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Solving tricky functions - Hertzian contact stress - Сообщения
Good day everyone,
I am building a Hertzian stress calculator and got stuck at the step where I calculate the k value for a particular B/A reationship.
Any help will be appriciated
contact stress calc.sm (22 КиБ) скачан 170 раз(а).
I am building a Hertzian stress calculator and got stuck at the step where I calculate the k value for a particular B/A reationship.
Any help will be appriciated
contact stress calc.sm (22 КиБ) скачан 170 раз(а).
We also know than K will always be in the range (0,1)
The equations presented above is obtained from the book Advanced Mechanics of Materials by Boresi Et al
The equations presented above is obtained from the book Advanced Mechanics of Materials by Boresi Et al
In case of these functions, al_nleqsolve() can be the answer.
No other solver is capable other than al_nleqsolve().
k' should be under line, otherwise not solveable.
Here is your function solved.
Regards
contact stress calc_1.sm (28 КиБ) скачан 171 раз(а).

No other solver is capable other than al_nleqsolve().
k' should be under line, otherwise not solveable.
Here is your function solved.
Regards
contact stress calc_1.sm (28 КиБ) скачан 171 раз(а).
3 пользователям понравился этот пост
NDTM Amarasekera 21.10.2022 09:20:00, sergio 21.10.2022 05:43:00, Alvaro Diaz Falconi 24.10.2022 00:51:00
I'm super impressed !!!
WroteYour original document is circular and indigestible.
From un-sourced [K,E] and arbitrary datum ... solve.
This sample is not appropriate.
As you have said, it is only solvable when K and E already given.
roots() can't solve without K and E given or calculated separately.
And you can't calculate K and E while not knowing what k is.
Your sample is not what OP wants.
He means to solve that complicated Q function.
Without any parameter or variable of K and E are pre-given.
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Alvaro Diaz Falconi 26.10.2022 14:25:00, Oscar Campo 24.10.2022 11:14:00, sergio 25.10.2022 14:02:00
WroteGood day everyone,
I am building a Hertzian stress calculator and got stuck at the step where I calculate the k value for a particular B/A reationship.
Any help will be appriciated
contact stress calc.sm (22 КиБ) скачан 170 раз(а).
Solving by the old bisection method:
contact stress calc_by_bisection.sm (26 КиБ) скачан 147 раз(а).
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WroteSolving with a custom algorithm.
Very elegant!
... slightly refreshed/augmented
Absent of comments from Originator !
Cheers ... Jean.
Solve Circular Elliptic Datum Native Copy.sm (68 КиБ) скачан 154 раз(а).
Absent of comments from Originator !
Cheers ... Jean.
Solve Circular Elliptic Datum Native Copy.sm (68 КиБ) скачан 154 раз(а).
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