Modeling and Parameter Estimation for an Imperfectly Clamped Plate
An important consideration in the modeling of structural and structural acoustic systems involves the determination of appropriate boundary conditions for the vibrating structure. In many applications, the clamped nature of the structure leads to the use of clamped or fixed boundary conditions, in which case, it is assumed that zero displacements and slopes are maintained at the boundaries. For example, this can be an appropriate assumption when using shell equations to model a fuselage, plate equations to model panels in a transformer or beam equations to model a helicopter blade. In the first case, the experimental shell structures are often supported by heavy clamps at the ends, thus leading to the use of fixed boundary conditions. In a similar manner, the bonding of panels to an underlying substructure or the attachment of the blades to a central hub lead to models which involve fixed boundary conditions.
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