Recent content by Mishal0488

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    A Decoupling of a spring mass system

    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...
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    A Decoupling of a spring mass system

    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...
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    B How to characterize a rubber ball moving horizontally and bouncing off of a vertical wall?

    A bit of a different approach, why don't you look into something like LIGGGHTS or Granoo to model the required behavior.
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    A Equations of Motion for Torsional Inverted Pendulum on a moving cart

    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...
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    A Is the Approach for Verifying Lagrangian Acceptable?

    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...
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    A Interpretation of Lagrangian solution (complex numbers)

    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.
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    A Interpretation of Lagrangian solution (complex numbers)

    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...
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    I Time derivative using the quotient rule

    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...
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    A Lagrangian for a double spring pendulum connected through a rigid bar

    @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...
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    A Lagrangian for a double spring pendulum connected through a rigid bar

    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...
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    A Lagrangian for a double spring pendulum connected through a rigid bar

    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...
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    I Time Derivatives: Hi Guys, Am I on the Right Track?

    Both theta and "a" are a function of time
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    I Time Derivatives: Hi Guys, Am I on the Right Track?

    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.
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    A Lagrangian Multipliers with messy Solution

    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...
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    A Lagrangian Multipliers with messy Solution

    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...
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