Stress analysis and applicability analysis of the elliptical head

AbstractAs the main pressure components of pressure vessels, the mechanical performance of cylinders and heads affects the normal operation of pressure vessels. At present, no unified theoretical formula exists for the connection region between an elliptical head and the cylinder. Therefore, the authors consider the standard elliptical head as the research object. First, the theoretical stress calculation formula is deduced according to the deformation continuity equation. Second, the stress is experimentally measured using an internal-pressure thin-walled-vessel stress measurement device, and the theoretical and experimental stress values in the discontinuous region between the elliptical head and cylinder are analysed and compared to verify the accuracy and applicability of the theoretical stress calculation formula. The results show that the theoretical stress calculation formula in the discontinuous region between the elliptical head and cylinder is valid. By comparing and analysing the theoretical and experimental stress values, the accuracy and applicability of the theoretical stress calculation formula in the discontinuous region are verified. The findings can provide guidance for the stress measurement of internal-pressure vessels.

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Stress Analysis And Applicability Analysis of Elliptical Head

10.21203/rs.3.rs-778123/v1 ◽

2021 ◽

Author(s):

Zhanhui WANG ◽

Zhifang ZHANG ◽

Jinzhong Chen ◽

Jinjun Bai

Keyword(s):

Internal Pressure ◽

Stress Measurement ◽

Circumferential Stress ◽

Pressure Vessels ◽

Theoretical Formula ◽

Calculation Formula ◽

Experimental Stress ◽

Stress Calculation ◽

Change Trend ◽

Theoretical Stress

Abstract In view of the phenomenon that there is no uniform theoretical formula for the connection area between the elliptical head and the cylinder, the author takes the standard elliptical head as the research object. Firstly, the theoretical stress calculation formula of the elliptical head and the discontinuous area of the cylinder is derived according to the deformation continuity equation. Secondly, the experimental stress is measured by means of the internal pressure thin-walled vessel stress measuring apparatus, The theoretical stress and experimental stress in discontinuous region are analyzed and compared to verify the accuracy and applicability of the formula for calculating the theoretical stress of the elliptical head and the cylinder discontinuity region. The results show that the theoretical stress calculation formula of discontinuous region of elliptical head is obtained according to the equation of deformation continuity, edge force and edge moment, internal force and internal moment; The internal pressure load is kept unchanged, and for the theoretical longitudinal stress, the constant stress is greater than 0, which is the tensile stress, and decreases gradually from the vertex to the equator; For the theoretical circumferential stress, the change trend is more complex, which can be divided into three stages, and there is pressure stress. At the vertex, the magnitude of the meridional stress and the circumferential stress is approximately equal; The change of the change from point 8 to point 10 is affected by discontinuous stress, and the change trend is abrupt; The theoretical stress and experimental stress in discontinuous region of elliptical head are analyzed and compared, and the accuracy and applicability of the formula are verified. The results are of great significance for the stress measurement of internal pressure vessels.

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The Method of Design by Analysis for Cylindrical Pressure Vessels with Spherically Dished Head

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.795.262 ◽

2019 ◽

Vol 795 ◽

pp. 262-267

Author(s):

Zhen Yu Wang ◽

Jian Wu ◽

Ming De Xue ◽

Shi Yu Li

Keyword(s):

Internal Pressure ◽

Shell Theory ◽

Pressure Vessels ◽

Design Criteria ◽

Analysis Method ◽

Perfectly Plastic ◽

Elastic Perfectly Plastic ◽

Nonlinear Elastic ◽

Theoretical Stress ◽

Thin Shell Theory

Standards GB 150.3-2011 and JB4732-1995 (Confirmed in 2005) provide design methods for the cylindrical pressure vessels with spherically dished head under internal pressure. It is available for the ratio of the internal pressure p to the allowable stress Sm, p/Sm≥0.002. Engineers desire the design curves for p/Sm<0.002. This paper presents a stress analysis method based on elastic thin shell theory for a spherically dished head jointed to the end or the middle of the cylindrical shell. The design criteria in the current standards are modified. Based on the theoretical stress solution and design criteria, the suitable range of the design curves is extended to p/Sm≥0.001. Nonlinear elastic perfectly-plastic finite element method ensures the reliability of the design curves.

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Stress Analysis of Tire Sections

Tire Science and Technology ◽

10.2346/1.2137527 ◽

1996 ◽

Vol 24 (4) ◽

pp. 349-366 ◽

Cited By ~ 4

Author(s):

T-M. Wang ◽

I. M. Daniel ◽

K. Huang

Keyword(s):

Finite Element ◽

Internal Pressure ◽

Stress Analysis ◽

Strain Analysis ◽

Experimental Stress ◽

Inflation Pressure ◽

Substantial Agreement ◽

Finite Element Stress Analysis ◽

Strain Components ◽

Fringe Patterns

Abstract An experimental stress-strain analysis by means of the Moiré method was conducted in the area of the tread and belt regions of tire sections. A special loading fixture was designed to support the tire section and load it in a manner simulating service loading and allowing for Moiré measurements. The specimen was loaded by imposing a uniform fixed deflection on the tread surface and increasing the internal pressure in steps. Moiré fringe patterns were recorded and analyzed to obtain strain components at various locations of interest. Maximum strains in the range of 1–7% were determined for an effective inflation pressure of 690 kPa (100 psi). These results were in substantial agreement with results obtained by a finite element stress analysis.

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Very thin torispherical pressure vessel ends under internal pressure: Test procedure and typical results

The Journal of Strain Analysis for Engineering Design ◽

10.1243/03093247v163171 ◽

1981 ◽

Vol 16 (3) ◽

pp. 171-186 ◽

Cited By ~ 14

Author(s):

P Stanley ◽

T D Campbell

Keyword(s):

Stainless Steel ◽

Internal Pressure ◽

Elastic Stress ◽

Test Procedure ◽

Pressure Vessels ◽

Time Dependent ◽

Test Installation ◽

Stress Indices ◽

Pressure Test ◽

Strain Data

Very thin cylindrical pressure vessels with torispherical end-closures have been tested under internal pressure until buckles developed in the knuckles of the ends. These were prototype vessels in an austenitic stainless steel. The preparation of the ends and the closed test vessels is outlined, and the instrumentation, test installation, and test procedure are described. Results are given and discussed for three typical ends (diameters 54, 81, and 108in.; thickness to diameter ratios 0.00237, 0.00158, and 0.00119). These include measured thickness and curvature distributions, strain data and the derived elastic stress indices, and pole deflection measurements. Some details of the observed time-dependent plasticity (or ‘cold creep’) are given. Details of two types of buckle that developed eventually in the vessel ends are also reported.

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Theoretical Stress Calculation and Experimental Results of "NCF-type Compliant-Bumped COG"

2007 9th Electronics Packaging Technology Conference ◽

10.1109/eptc.2007.4469816 ◽

2007 ◽

Cited By ~ 1

Author(s):

Ming-Yao Chen ◽

Chao-Chyun An ◽

Shyh-Ming Chang ◽

Kuo-Shu Kao ◽

Jimmy Tsang ◽

...

Keyword(s):

Experimental Results ◽

Stress Calculation ◽

Theoretical Stress

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A Noncyclic Method for Determination of Accumulated Strain in Stainless Steel 304 Pressure Vessels

Journal of Pressure Vessel Technology ◽

10.1115/1.4026940 ◽

2014 ◽

Vol 136 (6) ◽

Author(s):

Gongfeng Jiang ◽

Gang Chen ◽

Liang Sun ◽

Yiliang Zhang ◽

Xiaoliang Jia ◽

...

Keyword(s):

Stainless Steel ◽

Internal Pressure ◽

Pressure Vessel ◽

Peak Stress ◽

Pressure Vessels ◽

Experimental Results ◽

Elastic Domain ◽

Ratcheting Strain ◽

Stainless Steel 304 ◽

Accumulated Strain

Experimental results of uniaxial ratcheting tests for stainless steel 304 (SS304) under stress-controlled condition at room temperature showed that the elastic domain defined in this paper expands with accumulation of plastic strain. Both ratcheting strain and viscoplastic strain rates reduce with the increase of elastic domain, and the total strain will be saturated finally. If the saturated strain and corresponded peak stress of different experimental results under the stress ratio R ≥ 0 are plotted, a curve demonstrating the material shakedown states of SS304 can be constituted. Using this curve, the accumulated strain in a pressure vessel subjected to cyclic internal pressure can be determined by only an elastic-plastic analysis, and without the cycle-by-cycle analysis. Meanwhile, a physical experiment of a thin-walled pressure vessel subjected to cyclic internal pressure has been carried out to verify the feasibility and effectiveness of this noncyclic method. By comparison, the accumulated strains evaluated by the noncyclic method agreed well with those obtained from the experiments. The noncyclic method is simpler and more practical than the cycle-by-cycle method for engineering design.

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Failure probability analysis of pressure vessels that contain defects under the coupling of inertial force and internal pressure

International Journal of Pressure Vessels and Piping ◽

10.1016/j.ijpvp.2018.09.005 ◽

2018 ◽

Vol 168 ◽

pp. 59-65 ◽

Cited By ~ 5

Author(s):

Zhiyan Xiao ◽

Junping Shi ◽

Xiaoshan Cao ◽

Yong Xu ◽

Yifeng Hu

Keyword(s):

Internal Pressure ◽

Failure Probability ◽

Inertial Force ◽

Pressure Vessels ◽

Probability Analysis

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A Single Technically Consistent Design Formula for the Thickness of Cylindrical Sections Under Internal Pressure

Journal of Pressure Vessel Technology ◽

10.1115/1.2389035 ◽

2006 ◽

Vol 129 (1) ◽

pp. 211-215 ◽

Cited By ~ 2

Author(s):

John D. Fishburn

Keyword(s):

Experimental Data ◽

Internal Pressure ◽

State Of The Art ◽

Original Data ◽

Pressure Vessels ◽

Time Dependent ◽

Design Codes ◽

Recent Developments ◽

Current Design ◽

Single Formula

Within the current design codes for boilers, piping, and pressure vessels, there are many different equations for the thickness of a cylindrical section under internal pressure. A reassessment of these various formulations, using the original data, is described together with more recent developments in the state of the art. A single formula, which can be demonstrated to retain the same design margin in both the time-dependent and time-independent regimes, is shown to give the best correlation with the experimental data and is proposed for consideration for inclusion in the design codes.

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