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Non Conservatively Loaded Stochastic Columns

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Computational Stochastic Mechanics

Abstract

The finite element method for analysis of nonconservatively loaded stochastic columns is developed. The governing equations for a column whose material properties are having stochastic fluctuations are derived. The resulting non self adjoint random eigenvalue problem is examined to derive the stochastic characteristics of its eigen solution. The free vibration problems of stochastic Beck’s column and stochastic Leipholz columns whose Young’s modulus and mass density are distributed stochastically are considered. Numerical results are presented.

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© 1991 Computational Mechanics Publications

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Ramu, S.A., Sankar, T.S., Ganesan, R. (1991). Non Conservatively Loaded Stochastic Columns. In: Spanos, P.D., Brebbia, C.A. (eds) Computational Stochastic Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3692-1_35

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  • DOI: https://doi.org/10.1007/978-94-011-3692-1_35

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-698-0

  • Online ISBN: 978-94-011-3692-1

  • eBook Packages: Springer Book Archive

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