Recent content by mina1363
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Richardson Extrapolation to check convergence
Many thanks for making me realize this. I was too focused on the fact that I have to remesh and run the simulation again and not thinking that the point was about a finer mesh and not a coarser one... so I'm just going to run the simulation with a coarser mesh and use the extrapolation which...- mina1363
- Post #6
- Forum: Mechanical Engineering
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Richardson Extrapolation to check convergence
Many thanks. I understand the method. I am confused because I was told to use Richardson extrapolation to eliminate the need of using a refined mesh or smaller time steps. However From what I understand and also what you just told me the method is based on using the step/mesh size so I would...- mina1363
- Post #4
- Forum: Mechanical Engineering
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Richardson Extrapolation to check convergence
Hi, I need to know how one can check space and time convergence using Richardson Extrapolation. Does anyone know any good references. I have a slight idea... the thing I am wondering about is how using this method can eliminate the need for further simulations using smaller time steps or a...- mina1363
- Thread
- Convergence Extrapolation
- Replies: 5
- Forum: Mechanical Engineering
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Newmark's method to solve a system of spring elements
Hi, I had a look at your code. Everything seems fine. Althought I'm not familiar with the choleski function in Matlab as I just wrote my own algorithm. So make sure that the function gives you L and D. The other thing that I didn't use is the substitution function. Again I'm not sure how that...- mina1363
- Post #14
- Forum: Mechanical Engineering
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Newmark's method to solve a system of spring elements
Hi, I'm sorry I've not had chance to look at it yet. I will look at it this afternoon and will let you know asap.- mina1363
- Post #13
- Forum: Mechanical Engineering
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Newmark's method to solve a system of spring elements
Hi, I don't have access to my code right now. If you wish send me your code and I'll have a look at it by all means.- mina1363
- Post #10
- Forum: Mechanical Engineering
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Newmark's method to solve a system of spring elements
I'm not sure to be honest but at least with the one form the Finite Element Procedures book you can check your algorithm (for a constant force) by doing the example in the book. If you don't have access to the book try www.scribd.com- mina1363
- Post #8
- Forum: Mechanical Engineering
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Newmark's method to solve a system of spring elements
Hi, The example in Bathe, K.-J., (1996), Finite Element Procedures is applied to a case with a cosntant force. Unfortuantely I haven't done one for a vairable force yet. Regards,- mina1363
- Post #6
- Forum: Mechanical Engineering
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Newmark's method to solve a system of spring elements
Hi, Thank you for mentioning Bathe's book. So I used Newmark's algorithm from : Bathe, K.-J., (1996), Finite Element Procedures, Prentice-Hall International, page 781 and I did example 9.4 using the simple code I wrote and I got the answers. But I only managed to get the answers because when...- mina1363
- Post #4
- Forum: Mechanical Engineering
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Stability Analysis of Newmark's Method for Non-Singular Linear Systems
Hi, I know this thread goes a while back but I'm trying to write a code for a linear system of spring elements using the Newmark's method of integration. The system is undamped and forced and the mass and stiffness matrices are non-singular . I was wondering if you found a good reference in the...- mina1363
- Post #6
- Forum: Mechanical Engineering
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Newmark's method to solve a system of spring elements
Thank you for your reply. I think the steps shown in the document you attached are essentially the same only that they are for a free vibration system with no damping...rather than a forced one... I'm going to chekc out the other one you mentioned now.- mina1363
- Post #3
- Forum: Mechanical Engineering
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Newmark's method to solve a system of spring elements
Hi, I have been trying to solve a system consisting of 3 linear spring elements using the Newmark's method to find displacement, velocity and acceleration in Matlab. I followed the instructions shown on page 5 of the paper attached and my code does not seem to be working as the displacement...- mina1363
- Thread
- Elements Method Spring System
- Replies: 15
- Forum: Mechanical Engineering