spectral stochastic finite element vibration analysis of fiber-reinforced composites with random fiber orientation文档.pdfVIP

Composite Structures 145 (2016) 119–128 Contents lists available at ScienceDirect Composite Structures journal homepage: www.elsevi /locate/compstruct Spectral stochastic finite element vibration analysis of fiber-reinforced composites with random fiber orientation K. Sepahvand Institute of Mechanics, Universität der Bundeswehr Munich, 85579 Neubiberg, Germany a r t i c l e i n f o a b s t r a c t Article history: Fiber-reinforced composites exhibit random fiber orientations due to the manufacturing tolerances. The Available online 2 March 2016 present study concerns with a numerical investigation of the vibrational behavior of the long fiber- reinforced composites under uncertainty in fiber orientations. The basic constitutive equations of lami- Keywords: nate theory based on the first-order shear deformation are developed in stochastic form. It is assumed Fiber-reinforced composite that each ply-orientation exhibits individual spatial and random variations from the nominal mean value. Stochastic FEM These lead to local variations in mechanical properties such as structural stiffness and mass matrices and, Karhunen–Loève expansion accordingly, in structural responses. The finite element formulation utilizes the spectral stochastic dis- Polynomial chaos Random fiber orientation cretization in the sense that the random fiber orientations are approximated by