Thin Plates

The natural frequencies and mode shapesBeams, Euler-Bernoullimode shape of thin rectangular andPlatescircular circular platesPlate are obtained for a wide variety of boundary conditions. Plates that have constantSingle degree-of-freedom systemconstant force in-planePlate, in-plane forces, are resting on elastic foundationsBeams, Euler-Bernoullielastic foundation, and are carrying a concentrated massBeams, Euler-Bernoulliconcentrated mass are also considered. The responses ofPlatescircular circular platesPlate to externally applied forces are determined and the natural frequencies of aCircular platesPlates solid circular platePlatescircular in contact with a fluid are obtained.