0
Research Papers: Design and Analysis

Improved First-Order Approximate Models of Temperature and Thermal Stresses for Online Fatigue Monitoring

[+] Author and Article Information
Hengliang Zhang

School of Power and Mechanical Engineering,
Wuhan University,
Wuhan 430072, China
e-mail: zhl8111@sina.com.cn

Danmei Xie, Jin Jiang

School of Power and Mechanical Engineering,
Wuhan University,
Wuhan 430072, China

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received May 13, 2015; final manuscript received August 24, 2016; published online September 28, 2016. Assoc. Editor: Albert E. Segall.

J. Pressure Vessel Technol 139(2), 021204 (Sep 28, 2016) (6 pages) Paper No: PVT-15-1097; doi: 10.1115/1.4034632 History: Received May 13, 2015; Revised August 24, 2016

Online monitoring of temperature and thermal stresses is an important way to ensure the safety of power plants considering fatigue and creep damages. The effect of online monitoring is determined by the accuracy and calculating time of monitoring models. In this paper, the improved first-order analytical models of temperature and thermal stresses considering temperature-dependent material properties have been derived by using homotopy analysis method (HAM) and superposition principle. The optimal convergence control parameters are obtained by calculating the mean-square residual errors. The validity and accuracy of the proposed models were proved by results comparisons with finite element method (FEM) and artificial parameter method.

FIGURES IN THIS ARTICLE
<>
Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Payten, W. M. , Snowden, K. U. , and Bendeich, P. , 2010, “ The Use of a Simplified Analytical Expression for Metastable Thermal Stress Analysis and Its Application to Creep-Fatigue Damage of a 2.25Cr1Mo Thick Walled Component,” Int. J. Fatigue, 32(2), pp. 368–375. [CrossRef]
Farragher, T. P. , Scully, S. , O'Dowd, N. P. , and Leen, S. B. , 2013, “ Development of Life Assessment Procedures for Power Plant Headers Operated Under Flexible Loading Scenarios,” Int. J. Fatigue, 49, pp. 50–61. [CrossRef]
Benato, A. , Stoppato, A. , and Bracco, S. , 2014, “ Combined Cycle Power Plants: A Comparison Between Two Different Dynamic Models to Evaluate Transient Behaviour and Residual Life,” Energy Convers. Manage., 87, pp. 1269–1280. [CrossRef]
Zucca, S. , Botto, D. , and Gola, M. M. , 2004, “ Faster On-Line Calculation of Thermal Stresses by Time Integration,” Int. J. Pressure Vessels Piping, 81(5), pp. 393–399. [CrossRef]
Zhang, H. , 2015, “ Online Thermal Monitoring Models for Induction Machines,” IEEE Trans. Energy Convers., 30(4), pp. 1279–1287. [CrossRef]
Mukhopadhyay, N. K. , Dutta, B. K. , and Kushwaha, H. S. , 2001, “ On-Line Fatigue–Creep Monitoring System for High-Temperature Components of Power Plants,” Int. J. Fatigue, 23(6), pp. 549–560. [CrossRef]
Zhang, H. , Nie, C. , Xiong, Y. , Xie, D. , and Yu, Y. , 2012, “ Approximate Analytical Models of Temperature and Thermal Stresses for 2D Axis-Symmetry Object With Temperature-Dependent Properties,” Int. J. Therm. Sci., 53, pp. 100–107. [CrossRef]
Koo, G. H. , Kwon, J. J. , and Kim, W. , 2009, “ Green's Function Method With Consideration of Temperature Dependent Material Properties for Fatigue Monitoring of Nuclear Power Plants,” Int. J. Pressure Vessels Piping, 86(2–3), pp. 187–195. [CrossRef]
Fernandes, A. P. , Sousa, P. F. B. , Borges, V. L. , and Guimaraes, G. , 2010, “ Use of 3D-Transient Analytical Solution Based on Green's Function to Reduce Computational Time in Inverse Heat Conduction Problems,” Appl. Math. Modell., 34(12), pp. 4040–4049. [CrossRef]
Zhang, H. , Xiong, Y. , Nie, C. , Xie, D. , and Sun, K. , 2012, “ A Methodology for Online Fatigue Monitoring With Consideration of Temperature-Dependent Material Properties Using Artificial Parameter Method,” ASME J. Pressure Vessel Technol., 134(1), p. 011201. [CrossRef]
Odibat, Z. M. , 2010, “ A Study on the Convergence of Homotopy Analysis Method,” Appl. Math. Comput., 217(2), pp. 782–789.
Liao, S. J. , and Tan, Y. , 2007, “ A General Approach to Obtain Series Solutions of Nonlinear Differential Equations,” Stud. Appl. Math., 119(4), pp. 297–355. [CrossRef]
Liao, S. J. , 1997, “ A Kind of Approximate Solution Technique Which Does Not Depend Upon Small Parameters (II): An Application in Fluid Mechanics,” Int. J. Non-Linear Mech., 32(5), pp. 815–22. [CrossRef]
Liao, S. J. , 2010, “ An Optimal Homotopy-Analysis Approach for Strongly Nonlinear Differential Equations,” Commun. Nonlinear Sci. Numer. Simul., 15(8), pp. 2003–2016. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Geometry and boundary conditions of the cylinder

Grahic Jump Location
Fig. 2

Temperature errors calculated by the method presented with different values of convergence control parameter h1 for 1 °C/min

Grahic Jump Location
Fig. 3

Mean square errors of temperature with different values of convergence control parameter h1 for 1 °C/min

Grahic Jump Location
Fig. 4

Axial thermal stresses calculated by FEM and the method presented with different values of convergence control parameter h2 for 1 °C/min

Grahic Jump Location
Fig. 5

Tangential thermal stresses calculated by FEM and the method presented with different values of convergence control parameter h2 for 1 °C/min

Grahic Jump Location
Fig. 6

Mean square errors of thermal stress with different values of h2 for 1 °C/min

Grahic Jump Location
Fig. 7

Mean square errors of temperature with different values of convergence control parameter h1 for 2 °C/min

Grahic Jump Location
Fig. 8

Mean square errors of thermal stresses with different values of convergence control parameters h2 for 2 °C/min

Grahic Jump Location
Fig. 9

Average value of mean square errors of temperature with different values of h1 and boundary temperature rising rates

Grahic Jump Location
Fig. 10

Average value of mean square errors of thermal stresses with different values of h2 and boundary temperature rising rates

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In