In this Paper, the stiffness matrix of frame element with random material property (elastic modulus) is derived. Then, the relation between forces and displacements is presented and expansion of the obtained matrix is carried out using Taylor series.
The result of this expansion is the mean values and Variability Function of nodal displacements.
Attarnejad, R., & Baradaran Hoseini, S. S. (2011). Frame Analysis with Random Material Property (Technical Note). Journal of Civil and Surveying Engineering, 45(2), 133-140.
MLA
Reza Attarnejad; Seyed Saeed Baradaran Hoseini. "Frame Analysis with Random Material Property (Technical Note)", Journal of Civil and Surveying Engineering, 45, 2, 2011, 133-140.
HARVARD
Attarnejad, R., Baradaran Hoseini, S. S. (2011). 'Frame Analysis with Random Material Property (Technical Note)', Journal of Civil and Surveying Engineering, 45(2), pp. 133-140.
VANCOUVER
Attarnejad, R., Baradaran Hoseini, S. S. Frame Analysis with Random Material Property (Technical Note). Journal of Civil and Surveying Engineering, 2011; 45(2): 133-140.