Thank you kindly for all the comments!!! @DaveE I think I was on the same wavelength as you are when considering the IC's. The example is a basic idea just to get the though across but I think the mathematics for what I want to do can be easily performed...
Hi guys
Please refer to the attached image.
It is really easy to derive a set of differential equations which present a spring on a mass system, however how can one consider a system where the mass and spring can decouple? The first image on the left shows a spring a rest with a mass which...
I may be mistaking your question to some extent, however you do not need to model generalized force to the theta component, unless you are actually applying a force to the rod, in which case the loading becomes a little more complicated. Your virtual angle needs to be converted into an actual...
Hi Guys
Please refer to the attached document for my derivation.
The image presents the system in plan view, I know one my think that it is unstable structure based on a single pinned connection however this is a simplification of a complex structure sitting on a slew bearing.
Gravity does...
Thanks, I will digest proposal tomorrow.
I need to also apply a dynamic load which is always parallel to the springs and horizontal. The application of such may become a bit difficult with the proposed coordinate system.
Hi Guys
Finally after a great struggle I have managed to develop and solve my Lagrangian system. I have checked it numerous times over and over and I believe that everything is correct.
I have attached a PDF which has the derivation of the system. Please ignore all the forcing functions and...
Hi Guys
Sorry for the rudimentary post. I am busy with a numerical solution to a mechanics problem, and the results are just not as expected. I am re-checking the mathematics to ensure that all is in order in doing so I am second guessing a few things
Referring to the attached scan, is the...
@anuttarasammyak, Thank you for the assistance. I managed to get the system to solve on Matlab, I have not had a chance to check the legitimacy of the results as yet.
The only difference between your suggestion and what I have is the manner in which the spring length is represented. Your method...
Thank you.
With regards to the formulation of the Lagrangian we have done a similar thing with the difference being that my r1 and r2 are (a+r) and (b+r) however I think both a suitable.
I don't understand your holonomic constraint, can you please explain further?
Can the problem also be...
Hi Guys
I am looking for some guidance with regards to a Lagrangian problem I am trying to solve.
Please refer to the attached documents.
Please neglect all the forcing functions for the time being. I am currently just trying to simulate the problem using initial conditions only
I have...
Hi Guys
I just want to make sure that I am on the right track, with regards to time derivatives.
I have been out of university for many years and I have become a bit rusty.
Please refer to the attached image and let me know if I am on the right track.
Why solid state physics? The image is a mechanical system which I am trying to simulate.
Note that I am an engineer and my understanding of Lagrangian mechanics is limited since it is not taught as part of engineering. I have learned through self study.
I was hoping to develop the system of...
Hi Guys
Please refer to the attached file.
I have not included any of the derivatives or partial derivatives as it does get messy, I just just included the kinetic and potential energy equations and the holonomic constraint.
The holonomic constraint can be considered using Lagrange...