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김경주, 장강원, 김윤영
Abstract
김경주, 장강원, 김윤영
Abstract
It is known that the standard Timoshenko beam theory is not capable of correctly predicting static and dynamic behavior of a beam when it is thin-walled. It has been shown that when it is straight or circular, a recently-developed higher-order beam theory considering warping and distortion yields correct solutions. So, one can naturally consider the use of the theory for the analysis of a thin-walled arbitrarily-curved beam. Though a set of straight beam elements is expected to model the curved beam correctly, the straightforward element interface matching as used in the Timoshenko theory turns out to yield erroneous results. This is due to the difficulties in matching warping and distortion at the element interface. After reviewing the higher-order beam theory, the technical issues related to the application of the theory for the analysis of thin-walled curved beams are presented. Though the issues remain yet unsolved, a few ideas to overcome the difficulties are discussed.
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It is known that the standard Timoshenko beam theory is not capable of correctly predicting static and dynamic behavior of a beam when it is thin-walled. It has been shown that when it is straight or circular, a recently-developed higher-order beam theory considering warping and distortion yields correct solutions. So, one can naturally consider the use of the theory for the analysis of a thin-walled arbitrarily-curved beam. Though a set of straight beam elements is expected to model the curved beam correctly, the straightforward element interface matching as used in the Timoshenko theory turns out to yield erroneous results. This is due to the difficulties in matching warping and distortion at the element interface. After reviewing the higher-order beam theory, the technical issues related to the application of the theory for the analysis of thin-walled curved beams are presented. Though the issues remain yet unsolved, a few ideas to overcome the difficulties are discussed.
Key concepts: Image warping, Timoshenko beam theory, Distortion (music), Beam (structure), Finite element method, Matching (statistics), Mathematics, Set (abstract data type)