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Tagged with classical-mechanics mathematical-modeling
4 questions
2
votes
1
answer
160
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Mechanics: Model beam using differential vectorial formulation
At the Wikipedia there are the differential formulation for Euler-Bernoulli Beam \eqref{1} and Timoshenko Beam \eqref{2}
$$
\begin{align}
&\dfrac{d^2}{dx^2}\left(EI\dfrac{d^2w}{dx^2}\right) = q(x) ...
3
votes
0
answers
107
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Mathematical formulation of beam: get stress/strain from forces and momentum
I'm working with static beams with Euler–Bernoulli model which ODE is
$$
\dfrac{d^2}{dx^2} \left(EI \cdot \dfrac{d^2w}{dx^2}\right) = q(x).
$$
With a beam along the $x$ axis, the solution consists of ...
3
votes
0
answers
239
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How to mix Lagrange mechanics + KKT conditions?
Question: How can I mix the concepts of Lagrange Mechanics and KKT conditions? I've learned that Lagrange Mechanics derivation comes from variational calculus, and in some formulations, we can add ...
2
votes
0
answers
104
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How to quantify the non-commutativity of human body motion? [closed]
Some years ago, there was that question on this forum:"How to quantify noncommutativity?".
I am asking that question in a context, human movement, which implies kinematic chains (like in ...