Register to reply 
What is the meaning of nonholonomy in a system? 
Share this thread: 
#1
Feb113, 10:20 AM

P: 21

I keep coming across this term and I cannot understand what this means pertaining to a mechanical system. I'm working on spherical robots and their control and there is mention of nonholonomy in the control of spherical robots. I googled it but I couldn't find a clear starting point to start reading. Someone point me to the fundamentals or something from where this starts?



#2
Feb113, 11:00 AM

PF Gold
P: 1,168

If I remember correctly, it has to do with the kind of constraints the system has. If the constraints are functions of coordinates only, the system is holonomic. This usually means the system is "simple" to analyze (mass point on a circle).
If the constraints cannot be expressed via coordinates only, but are functions of velocity or even worse, the system is nonholonomic. Then we expect the system to behave in am more complex way. (ball rolling on plane surface without slipping). https://en.wikipedia.org/wiki/Holonomic_constraints https://en.wikipedia.org/wiki/Nonholonomic 


#3
Feb113, 11:08 AM

P: 21




#4
Feb113, 08:13 PM

PF Gold
P: 1,168

What is the meaning of nonholonomy in a system?



#5
Feb113, 11:24 PM

P: 21




#6
Feb313, 10:35 PM

P: 163




#7
Feb313, 10:39 PM

P: 21




Register to reply 
Related Discussions  
Discuss the meaning of the result for total energy in a whole mass spring system  Introductory Physics Homework  1  
Signals And Systems  Determine System Output given Impulse Response and System Input  Engineering, Comp Sci, & Technology Homework  0  
Is kinetic energy of center of mass of a system is equal to KE of of system?  Introductory Physics Homework  7  
Solution to system of linear equations in range of system matrix  Calculus & Beyond Homework  2  
Gaseous system: Meaning of this integral eq.  Quantum Physics  0 