탄성지지를 갖는 원추형 셸의 진동특성

Vibrational Characteristics of a conical shell with Elastic Supports

This paper deals with the free vibrations of truncated conical shell with elastic supports by the transfer matrix method. The classical thin shell theory based upon the Flügge theory is assumed and the governing equations of a conical shell are written as a coupled set of first order differential equations using the transfer matrix. The Runge-Kutta-Gill integration method are used to solve the governing differential equations. The natural frequencies and corresponding mode shapes are calculated numerically for the truncated conical shell with elastic supports and various boundary conditions at the edges. And all boundary conditions and elastic supports between conical shell and foundation could be treated only by adequately varying the values of the spring constants. Numerical results show that the transfer matrix method can accurately obtain natural vibration characteristics of the conical shells with elastic supports.