Questions tagged [euler]

I'm looking for established limits or rules of thumb for the validity/accuracy of Euler-Bernoulli beam equations for particularly wide "beams". For example, a simply supported rectangular plate where the breadth(b) is much larger than the height (h)…

Euler turbomachinery equation doesn't include a term for changes in flow area. But, an centrifugal impeller (not the volute) has increasing flow area along the path of the flow. Is the pressure actually constant along the path of the flow, and if…

If K = q1^2 + q2^2 + q3^2 + q4^2 and K0 = q1^2 + q2^2 + q3^2 + q4^2 = 0 + 0 + 0 + 1 = 1, how to plot K-K0 vs time graph. K is the quaternion constraint equations where the quaternions are changing with time. K0 is K at initial time. What equations…

I'm having difficult understanding the issue with gimbal lock, namely why so many diagrams show an aircraft in apparent gimbal lock unable to turn about an axis conventionally, using yaw/pitch/roll. For example, below are some diagrams depicting a…