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vibration of euler beam or plate?

I hear if Length>10*Width and Length>17*thickness then we ca use vibration Euler beam instead of viration of plate.

When can we use theory of vibration of Euler beam instead of vibration plate?

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Wenbin Yu's picture

It is an engineer's judgement. Basically, as long as the structure is slender, your example if it is made of isotropic material qualifies this, you can use beam theory to get pretty good result. However, if higher-frequenies become important, say the 10th bending mode, then you need to use plate theory or even 3D elastodynamics.

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