In this paper, we study the problem of effective engineering elastic constants of stator core lamination of water turbogenerator. The three-dimensional transformations of elastic constants of composite lamina between the principal material coordinate system and the reference coordinate system are given, then the stator core lamination is modeled as the composite laminate and by utilizing the thick laminated plate model, we determine effective engineering elastic constants of the stator core lamination. Finally, a simple example is included to demonstrate the validity of the model and the programme codes.
References
1.
LaffoonC.M., RoseB.A., Special problems of two-pole turbine generators, IEEE Transactions, 59 (1940), 30–34.
2.
PennimanA.L., and TaylorH.D., Suppression of magnetic vibration and noise of two-pole turbine generators, IEEE Transactions, 60 (1941), 283–288.
3.
RichardsonP., Stator vibration in large two-pole generator, IEEE Winter Power Meeting, (1966), 1021–1030.
4.
RichardsonP., and HawleyR., Generator stator vibration, IEEE Winter Power Meeting, (1970), 53–61.
5.
GarveyS.D., The vibrational behaviors of laminated components in electrical machines, Proc. International Conference on Electrical Machines and Drives, IEE, London, (1989), 226–231.
6.
TampionA.A., StollR.L., and SyklskiJ.K., Variation of turbogenerator stator core vibration with load, IEE Proceedings-C Generation Transmission and Distribution, 138(5) (1991), 389–400.
7.
WatambleS., KenjS., IdeK., SatoF., and YanamotoM., Natural frequencies and vibration behavior of motor stators. IEEE Trans, 102 (1996), 949–956.
8.
GarveyS.D., and GlewC.N., Magnetostrictive excitation of vibration in machines—a modal approach, Ninth International Conference on Electrical Machines and Drives, Conference Publication, 468(1999) 169–173.
9.
QingG.H., QiuJ.J., and HuY.D., Vibration analysis of large turbogenerator stator system, International Conference on Power System Technology Proceedings, 1–4, (2002), 2168–2172.
10.
WalkerJ.H., ScD. and Member etc., Pressing and clamping laminated cores, Proc. The Institution of Electrical Engineers, Power IEE, 111(3) (1964), 565–577.
11.
EdmondsJ., DaneshpoovA., MurrayS.J., and SireR.A., Turbogenerator stator core study, 2007 IEEE International Symposium on Diagnostics for Electric Machines, Power Electronics & Drives, (2007), 108–113.
12.
WangY.X., WangY., QuH.F., and LiuX., Dynamic design and simulation analysis of 1000MW large turbogenerator, 2009 IEEE International Conference on Mechatronics and Automation, Conference Proceedings, 1–7 (2009), 1650–1655.
13.
FujitaM., TokumasuT., YodaH., TsudaH., ItoK., and NaqanoS., Magnetic field analysis of stator core end region of large turbogenerators, IEEE Transactions on Magnetics, 36(4) (2000), 1850–1853.
14.
ChechurinV., Kadi-OglyI., RoytgartsM., and VarlamovY., Computation of electromagnetic field in the end zone of loaded turbogenerator, IEEE International Electric Machines and Drives Conference, 1–3 (2003), 419–425.
15.
LiJ.X., SunY.T., and YangG.J., Calculation and analysis of 3D magnetic field for end region of large turbogenerators, Proceedings of the Eighth International Conference on Electrical machines and Systems, 1–3 (2005), 2079–2082.
16.
RoytgartsM., VarlamovY., and SmirnovA., Electromagnetic computations in the end zone of power turbogenerator, Advanced Computer Techniques in Applied Electromagnetics, 30 (2008), 324–331.
17.
PostnkovV.I., Multilayer modeling of composite stator core structures in large turbogenerators, International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 13(1) (1994), 133–136.
18.
EnieR.B., and RizzoR.R., Three-dimensional laminate moduli, Journal of Composite Materials, 4(1) (1970), 150–154
19.
ChouP.C., and CarleoneJ., Elastic constants of layered media, Journal of Composite Materials, 6 (1972), 80–93.
20.
PaganoG.W., Exact moduli of anisotropic laminates, Mechanics of Composite Materials, SendechyjG. P., Ed., Academic Press, 2 (1974), 23–45.
21.
SunC.T., and LiS., Three-dimensional effective elastic constants for thick laminates, Journal of Composite Materials, 22(7) (1988), 629–639.
22.
ChristensenR.M., and ZywiczE., Three-dimensional constitutive theory for fiber composite laminated media, Journal of Applied Mechanics, Trans. of ASME, 57 (1990), 948–955.
23.
RoyA.K., and TsaiS.W., Three-dimensional effective moduli of orthotropic and symmetric laminates, Journal of Applied Mechanics, Trans. of ASME, 59 (1992), 39–47.
24.
GudmundsonP., and OstlundS., Numerical verification of a procedure for calculation of elastic constants in microcracking composite laminates, Journal of Composite Materials, 26(17) (1992), 2480–2492.
25.
StijnmanP.W.A., Determination of the elastic constants of some composites by using ultrasonic velocity measurements, Composites, 26(8) (1995), 597–604.
26.
ChenH.J., and TsaiS.W., Three-dimensional effective moduli of symmetric laminates, Journal of Composite Materials, 30(8) (1996), 906–917.
27.
HamedA.F., MegatM.H., SapuanS.M., and SahariB.B., Theoretical analysis for calculation of the through thickness effective constants for orthotropic thick filament wound tubes, Polymer-Plastics Technology and Engineering, 47(10) (2008), 1008–1015.
28.
PostmaG.W., Wave propagation in a stratified medium, Geophysics, 20 (1955), 780–806.
29.
SunC.T., AchenbachJ.D., and HerrmannG., Continuum theory for a laminated medium, Journal of Applied Mechanics, Trans. of ASME, 35 (1968), 467–475.