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Transverse Vibration Analysis of an Axially-Loaded Euler-Bernoulli Beam (Continuous System)

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Good Vibrations with Freeball

Good Vibrations with Freeball

Күн бұрын

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Deriving the equation of motion and for an Euler-Bernoulli beam and solving for the response.
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Transverse Vibration of a String:
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Transverse Vibration Analysis of an Euler-Bernoulli Beam:
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Пікірлер: 11
@Lalallalala35
@Lalallalala35 6 ай бұрын
Thank you kind sir
@moaqirahmad5948
@moaqirahmad5948 3 жыл бұрын
thank you very much.. very useful... keep it up
3 жыл бұрын
Man, thanks!!
@aminamiripour6583
@aminamiripour6583 2 жыл бұрын
Thank you so much for your useful lectures. I just didn't understand 1 thing : Why didn't you put (p + dp)sin(theta).dx in the Momentum Equation? I mean, it is a force which you put it in the Newton's law Equation But you didn't consider its Momentum on point 0.
@franzwurst6329
@franzwurst6329 2 жыл бұрын
I did ask myself the exact same thing. Does anybody know the answer?
@pmanikantabalaji4476
@pmanikantabalaji4476 2 жыл бұрын
I guess, youll get that by truncating taylor series expansion for differential element
@soroushasadian9100
@soroushasadian9100 Жыл бұрын
@@franzwurst6329 Axial forces cross from point O; therefore, there won't be any moment caused by force P and P+dP. The figure shown above might cause a misunderstanding.
@franzwurst6329
@franzwurst6329 Жыл бұрын
@@soroushasadian9100 i don't think so.... The figure shown should be fine
@franzwurst6329
@franzwurst6329 Жыл бұрын
@@pmanikantabalaji4476 thank's 👍 your suggestion lead me on the correct path. By taylor series expansion and neglecting higher order terms you'll see that the axial force does not contribute to the moment balance (limited to small displacements)
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