Non-conservatively loaded stochastic columns (Q1309505)

This paper treats the subsequent non-self-adjoint random eigenvalue problem that arises when the material property values of the non- conservative structural system have stochastic fluctuations. The free vibration problems of stochastic Beck's column and stochastic Leipholz column whose Young's modulus and mass density are distributed stochastically are considered. The stochastic finite element method is implemented to arrive at a random non-self-adjoint algebraic eigenvalue problem. The stochastic characteristics of eigensolutions are derived in terms of the stochastic material property variations.