Search search
Publication Date
to
Vol. 2
Latest Volume
All Volumes
PIERM 139 PIERM 138 PIERM 137 PIERM 136 PIERM 135 PIERM 134 PIERM 133 PIERM 132 PIERM 131 PIERM 130 PIERM 129 PIERM 128 PIERM 127 PIERM 126 PIERM 125 PIERM 124 PIERM 123 PIERM 122 PIERM 121 PIERM 120 PIERM 119 PIERM 118 PIERM 117 PIERM 116 PIERM 115 PIERM 114 PIERM 113 PIERM 112 PIERM 111 PIERM 110 PIERM 109 PIERM 108 PIERM 107 PIERM 106 PIERM 105 PIERM 104 PIERM 103 PIERM 102 PIERM 101 PIERM 100 PIERM 99 PIERM 98 PIERM 97 PIERM 96 PIERM 95 PIERM 94 PIERM 93 PIERM 92 PIERM 91 PIERM 90 PIERM 89 PIERM 88 PIERM 87 PIERM 86 PIERM 85 PIERM 84 PIERM 83 PIERM 82 PIERM 81 PIERM 80 PIERM 79 PIERM 78 PIERM 77 PIERM 76 PIERM 75 PIERM 74 PIERM 73 PIERM 72 PIERM 71 PIERM 70 PIERM 69 PIERM 68 PIERM 67 PIERM 66 PIERM 65 PIERM 64 PIERM 63 PIERM 62 PIERM 61 PIERM 60 PIERM 59 PIERM 58 PIERM 57 PIERM 56 PIERM 55 PIERM 54 PIERM 53 PIERM 52 PIERM 51 PIERM 50 PIERM 49 PIERM 48 PIERM 47 PIERM 46 PIERM 45 PIERM 44 PIERM 43 PIERM 42 PIERM 41 PIERM 40 PIERM 39 PIERM 38 PIERM 37 PIERM 36 PIERM 35 PIERM 34 PIERM 33 PIERM 32 PIERM 31 PIERM 30 PIERM 29 PIERM 28 PIERM 27 PIERM 26 PIERM 25 PIERM 24 PIERM 23 PIERM 22 PIERM 21 PIERM 20 PIERM 19 PIERM 18 PIERM 17 PIERM 16 PIERM 14 PIERM 13 PIERM 12 PIERM 11 PIERM 10 PIERM 9 PIERM 8 PIERM 7 PIERM 6 PIERM 5 PIERM 4 PIERM 3 PIERM 2 PIERM 1
All Journals
PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2008-04-08
Application of the Energy Balance Method for Strongly Nonlinear Oscillators
By
Mohammad Pashaei,

    Dr. Mohammad Pashaei

    Department of Mechanical Engineering

    Mazandaran University

    Iran

    Homepage

Davoodi Ganji,

    Dr. Davoodi Ganji

    Department of Mechanical Engineering

    Babol Noshiravani University of Technology

    Iran

    Homepage

Mehdi Akbarzade

    Dr. Mehdi Akbarzade

    Department of Mechanical Engineering

    Mazandaran University

    Iran

    Homepage

Progress In Electromagnetics Research M, Vol. 2, 47-56, 2008
doi:10.2528/PIERM08031602 | Google Scholar

Abstract
In this paper, He's energy balance method is applied to nonlinear oscillators. We illustrate that the energy balance is very effective and convenient and does not require linearization or small perturbation. Contrary to the conventional methods, in energy balance, only one iteration leads to high accuracy of the solutions. It is predicted that the energy balance method can be found wide application in engineering problems.
Download Full Article (253) View Full Article volume
Citation
Mohammad Pashaei, Davoodi Ganji, and Mehdi Akbarzade, "Application of the Energy Balance Method for Strongly Nonlinear Oscillators," Progress In Electromagnetics Research M, Vol. 2, 47-56, 2008.
doi:10.2528/PIERM08031602
References

1. He, J. H., "Mechanics Research Communication,", Vol. 29, 107-111, 2002.        Google Scholar

2. Xu, L., "Journal of Sound and Vibration,", Vol. 302, 178-184, 2007.        Google Scholar

3. Bender, C. M., K. S. Pinsky, and L. M. Simmons, "J. Math. Physics,", Vol. 30, No. 7, 447-1455, 1989.        Google Scholar

4. He, J. H., Applied Mathematics and Mechanics, Vol. 23, No. 6, 634-638, 2002.

5. He , J. H., "International Journal of Nonlinear Mechanics,", Vol. 34, No. 4, 699-708, 1999.        Google Scholar

6. Ganji, D. D., H. Tari, and H. Babazadeh, "Physics Letters A,", Vol. 363, No. 3, 213-217, 2007.        Google Scholar

7. Rafei, M., H. Daniali, and D. D. Ganji, "Applied Math. and Com.,", Vol. 186, No. 2, 1701-1709, 2007.        Google Scholar

8. Ganji, D. D. and A. Sadighi, Inter. J. of Nonlinear Sci. and Num. Sim., Vol. 7, No. 4, 411-418, 2006.        Google Scholar

9. Xu, L., "Chaos,Solitons & Fractals,", Vol. 37, No. 1, 137-143, 2008.        Google Scholar

10. Xu, L. and Physics Letters A, , Vol. 359, No. 6, 627-629, 2006.        Google Scholar

11. Ganji, D. D. and Physics Letters A, , Vol. 355, No. 4-5, 337-341, 2006.        Google Scholar

12. Rafei, M., D. D. Ganji, H. R. M. Daniali, and H. Pashaei, "Physics Lett. A,", Vol. 364, 1-6, 2007.        Google Scholar

13. Rafei, M., D. D. Ganji, and H. Daniali, "Appl. Math. and Com.,", Vol. 187, No. 2, 1056-1062, 2007.        Google Scholar

14. Ganji, D. D. and M. Rafei, "Physics Letters A,", Vol. 356, No. 2, 131-137, 2006.        Google Scholar

15. Rafei, M. and D. D. Ganji, "Inter. J. of Non-linear Sci. and Num. Sim.,", Vol. 7, No. 3, 321-329, 2006.        Google Scholar

16. He, J. H., Applied Mathematics and Computation, , Vol. 151, No. 1, 287-292, 2004.        Google Scholar

17. He, J. H., "International Journal of Non-linear Mechanics,", Vol. 35, No. 1, 37-43, 2000.        Google Scholar

18. Ozis, T. and A. Yildirim, "Inter. J. of Non-linear Sci. and Num. Sim.,", Vol. 8, No. 2, 243-248, 2007.        Google Scholar

19. He, J. H., Inter. J. of Non-linear Sci. and Num. Sim., , Vol. 2, No. 3, 257-264, 2001.        Google Scholar

20. He, J. H., Inter. J. of Non-linear Sci. and Num. Sim., , Vol. 1, No. 1, 51-70, 2000.        Google Scholar

21. He, J. H., "International Journal of Modern Physics B,", Vol. 20, No. 10, 1141-1199, 2006.        Google Scholar

22. He, J. H., "Non-p erturbative methods for strongly nonlinear problems," Dissertation, de-Verlag im Internet GmbH, Berlin, 2006.        Google Scholar

23. He, J. H., "International Journal of Modern Physics B,", Vol. 20, No. 10, 1141-1199, 2006.        Google Scholar

Download Full Article (253) View Full Article volume


The EM Academy piers.org jpier.org Who's Who in EM
Copyright © 2022 The Electromagnetics Academy. All Rights Reserved.