전단변형을 받는 비대칭 박벽 보-기둥 요소의 엄밀한 동적강도행렬 = Exact Dynamic Element Stiffness Matrices of Shear Deformable Nonsymmetric Thin-walled Beam-Columns

다국어 초록 (Multilingual Abstract)

Derivation procedures of exact dynamic stiffness matrices of thin-walled curved beams subjected to axial forces are rigorously presented for the spatial free vibration analysis. An exact dynamic stiffness matrix is established from governing equations for a uniform curved beam element with nonsymmetric thin-walled cross section. Firstly this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using element force-displacement relationships. The natural frequencies of the nonsymmetric thin-walled curved beam are evaluated and compared with analytical solutions or results by ABAQUS"s shell elements in order to demonstrate the validity of this study.

목차 (Table of Contents)

• ABSTRACT
• 1. 서론
• 2. 비대칭 박벽보의 운동방정식과 힘-변위 관계식
• 3. 박벽보의 동적 요소강도행렬(dynamic element stiffness matrix)
• 4. 수치해석
• 5. 결론
• 참고문헌