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The initial stressing schemes can be directed towards optimal increases in specific vibration modes.
In this paper a new initial stressing method is presented whereby the natural frequencies of all zero nodal circle modes increase simultaneously, thus avoiding buckling of the plate through excessive initial stress.
Current axisymmetric initial stressing schemes increase the natural frequencies of the zero nodal circle, two and higher nodal diameter vibration modes, but the zero and one nodal diameter natural frequencies decrease.
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The initial stresses are due to in-plane loads.
The calculations showed that higher initial stresses result in greater adjustment to the stress field.
The derived equations include the effects of initial stresses and initial imperfections size.
Initial stresses originate in soft materials by the occurrence of misfits in the undeformed microstructure.
In addition to the initial stresses due to centrifugal forces, the initial thermal stresses induced by temperature rise are considered.
In addition, the stress relaxation limits reach the same value for the different initial stresses at the same temperature.
Arbitrary initial stresses and initial off-axis loads are taken into account in the linearized principle of virtual works.
Effects of arc segment angles, elastic foundation, and initial stresses on the natural frequencies are investigated.
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