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Mode shapes of circular disc 

Mode shapes of circular disc 

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Dynamical properties of circular discs are investigated in this paper. One of the techniques of the disc modifications to achieve the required dynamic properties is to initiate pre-stress in disc plane. To obtain appropriate in-plane stress either roll-tensioning of disc surface or volume transformation of disc segment can be used. The role of in-p...

Context in source publication

Context 1
... solution of the eigenvalue problem (5) for free vibration of circular disc (Fig. 1) consists of the natural frequencies and the corresponding mode shapes. The individual mode shapes are represented by nodal lines and nodal circles and each mode shape is described by number of nodal circles/number of nodal lines. Nodal circles and nodal lines are sets of points of disc with zero deflection. The first four mode shapes of circular disc are plotted on Fig. 2 (black areas are parts of disc with zero ...

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