Title :
Free vibration of magneto-electro-elastic circular cylinder with two simply supported ends
Author :
Wang, Yun ; Xu, Rong-qiao ; Ding, Hao-jiang
Author_Institution :
Sch. of Mech. Eng., Hangzhou Dianzi Univ., Hangzhou, China
Abstract :
Based on the general solution of transversely isotropic magneto-electro-elasticity in cylindrical coordinates, this paper gives an three-dimensionally exact solution for the free vibration of circular cylinder with two simply supported ends. The two displacement functions in the general solution are expanded in terms of trigonometric functions in the circumferential and axial directions. Then the original three-dimensional problem becomes one-dimensional and is solved readily. The solution satisfies the governing equations and boundary conditions at every point and is three-dimensionally exact. The proposed method can also be extended to circular cylindrical panels.
Keywords :
magnetoelastic effects; magnetoelectric effects; shapes (structures); vibrations; circular cylindrical panel; displacement functions; free vibration; magnetoelectroelastic circular cylinder; simply supported ends; transversely isotropic magnetoelectroelasticity; trigonometric functions; Boundary conditions; Civil engineering; Engine cylinders; Equations; Mechanical engineering; Vibrations; Magneto-electro-elasticity; circular cylinder; free vibration;
Conference_Titel :
Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA) and 2009 China Symposium on Frequency Control Technology, Joint Conference of the 2009 Symposium on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4950-7
DOI :
10.1109/SPAWDA.2009.5428919
