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Find the first 3 natural frequency of a thin rectangular plate with arbitarily varying non homogenuity...

Find the first 3 natural frequency of a thin rectangular plate with arbitarily varying non homogenuity alon two concurrent edges.

Engineering   Mechanical-Engineering   
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Answer #1

Here the given rectangular plate is non homogenuity along two concurrent edges.

so,the 3 natural frequency happened in the plate may be vary at diferent point.

The natural frequency formula for thin plate are  .

so here 1,longitudinal vibration, 2,transverse vibration 3,twisting vibration happend.

these frequency vibration of longitudinal and transverese actes on the two point of homogenuity.

remaining twisiting vibration acted in non homogenuity due to hard postion.

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