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  • 1
    Electronic Resource
    Electronic Resource
    Large deflection problem of circular plates with variable thickness under the action of combined loads (1989)
    Springer
    Applied mathematics and mechanics 10 (1989), S. 817-827 
    Details
    ISSN: 1573-2754
    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 By using the modified iteration method of large deflection theory of plates with variable thickness[1], we solve the problem of circular plates with variable thickness subjected to combined loads under the boundary conditions of the clamped edges and get comparatively more accurate second-order approximate analytical solution. If the results of this paper are degraded into the special cases, the results coinciding with those of papers [1, 2] can be obtained. In this paper, the characteristic curves are plotted and some comparisons are made. The results of this paper are satisfactory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02013750
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Nonsymmetrical large deformation bending problem of circular thin plates (1992)
    Springer
    Applied mathematics and mechanics 13 (1992), S. 1149-1162 
    Details
    ISSN: 1573-2754
    Keywords: plate ; displacement ; nonlinear ; transformation ; perturbation method
    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 To begin with, in this paper, the displacement governing equations and the boundary conditions of nonsymmetrical large deflection problem of circular thin plates are derived. By using the transformation and the perturbation method, the nonlinear displacement equations are linearized, and the approximate boundary value problems are obtained. As an example, the nonlinear bending problem of circular thin plates subjected to comparatively complex loads is studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02456156
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Nonlinear vibration of circular corrugated plates (1987)
    Springer
    Applied mathematics and mechanics 8 (1987), S. 241-250 
    Details
    ISSN: 1573-2754
    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, first by using Hamilton principle, we derive the variational equation of circular corrugated plates. Taking the central maximum amplitude of circular corrugated plates as the perturbation parameter and adopting the perturbation variational method, in the first-order approximation, we obtain the natural frequency of linear vibration of circular corrugated plates and then the nonlinear natural frequency of the corrugated plates. By comparing with the linear results, the attempt of this paper is proved feasible.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02018549
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    Paper (German National Licenses)
    Fulltext
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