if someone has to deal with this issue

 

[radio]

hello to everyone, they are struggling with the bicycle model of a vehicle. It is a linear model. I have read that there are also non-linear models, but I do not have a matrix formulation as for the bicycle model. Can someone give me more info about this?

hi reye, could you explain in simple words what is the "bike model" of a 4-wheeled vehicle?
What's that for?
static analysis?
dynamic?
can simplify a 4-wheeled vehicle considering symmetrical in order to analyze its behavior?
leave integral derivatives and similar, for me am ancient Tibetan dialect; I am pleased to understand to great lines what the model you mentioned serves in practice.

Bye.

 

[reye]

hi reye, could you explain in simple words what is the "bike model" of a 4-wheeled vehicle?
What's that for?
static analysis?
dynamic?
can simplify a 4-wheeled vehicle considering symmetrical in order to analyze its behavior?
leave integral derivatives and similar, for me am ancient Tibetan dialect; I am pleased to understand to great lines what the model you mentioned serves in practice.

Bye.

to analyze the directional stability of a vehicle (substerzo or oversterzo), known the characteristic parameters