Recent content by Juanda

  1. Juanda

    Disengagement of a multi plate clutch

    I was having trouble understanding why the number of discs multiply the torque as if they're working in parallel, because in my head I always saw them as being in a chain. The video you shared helped me understand the difference. Thanks for posting. Kind of embarrassing as a mechanical...
  2. Juanda

    Mechanisms for multiaxis vibration

    In vibration tests, most of my experience is working with uniaxial machines. You get results in the other directions by reorienting the test element, the machine, or both. This can be annoying at least and risky at most. For in-plane motion, you run the test twice with a sliding table turning...
  3. Juanda

    Can an axle connected to a wheel transmit momentum to the plate to which it is attached?

    I had no idea sleeve bearings commonly seize. I'm assuming you're referring to metallic sleeves, maybe welding themselves to the shaft due to the generated heat? Is that the case? Have you heard of plastic-made sleeves seizing as well for whatever reason?
  4. Juanda

    Courses Looking for recommendations for topics for a master's thesis

    Hello Next semester I'll start my master's thesis, and I'm looking for recommendations. For context, I'm a mechanical engineer, and my master's degree is in computational engineering and mathematics. I don't need the master's thesis to be revolutionary; I'm just a normal guy, but I'd rather...
  5. Juanda

    I Optimization problem: Error mitigation while using trigonometry

    Hey Tim Forgive me if I'm being too suspicious but your post looks a lot like bot activity. It's your second post since the account has been created. You replied to the first post ignoring the answers from the thread where the formula was already derived. Those kinds of errors in formatting the...
  6. Juanda

    I Optimization problem: Error mitigation while using trigonometry

    Thank you very much. It's much clearer now. I calculated the absolute uncertainty which is a function of two variables. $$\begin{align*} \left (\Delta h\right )^2 &=\left (\frac{\partial h}{\partial {\bf \color {red} d}}\right )^{\!2} \left (\Delta{\bf\color {red} d} \right )^{\!2} +\left...
  7. Juanda

    I Optimization problem: Error mitigation while using trigonometry

    Is it possible the formula for ##\Delta h## is like this? $$\Delta h = \sqrt{\left(\frac{\partial h}{\partial d} \Delta d\right)^2 + \left(\frac{\partial h}{\partial \alpha} \Delta \alpha\right)^2}$$ It looks a lot like what I did in post #3 but it includes the squares mentioned in post #4...
  8. Juanda

    I Optimization problem: Error mitigation while using trigonometry

    I'm not familiar with that. In fact, I don't know the origin of that expression. I'll try first to understand the conclusions from the method proposed by @BvU because I'm struggling with it already and later I can try the one you propose.
  9. Juanda

    I Optimization problem: Error mitigation while using trigonometry

    No worries. I see the great work you all do in this forum and how frustrating it can be sometimes. We're all humans. Something I love about these AIs is that I can just keep asking for more details indefinitely until I understand things better using only my time. However, being able to check it...
  10. Juanda

    I Optimization problem: Error mitigation while using trigonometry

    You're right I forgot the squares. I added them below. $$\Delta h = d\tan\alpha \sqrt{\left(\frac{\Delta d}{d}\right)^2+\left(\frac{\sec(\alpha)\Delta \alpha}{\tan\alpha}\right)^2+2\frac{\Delta (d\tan\alpha)}{d\tan\alpha}}$$ All the procedure is taken from the Wiki link you shared. I don't see...
  11. Juanda

    I Optimization problem: Error mitigation while using trigonometry

    Thanks for the input. The procedure and result seemed valid at first glance but it's good to compare it with this approach you're showing. I have to admit the expression came out of the AI with an approximation symbol ##\approx## instead of an equal symbol ##=## but it felt strange and I...
  12. Juanda

    I Optimization problem: Error mitigation while using trigonometry

    Hello I didn't. But whenever I come up with one of these problems it keeps bouncing in my head so I spent most of the evening thinking about it. Eventually, I gave DeepSeek a shot and I was pleasantly surprised. It can be a very good professor and code assistant if you have prior knowledge on...
  13. Juanda

    I Optimization problem: Error mitigation while using trigonometry

    I like optimization problems a lot because they apply math to make the right decisions. However, I often come up with problems that are too hard for me to solve. Hopefully, this one will be simple but interesting enough for someone here to help me to crack it. Imagine there is a building or...
  14. Juanda

    Fastened joint - Preload scatter - Bossard calculator

    I'm still exploring this. I did the calculations myself following the ECSS-E-HB-32-23A while simplifying some steps and defining targets slightly differently but I got results very similar to the Bossard calculator for the low friction case. The high friction one differs significantly only on...
  15. Juanda

    Fastened joint - Preload scatter - Bossard calculator

    Fastened joints are subject to scatter. It's impossible to get exactly the same value every time. This is especially relevant when using methods that rely on friction such as torque wrenches. The scatter is a combination of the possible differences in friction and the precision of the tool...
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