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최명수,Takahiro Kondou,최희종 대한기계학회 2015 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.29 No.7
We developed a computational method for effectively conducting the free vibration analysis of axisymmetric shells with variousshapes. This paper describes a computational algorithm for the free vibration analysis of axisymmetric shells using the Sylvester-transferstiffness coefficient method (S-TSCM). From the free vibration analyses of three axisymmetric shells (joined conical-cylindrical shell,hermetic capsule and built-up shell), we verified the applicability of the S-TSCM. We then confirmed that the computational power ofthe S-TSCM is much better than both the finite element-transfer matrix method and finite element-transfer stiffness coefficient method,in terms of computational accuracy and time. In particular, when axisymmetric shells are modeled into a large number of conical shellelements, the S-TSCM is superior to both the bisection method using Sturm sequence property and Jacobi method, in terms of computationaltime and storage.
최명수,Takahiro Kondou,Yasuhiro Bonkobara 대한기계학회 2012 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.26 No.1
A new free vibration analysis method, which is called the Sylvester-transfer stiffness coefficient method (S-TSCM), is developed by combining Sylvester’s inertia theorem and the transfer stiffness coefficient method. In this paper, the free vibration analysis algorithm of a straight-line beam structure is formulated by S-TSCM. From the computation results of the free vibration analysis for the three types of beam structures, we confirm that S-TSCM is a very effective method. In particular, S-TSCM is superior to both the transfer stiffness coefficient method and the transfer matrix method in terms of computational accuracy and time. In the free vibration analysis for the beam structure with a large number of degrees-of-freedom, S-TSCM is superior to the finite element method in terms of computational time and storage.