Development of finite element analysis program and simplified formulas of bellows and shape optimization

Title & Authors
Development of finite element analysis program and simplified formulas of bellows and shape optimization
Koh, Byung-Kab; Park, Gyung-Jin;

Abstract
Bellows is a component in piping systems which absorbs mechanical deformation with flexibility. Its geometry is an axial symmetric shell which consists of two toroidal shells and one annular plate or conical shell. In order to analyze bellows, this study presents the finite element analysis using a conical frustum shell element. A finite element analysis is developed to analyze various bellows. The validity of the developed program is verified by the experimental results for axial and lateral stiffness. The formula for calculating the natural frequency of bellows is made by the simple beam theory. The formula for fatigue life is also derived by experiments. The shape optimal design problem is formulated using multiple objective optimization. The multiple objective functions are transformed to a scalar function by weighting factors. The stiffness, strength and specified stiffness are considered as the multiple objective function. The formulation has inequality constraints imposed on the fatigue limit, the natural frequencies, and the manufacturing conditions. Geometric parameters of bellows are the design variables. The recursive quadratic programming algorithm is selected to solve the problem. The results are compared to existing bellows, and the characteristics of bellows is investigated through optimal design process. The optimized shape of bellows is expected to give quite a good guideline to practical design.
Keywords
Bellows;Conical Frustum Shell Element;Multiple Optimization Method;Weighting Objective Method;
Language
Korean
Cited by
1.
변형에너지를 고려한 파형 플렉시블조인트 곡선부의 등가보 해석기법 및 실험적 검증,김진곤;

한국정밀공학회지, 2008. vol.25. 8, pp.57-64
2.
극저온까지 온도변화에 따른 질소 충전 소형 금속 벨로우즈의 변형 해석,이승하;이태원;

한국정밀공학회지, 2009. vol.26. 10, pp.81-88
References
1.
한국자동차공학회논문집, 1994. vol.3. 6, pp.96-111

2.
Bul. JSME, 1963. vol.29. 197, pp.142-158

3.
Asymptotic solutions of Elastic Shell Problem, Asymptotic solutions of Differential Equations and Their Applications, 1964.

4.
J. Appl. Mech., 1962. vol.29. 1, pp.115-123

5.
한국자동차공학회지, 1989. vol.11. 2, pp.55-65

6.
산업가학연구소논문집, 1992. vol.35. pp.247-263

7.
대한기계학회논문집, 1995. vol.19. 6, pp.2237-2246

8.
Standards of the Expansion Joint Manufacturers Association, Inc.(Sixth Edition), 1993.

9.
Transaction of the ASME, Journal of Pressure & Vessels Technology, 1984. vol.114. pp.280-291

10.
International Journal of Vehicle Design, 1996. vol.17. 3, pp.276-294

11.
IDESIGN User's Manual Version 3.5, Optimal Design Laboratory, 1986.

12.

13.
The Finite Element Method, 1977.

14.
Finite Element Programs for Structural Vibrations, 1991.

15.
Introduction to Optimum Design, 1989.

16.
Multicriterion Optimization in Engineering with FORTRAN Programs, 1984.

17.
The 6th International Pacific Conference on Automotive Engineering, 1991. vol.1. pp.401-411

18.
IUTAM Symp. on Optimization in Structural Design, 1973. pp.248-262

19.
Engineering Optimization, 1979. vol.4. pp.121-128

20.
M. Thesis, Dept. of Applied Mechanics, IIt, 1976.

21.
ANSYS Engineering Analysis System User's Manual Revision 5.0a, 1994.

22.
ASME Boiler and Pressure Vessel Code for Design by Analysis in Section III and VIII, Division 2, 1969.

23.
KSME J., 1995. vol.9. 1, pp.91-101

24.
벨로우즈가 장착된 기계시스템의 상·하향식 설계론, 1995.