Explicit Finite difference scheme on spreadsheet

AI Thread Summary
The discussion revolves around solving a problem involving a steel bar subjected to an impact, requiring the application of explicit finite difference schemes in a spreadsheet. Key points include determining the boundary conditions at both ends of the bar, which are identified as fixed and free, and constructing a spreadsheet model with 8 nodes to simulate the wave propagation. The time step for the simulation is set at 1E-6 seconds, with results needing to be plotted for displacements at specific times. Participants express confusion about programming the spreadsheet cells correctly to achieve the desired calculations. The conversation highlights the need for clear guidance on implementing the explicit finite difference method in this context.
seraphi
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I know this is really stupid and it looks like i haven't tried at all but i am genuinely confused about this so any guidance at all would help big time. so here is the question.


A steel bar, 70mm long is struck at one end by a heavy mass moving at 20m/s. The impact causes a compression wave to travel to the end of the bar whihc is kept fixeed. density of bar is 7900kg/m and E=200Gpa.

a)what are boundary consitions at the two ends.

b)construct a spreadsheet to solve problem using explicit FD scheme with 8 nodes. time step= 1E-6s. plot results for displacement w at times t=1E-5s and t=2E-5s.


I assume the boundary conditions to be 20 and 0 but the problem for me is what exactly do i program each cell to do.
 
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Hi i know this is an answer to your question, but i was just wondering, which university do you go to?
 
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