Two partially conforming flat-plate bending elements have been developed for static and dynamic analyses through the principle of virtual work.
One of these elements is triangular and the other quadrilateral and both have corner nodes only, with three degrees of freedom per node. By use of these elements in the matrix displacement method, the natural frequencies of vibration of a square cantilevered plate have been calculated; these calculated results have been compared with experimental results. Agreement has been found to be good, and in general, convergence appears to take place.
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References
1.
TocherJ. L.Analysis of plate bending using triangular elements 1962. Dissertation submitted to the University of California at Berkeley for the degree of Ph.D.
2.
CloughR. W.TocherJ. L.‘Finite element stiffness matrices for analysis of plate bending’, Proc. Conf. Matrix Meth. struct. Mech.1966, AFFDL-TR-66–80, 515–545.
3.
GuyanR. J.‘Reduction of stiffness and mass matrices’, A.I.A.A. Jl19653, 380.
4.
BartonM. W.‘Vibration of rectangular and skew cantilever plates’, J. appl. Mech., Trans. Am. Soc. mech. Engrs195173, 129–134.
