Component-Wise Models for the Accurate Dynamic and Buckling Analysis of Composite Wing Structures

Abstract

In the present work, a higher-order beam model able to characterize correctly the three-dimensional strain and stress fields with minimum computational efforts is proposed. One-dimensional models are formulated by employing the Carrera Unified Formulation (CUF), according to which the generic 3D displacement field is expressed as the expansion of the primary mechanical variables. In such a way, by employing a recursive index notation, the governing equations and the related finite element arrays of arbitrarily refined beam models can be written in a very compact and unified manner. A Component-Wise (CW) approach is developed in this work by using Lagrange polynomials as expanding cross-sectional functions. By using the principle of virtual work and CUF, free vibration and linearized buckling analyses of composite aerospace structures are investigated. The capabilities of the proposed methodology and the advantages over the classical methods and state-of-the-art tools are widely demonstrated by numerical results.

Effect of Fiber Orientation Path on the Buckling, Free Vibration, and Static Analyses of Variable Angle Tow Panels

“…These expansions are used to formulate cubic and quadratic higher-order kinematics, respectively. The L9 polynomial expansion can be summarized as follows (for more details, please refer to [54,55]…”

“…7and FEM in Eqs. (10) and (16), the following formulation can be obtained based on the Green-Lagrange nonlinear strain and displacement relations (see Carrera et al [55]):…”

“…Finally, the global matrices are assembled in the classical FEM. The critical buckling loads are determined as initial stress states  0 , which render the tangent stiffness matrix singular; i.e., | | 0   0 KK [55].…”

“…(10-13) can be employed for solving free vibration. Subsequently, the work done by the inertial forces provides the fundamental nucleus of the mass matrix, as defined in Carrera et al [55]:…”