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he principal concerned in this paper is the finite Hankel integral transform method for solving the symmetrical free vibration problem of rectangular thin plate. The considered plate has two opposite simply supported edges and the others are partially simply supported mixed with free. Based on the Levy -plate solution, the mixed boundary conditions between the simple and free supports on the same side of the plate can be written as dual -series equations. However, with the advantages of thedoi:10.1016/j.proeng.2011.07.368 fatcat:y3a25jbsrjagviqzb6i7krsete