WASET
	%0 Journal Article
	%A Mansour Nikkhah-Bahrami and  Masih Loghmani and  Mostafa Pooyanfar
	%D 2008
	%J International Journal of Mechanical and Mechatronics Engineering
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 17, 2008
	%T A New Analytical Approach for Free Vibration of Membrane from Wave Standpoint
	%U https://publications.waset.org/pdf/6284
	%V 17
	%X In this paper, an analytical approach for free vibration
analysis of rectangular and circular membranes is presented. The
method is based on wave approach. From wave standpoint vibration
propagate, reflect and transmit in a structure. Firstly, the propagation
and reflection matrices for rectangular and circular membranes are
derived. Then, these matrices are combined to provide a concise and
systematic approach to free vibration analysis of membranes.
Subsequently, the eigenvalue problem for free vibration of membrane
is formulated and the equation of membrane natural frequencies is
constructed. Finally, the effectiveness of the approach is shown by
comparison of the results with existing classical solution.
	%P 662 - 665