Difference between a clamped and a simply supported plate.

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Discussion Overview

The discussion revolves around the definitions and characteristics of clamped and simply supported plates in the context of plate vibration theory. Participants explore both conceptual and mathematical aspects of these boundary conditions.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • One participant seeks a clear definition of "clamped" and "simply supported" plates, indicating a gap in available resources.
  • Another participant suggests that a clamped plate is one with edges welded all around, while a simply supported plate is described as having a vertical rest only.
  • A further contribution clarifies that for clamped plates, both edge deflection and edge slopes are zero, akin to boundary conditions for beams with fixed ends. In contrast, a simply supported plate has zero edge deflection, but its slope can vary based on loading conditions.
  • One participant requests confirmation from the original poster if their question has been answered.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the definitions, as the original question remains partially unanswered and interpretations of the boundary conditions vary.

Contextual Notes

Definitions provided may depend on specific contexts or interpretations in plate theory, and the discussion does not resolve the nuances of these boundary conditions.

HyperSniper
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Hey, I've recently been taking a look at the theory of plate vibration, but I can't seem to find anywhere an exact definition of what consitutes a "clamped" and a "simply supported" plate. What exactly are these, conceptually and mathematically?
 
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I am not sure I have an exact definition, but a plate with "clamped" or "fixed" edges would be welded all around for example. A simple support would be a vertical rest only.
 
The boundary conditions for a clamped plate generally indicate that the edge deflection and edge slopes are both equal to zero (similar boundary conditions are used for beams with fixed ends).

A simply supported plate has edge deflection = 0, but the slope of the plate can vary depending on the loading.
 
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HyperSniper... if you got your answer please tell me...
 

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