Recent content by Mishal0488

Spring is massless. By impact forces I am implying moment the spring and mass connect again, the mass will have an acceleration which will obviously cause an impulse in the system. Should that vbs taken care naturally by the direction equations or does it need to have special considerations

Hi guys I am not going to go into detail with the problem at hand just an outline. Let’s assume a spring mass system where the system acts in the vertical. The equations are simple to derive and event handling on Julia can help with decoupling the system where the mass and spring are no longer...

I have got sinusoidal results, if k_b and k_c are appropriate resonance does exist. When representing the system in state representation (1st order differential equations) I have played around with removing the k_b stiffness at different time steps and I do get behavior that I expect.

Hi Guys Please refer to my attached derivation, do you think it is acceptable? There is a torsional spring at the base of the column. in reality the column is going to be a complex structure however the torsional stiffness can be approximated using dummy loads on the structural model.

As a structural engineer, I suggestion is to look into the finite element method. The stiffness matrix for beam elements is well defined and can easily be implemented using Python, Matlab, Julia etc... Furthermore Gridap presents an approach where the weak form of a differential equation can be...

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...

A bit of a different approach, why don't you look into something like LIGGGHTS or Granoo to model the required behavior.

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...