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Dynamic analysis of a beam due to a moving mass

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Shinner 2017-8-18

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评论： AL 2024-12-3，1:50

I have modelled the dynamic response of a continuous beam due to a moving force using FEM in Matlab. I'd like to do the same analysis but with a moving mass (i.e taking into account inertia effects). From there I'd also like to look at a sprung mass. I'm not sure how to tweak my programme in order to do this so I'm wondering if anyone can help me on this matter.

I understand the theory involved but I'm now sure how to implement it in Matlab. I've used 20 beam elements to model the beam and assembled the global stiffness and mass matrices from these and I've used the wilson theta method to solve for displacements. If you know about this topic I can send you my program for a better understanding.

Also I should add that this is for crane analysis and not a vehicle crossing a bridge.

Thank you!

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Abdullah Kacar 2017-9-15

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编辑：Abdullah Kacar 2017-9-15

Hello friend. I'm in the same situation. The static part in MATLAB is done and it's been verified with ANSYS Workbench. Now i have to make a code with a moving mass instead of a static mass and don't know where to start. Do you have some literature you could send me? Thx.

KSSV 2017-9-15

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When you have set up all your matrices..what problems you have for dynamic analysis ?

Abdullah Kacar 2017-9-16

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编辑：Abdullah Kacar 2017-9-16

I'm not entirely sure about how to tackle the problem. My first thought is to use newmark to add a moving force (i think this should work)? Using newmark i should be able to get my deformation, velocity and acceleration. But when inserting a moving load, the stiffness and mass matrix has to be updated also i assume? In which case, do i just store the different matrices, or can i somehow simplify it to 1 matrix.

If you have any litterature or an example i would appriciate it!

Abdullah Kacar 2017-9-18

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The problem is solved. By using newmark method it is possible to insert a load and move the load by looping it over time. thx.

Yahya Ahadi 2018-8-21

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Dear my friend I have this problem too. could you please help me? I want to check it by spectral element method. my email address is Ahadi@iauj.ac.ir. Regrads.

Piotr Haciuk 2019-1-30

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Hi Shinner

I have the same task to do, I am struugling with moving mass implementation.

I've done the FEM of my structure, I've done the calculations of displacements using ode45 that solves my equations of motion for Multi degree of freedom system.

Could you share with me with your workings so I can find some inspiration?

if yes: piotr.haciuk@gmail.com

Thank you

Sumit Yelpale 2021-2-6

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Hello there. I too am doing the analysis of a moving load on a beam. Could you please share the matlab code with me. It will of great help for me.

Email - sumityelpale@gmail.com

Thankyou.

DAVIDE ZOCCARATO 2021-2-9

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Hi there, I'm the same problem with the moving mass above the beam and I must to do the dynamic analysis. Could you share with me how you solved the problem please?

If yes: zoccaratodavide1@gmail.com

thank you

Cholakorn Cheevakasemsook 2022-9-12

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Hi there, I'm the same problem with the moving mass above the beam and I must to do the dynamic analysis. Could you share with me how you solved the problem please?

cholakorn2471@gmail.com

Thank you