Timeline for Euler-Bernoulli beam equation
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 6, 2020 at 11:48 | comment | added | Alex Trounev | @PleaseCorrectGrammarMistakes There you discuss vibration modes. They gave you an answer. This question about this code can be discussed in another topic. | |
| Apr 6, 2020 at 1:02 | comment | added | A little mouse on the pampas |
Why can't the code in my post work out a numerical solution? tau = 10; L = 1; Elastic = 1; Imoment = 1; \[Rho] = 1; S = 1; sol = NDSolveValue[{D[Elastic*Imoment*D[w[x, t], {x, 2}], {x, 2}] + S*\[Rho]*D[w[x, t], {t, 2}] == 0, w[0, t] == 0, w[x, 0] == x^2/6 (3 - x), Derivative[0, 1][w][0, t] == 0, Derivative[0, 2][w][L, t] == Derivative[0, 3][w][L, t] == 0}, w, {x, 0, L}, {t, 0, tau}, ... `
|
|
| Apr 5, 2020 at 1:09 | comment | added | A little mouse on the pampas | Thank you very much for your answer. I have posted this question here. | |
| Apr 4, 2020 at 11:29 | comment | added | Alex Trounev |
@PleaseCorrectGrammarMistakes This is a non-linear problem - the strength depends on Cos[-D[w[x, t], x]]. In this case, the frequencies are determined based on a numerical solution. This can be compared with linear modes.
|
|
| Apr 3, 2020 at 22:47 | comment | added | A little mouse on the pampas | But I read this post, a cantilever beam can have countless natural frequencies, how to find out multiple natural frequencies? | |
| Apr 3, 2020 at 14:06 | history | edited | Alex Trounev | CC BY-SA 4.0 |
added 1254 characters in body
|
| Apr 3, 2020 at 13:23 | comment | added | Alex Trounev | @PleaseCorrectGrammarMistakes See update to my post. | |
| Apr 3, 2020 at 13:22 | history | edited | Alex Trounev | CC BY-SA 4.0 |
added 1453 characters in body
|
| Apr 3, 2020 at 10:38 | comment | added | A little mouse on the pampas | I think it's better to reopen a post and solve it in detail. | |
| Apr 3, 2020 at 10:25 | comment | added | Alex Trounev | @PleaseCorrectGrammarMistakes It is not a problem to determine frequencies. Will we continue this topic or start a new one? | |
| Apr 3, 2020 at 6:56 | comment | added | A little mouse on the pampas | I want to know how to solve the natural frequencies of the first to fifth order of the Euler Bernoulli beam in your answer. I can't see the frequency information in the three-dimensional image of your answer. | |
| Apr 1, 2020 at 19:10 | comment | added | Alex Trounev | @PleaseCorrectGrammarMistakes Thank you. However, the answer is not accepted. | |
| Apr 1, 2020 at 6:00 | comment | added | A little mouse on the pampas | A great answer. | |
| Feb 2, 2019 at 19:37 | history | answered | Alex Trounev | CC BY-SA 4.0 |