The main difference between a clamped and a simply supported plate lies in the boundary conditions at the edges of the plate. A clamped plate has all of its edges fixed, while a simply supported plate has two opposite edges that are free to move.
A clamped plate is stiffer and more resistant to bending than a simply supported plate. This means that a clamped plate will experience less deflection and stress under the same load compared to a simply supported plate.
Depending on the application, a clamped plate may offer more stability and structural integrity than a simply supported plate. This is especially true in systems where precise positioning and minimal deflection are crucial.
A clamped plate can be found in structural elements such as bridges and buildings, where stability and rigidity are important. Simply supported plates are commonly used in flooring, roofs, and other structures that require some flexibility.
The boundary conditions of a plate greatly influence its natural frequencies, which are the frequencies at which the plate will vibrate without any external force. A clamped plate has higher natural frequencies compared to a simply supported plate due to its stiffer boundary conditions.