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基于能量法的梁的非线性振动解法 被引量:1

A SUMMRIATION ABOUT THE SOLUTION OF THE NON-LINER VIBRATION OF BEAMS BASED ON THE ENERGY METHOD
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摘要 本文首先由能量法推导出了大挠度梁的振动运动方程 。 In the paper, the equation of motion of the beams' geometrically non-linear vibrations is educed by the method of energy. The different solving methods of the simply supported uniform beams' free vibrations are shown in the paper.
出处 《宜宾学院学报》 2004年第6期165-167,共3页 Journal of Yibin University
关键词 几何非线性振动 能量法 谐振子 Geometrically Non-linear Vibration The Method of Energy Harmonic Escillation
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  • 1[1]S.Woinowsky-Krieger. The effect of an axial force on the vibration of hinged bars[J]. Transactions of theAmerican Society of Mechanical Engineers. 1950,(72):35-36.
  • 2[2]D.A.Evensen.Nonlinear vibrations of beams with various boundary conditions[J]. American Institute of Aeronautics and Astronautics Journal, 1968,( 6) :370-372.
  • 3[3]A.V.Srinivasan, Large amplitude free oscillations of beams and plates[J]. American Institute of Aeronautics and Astronautics .1965,Journal3.1951-1953.
  • 4[4]S.R.R Pillai, et. On nonlinear free vibrations of simply supported uniform beams[J]. Journal of Sound and Vibration. 1992,159(3):527-531.
  • 5[5]H.R.Srirangarajan. Nonlinear free vibrations of uniform beams[J]. Journal of Sound and Vibration,1994, 175(3): 425-427.

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