On the subharmonic resonance and the second harmonics of a plane wave in nonlinear elastic bodies

被引:0
|
作者
Cattani, C.
Rushchitskij, J.J.
机构
来源
Prikladnaya Mekhanika | 2003年 / 39卷 / 01期
关键词
Analysis; -; Elasticity; Oscillations; Resonance;
D O I
暂无
中图分类号
学科分类号
摘要
A number of similarities in the processes of an appearance of the subharmonic resonance in linear mechanical systems and a formation of the second harmonics of the plane wave in nonlinearly deformed elastic bodies are described. It is noted that linear mechanical systems are classified as a classical mechanics subject and thoroughly studied. Then the knowledge of the mechanical and mathematical similarity between these systems and systems describing new waves generation in rigid bodies is very useful.
引用
收藏
页码:109 / 115
相关论文
共 50 条
  • [1] The subharmonic resonance and second harmonic of a plane wave in nonlinearly elastic bodies
    Cattani, C
    Rushchitskii, YY
    INTERNATIONAL APPLIED MECHANICS, 2003, 39 (01) : 93 - 98
  • [2] The Subharmonic Resonance and Second Harmonic of a Plane Wave in Nonlinearly Elastic Bodies
    C. Cattani
    Ya. Ya. Rushchitskii
    International Applied Mechanics, 2003, 39 : 93 - 98
  • [3] Generation of the second, fourth, eighth, and subsequent harmonics by a quadratic nonlinear hyperelastic longitudinal plane wave
    Rushchitsky J.J.
    Sinchilo S.V.
    Khotenko I.N.
    International Applied Mechanics, 2010, 46 (06) : 649 - 659
  • [4] Generator of second harmonics of Alfven wave in plane plasma waveguide
    Nakaryakov, V.M.
    Fajnshtejn, S.M.
    Izvestiya VUZ: Radiofizika, 1991, 34 (02): : 211 - 213
  • [5] Subharmonic Resonance of Geometrical Nonlinear Structure in 2-D Periodic Elastic System for Mechanical Wave Filtering
    Li, Cheng
    Liu, Zeliang
    Li, Ming
    Li, Hungguang
    Li, Ying
    Liu, Wing Kam
    STRUCTURAL HEALTH MONITORING 2015: SYSTEM RELIABILITY FOR VERIFICATION AND IMPLEMENTATION, VOLS. 1 AND 2, 2015, : 1054 - 1061
  • [6] NONLINEAR DISTORTION AND SECOND HARMONICS IN TRAVELING-WAVE TUBES
    TANAKA, I
    NISHIHARA, H
    ELECTRONICS & COMMUNICATIONS IN JAPAN, 1972, 55 (07): : 62 - 68
  • [7] NONLINEAR REFLECTION OF A PLANE-WAVE IN AN ELASTIC MEDIUM
    LOKSHIN, AA
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1994, 58 (06): : 1111 - 1114
  • [8] NONLINEAR DISTORTION AND SECOND HARMONICS IN TRAVELING-WAVE TUBES.
    Tanaka, Ikuo
    Nishihara, hiroshi
    Electronics and Communications in Japan (English translation of Denshi Tsushin Gakkai Zasshi), 1972, 55 (07): : 62 - 68
  • [9] Second harmonics generated by a bounded standing wave on a plane beach of arbitrary slope
    Body, GL
    Ehrenmark, UT
    QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1999, 52 : 525 - 542
  • [10] Second harmonics generated by a bounded standing wave on a plane beach of arbitrary slope
    Body, G.L.
    Ehrenmark, U.T.
    Quarterly Journal of Mechanics and Applied Mathematics, 1999, 52 (pt 4): : 525 - 542