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    Electronic Resource
    Electronic Resource
    Subharmonic and ultra-subharmonic response of nonlinear elastic beams subjected to harmonic excitation (1999)
    Springer
    Applied mathematics and mechanics 20 (1999), S. 1319-1323 
    Details
    ISSN: 1573-2754
    Keywords: nonlinear ; dynamic system ; bifurcation ; O175
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper, the dynamics response of beams subjected to transverse harmonic excitation is studied. The noniinearity of constitutive relations of the beam material is considered. When the buckled beams compressed by axial forces are subjected to transverse period perturbation, the harmonic bifurcates into subharmonic and ultra-subharmonic sequences. The critical conditions for subharmonic and ultra-subharmonic orbits are determined by use of Melnikov method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459164
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  • 2
    Electronic Resource
    Electronic Resource
    Chaotic motion of a nonlinear thermoelastic elliptic plate (1999)
    Springer
    Applied mathematics and mechanics 20 (1999), S. 960-966 
    Details
    ISSN: 1573-2754
    Keywords: thermoelasticity ; chaos ; Melnikov function ; Poincaré mapping ; O343.5
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In the paper the nonlinear dynamic equation of a harmonically forced elliptic plate is derived, with the effects of large deflection of plate and thermoelasticity taken into account. The Melnikov function method is used to give the critical condition for chaotic motion. A demonstrative example is discussed through the Poincaré mapping, phase portrait and time history. Finally the path to chaotic motion is also discussed. Through the theoretical analysis and numerical computation some beneficial conclusions are obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459058
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    Paper (German National Licenses)
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