[논문]압축하중을 받는 원통실린더의 후좌굴 거동 및 좌굴강도

구본국

doi:10.7837/kosomes.2018.24.2.260

초록
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곡률을 갖고 있는 쉘 부재들은 선박 및 육상구조 내에서 캠버와 선수, 선미, 파이프 및 저장용 탱크에 주로 사용되고 있다. 이러한 곡률 쉘 부재들은 기본적으로 원통형 실린더 부재의 일부라고 간주할 수 있다. 일반적으로 곡률의 존재는 압축하중 작용 시 좌굴강도 및 최종강도를 증가시키는 것으로 알려져 있다. 본 논문에서는 이러한 영향을 확인하기 위하여 탄성대변형 시리즈해석을 수행하였으며, 매개변수의 영향을 분석하였다. 실린더의 최종강도 거동은 초기처짐과 해석모델링 방법에 큰 영향을 받는 것을 확인하였다.

Abstract ▼ AI-Helper

Cylindrical shells are often used in the construction of ship and land-based structures such as deck plating with a camber, side shell plating for fore and aft part pipes, as well as storage tanks. It has been believed that such curved shells can be modeled fundamentally as a part of the cylinder un...

Cylindrical shells are often used in the construction of ship and land-based structures such as deck plating with a camber, side shell plating for fore and aft part pipes, as well as storage tanks. It has been believed that such curved shells can be modeled fundamentally as a part of the cylinder under axial compression. From the estimations made based on cylindrical models, it is known that in general, curvature increases the buckling strength of a curved shell when subjected to axial compression, and the same curvature is also expected to increase the overall strength. A series of elastic large deflection analyses were conducted in order to clarify the fundamentals observed in the buckling and post-buckling behaviour of circular cylinders under axial compression. In the present paper, an FE-series analysis has been performed based on the elastic large deflection behaviour, and the effect of parameters has been clarified. The ultimate strength behavior of the circular cylinder was found to be significantly influenced by both the initial deflection and the FE-modeling method.

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가설 설정

(2) The buckling strength of a cylindrical shell under axial compression is sensitive to geometrical initial imperfection.
(3) The effect of aspect ratio has little influence on the buckling strength of cylindrical shell.

제안 방법

In order to verify the calculation of this study, the load carrying capacity calculations for the curved plates subjected to compressive loading were compared using two programs (ANSYS and ULSAS (Yao et al., 1998)). The thickness of the plate is taken as 15 mm.
Wagner and Hühne (2018) studied the affects that led to new improved knockdown factors for the design of cylindrical shells under axial compression. The corresponding design methods were derived by means of three step procedures involving deterministic methods for the buckling load prediction, modern experimental results and an extensive probabilistic analysis. The new design procedure was demonstrated by means of a full-scale primary launch-vehicle shell and the results show an estimated weight reduction of about 20 %.
The preparatory calculations were conducted to determine the level of mesh refinement required modeling to ensure convergence for a cylinder both L/R=1.0 and L/R=3.0, plate thickness t=5 mm and radius of the cylinder fixed 1,000 mm and cylinder height (L) adopted 1,000 and 3,000 mm separately. Figure 3 shows relationships of elastic buckling stress and division number of elements for the circumferential direction of the circular cylinder varying the change the mesh sizes

이론/모형

The type of constitutive law is adopted to model the behaviour of steel; bilinear isotropic hardening. The Bilinear Isotropic Hardening options uses von Mises yield criteria (which includes most ductile metals) coupled with an isotropic work hardening assumption. This option is often preferred for large strain analyses.
In practical designs, some engineers want to know the factor of safety of the structure for a nonlinear buckling load. The numerical simulations were carried out using the general commercial finite element code ANSYS (ANSYS Inc, 2015). The shell-181element was used to model the shells.

성능/효과

In general, the possible collapse modes of the circular cylinder under axial loading are known as Euler buckling shape, Diamond buckling shape, Chess board buckling shape and Concertina buckling shape (Ring buckling shape). On the basis of the calculated results, three kinds of buckling patterns (Concertina buckling shape, Chess board buckling shape and Diamond buckling shape) can be confirmed for the circular cylinder. When the number of meshing of the length to radius ratio 1.
The corresponding design methods were derived by means of three step procedures involving deterministic methods for the buckling load prediction, modern experimental results and an extensive probabilistic analysis. The new design procedure was demonstrated by means of a full-scale primary launch-vehicle shell and the results show an estimated weight reduction of about 20 %.

참고문헌 (5)

ANSYS Inc.(2015), Technical user's manual for nonlinear analysis, Chapter 3, pp. 120-145.
Jiao, P., Z. Chen, F. Xu, X. Tang and W. Su(2018), Effects of ringed stiffener on the buckling behaviour of cylindrical shells with cutout under axial compression : Experimental and numerical investigation, Volume 123, pp. 232-243.

상세보기
Wagner, H. N. R. and C. Huhne(2018), Robust knockdown factors for the design of cylindrical shells under axial compression : potentials, practical application and reliability analysis, Volume 135, pp. 410-430.

상세보기
Wang, B., S. Zhu, P. Hao, X. Bi, K. Du, B. Chen, X. Ma and Y. J. Chao(2018), Buckling of quasi-perfect cylindrical shell under axial compression : A combined experimental and numerical investigation, Volume 130-131, pp. 232-247.

상세보기
Yao, T., J. Taby and T. Moan(1998), Ultimate strength and post-ultimate strength behaviour of damaged tubular members in offshore structures, Journal of offshore mechanical architecture engineering, Vol. 110, pp. 254-262.

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압축하중을 받는 원통실린더의 후좌굴 거동 및 좌굴강도
Post-Buckling Behaviour and Buckling Strength of the Circular Cylinder Under Axial Compression 원문보기

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압축하중을 받는 원통실린더의 후좌굴 거동 및 좌굴강도 Post-Buckling Behaviour and Buckling Strength of the Circular Cylinder Under Axial Compression 원문보기

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압축하중을 받는 원통실린더의 후좌굴 거동 및 좌굴강도
Post-Buckling Behaviour and Buckling Strength of the Circular Cylinder Under Axial Compression 원문보기

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