Buckling reliability evaluation of a clamped beam with random imperfections subjected to axial impact using probability density evolution method
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Yazhou Xu [1]
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[1] Xi'an University of Architecture and Technology
Xi'an University of Architecture and Technology
China
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- Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 44, Nº. 4, 2016, págs. 451-461
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
Based on the generalized probability density evolution theory, the joint probability density function of impact responses and random factors, that is, random initial imperfection and load intensity for a clamped beam, is derived. And a Total Variation Diminishing (TVD)-based numerical scheme is employed to obtain the numerical solutions. With given threshold values, the dynamic reliability is assessed in terms of a bilateral displacement criterion. Two numerical examples are then presented to demonstrate the proposed method. One is a clamped beam with random initial perfections subjected to a deterministic impulse load, and another is a clamped beam with a deterministic initial imperfection subjected to impact loading with a random amplitude. The predicted dynamic reliability is in good agreement with the result by Monte Carlo method.
