A multi-mesh MPM for simulating the meshing process of spur gears

Computers and Structures

Volumn 81, Issue 20, 2003, Pages 1991-2002

  Hu, W ^a   Chen, Z ^a  

^a University of Missouri   (United States)

Author keywords

Conjugate action; Contact sliding separation; Material point method; Multi mesh; Spur gears; Structural dynamics

Indexed keywords

COMPUTER SIMULATION; MATERIALS SCIENCE; STRUCTURAL ANALYSIS; TORQUE;

SPUR GEARS;

GEARS;

EID: 0037716272     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(03)00260-8     Document Type: Article

References (21)

1. Lewis W. Investigation of the strength of gear teeth. In: Proceedings of Engineers' Club, Philadelphia, PA. 1893. p. 16-23.
2. Buckingham E. Analytical mechanics of gears. 1949;McGraw-Hill, New York.
3. Wallace D.B., Seireg A. Computer simulation of dynamic stress, deformation and fracture of gear teeth. J. Eng. Industry, Trans. ASME. 95:1973;1108-1114.
4. Ramamurti V., Rao M.A. Dynamic analysis of spur gear teeth. Comput. Struct. 29(5):1988;831-843.
5. Vijayarangan S., Ganesan N. A study of dynamic stresses in a spur gear under a moving line load and impact load conditions by a three-dimensional finite element method. J. Sound Vib. 162(1):1993;185-189.
6. Sfakiotakis V.G., Vaitsis J.P., Anifantis N.K. Numerical simulation of conjugate spur gear action. Comput. Struct. 79:2001;1153-1160.
7. Bathe K.J. Finite element procedure. 1996;Prentice-Hall, Upper Saddle River, NJ.
8. Bathe K.J., Bouzinov P.A. On the constraint function method for contact problems. Comput. Struct. 64(5/6):1997;1069-1085.
9. Refaat M.H., Meguid S.A. On the contact stress analysis of spur gears using variational inequalities. Comput. Struct. 57:1995;871-882.
10. LSTC, LS-DYNA Theoretical Manual, Livermore Software Technology Corporation, May 1998.
11. Taylor LM, Flanagan DP. PRONTO 2D: a two-dimensional transient solid dynamics program. Sandia National Laboratories, SAND86-0594, 1987.
12. Ortiz M., Quigley J.J.I.V. Adaptive mesh refinement in strain localization problems. Comput. Meth. Appl. Mech. Eng. 90:1991;781-804.
13. El-Abbasi N., Bathe K.J. Stability and patch test performance of contact discretizations and a new solution algorithm. Comput. Struct. 79:2001;1473-1486.
14. Chen Z., Hu W., Shen L., Xin X., Brannon R. An evaluation of the MPM for simulating dynamic failure with damage diffusion. Eng. Fract. Mech. 69:2002;1873-1890.
15. Sulsky D., Chen Z., Schreyer H.L. A particle method for history-dependent materials. Comput. Meth. Appl. Mech. Eng. 118:1994;179-196.
16. Sulsky D., Zhou S.J., Schreyer H.L. Application of a particle-in-cell method to solid mechanics. Comput. Phys. Commun. 87:1995;236-252.
17. Bardenhagen S.G., Brackbill J.U., Sulsky D. The material-point method for granular materials. Comput. Meth. Appl. Mech. Eng. 187:2000;529-541.
18. Zhou S.J., Stormont J., Chen Z. Simulation of geomembrane response to settlement in landfills by using the material point method. Int. J. Numer. Anal. Meth. Geomech. 23:1999;1977-1994.
19. Norton R.L. Machine design: an integrated approach. 1996;Prentice-Hall, Upper Saddle River, NJ.
20. Xin X, Chen Z, Zhou SJ. Mesh generation of gear meshing with the material point method, submitted for publication.
21. Khiralla TW. On the geometry of external involute spur gears. North Hollywood, CA, 1976.