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  • 1
    Electronic Resource
    Electronic Resource
    Computation of frequencies and damping ratios for adaptive structures (1999)
    Springer
    Applied mathematics and mechanics 20 (1999), S. 690-697 
    Details
    ISSN: 1573-2754
    Keywords: adaptive structure ; active member ; state vector approach ; frequency damping ratio ; V414.33
    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, a new technique of state vector approach to solving damping ratios of adaptive structures is proposed, by which the state matrix can be analytically conducted the Cholesky decomposition, providing that the mass matrix is derived by lumped method. In this case, not only the computional accuracy is raised, but also the numerical operations are reduced. Finally, some numerical results are presented to show that the solution method is simple and efficient.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02464944
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  • 2
    Electronic Resource
    Electronic Resource
    Analysis and calculation of the nonlinear stability of the rotational composite shell (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 209-216 
    Details
    ISSN: 1573-2754
    Keywords: composite material ; rotational shell ; stability ; nonlinear ; O347.3
    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 adopting the energy method, a new method to calculate the stability of the composite shell of revolution is presented. This method takes the influence of nonlinear prebuckling deformations and stresses on the buckling of the shell into account. The relationships between the prebuckling deformations and strains are calculated by nonlinear Kármán equations. The numerical method is used to calculate the energy of the total system. The nonlinear equations are solved by combining gradient method and amendatory Newton iterative method. The computer program is also developed. An example is given to demonstrate the accuracy of the method presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458522
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    Paper (German National Licenses)
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