Abstract
In this study, a new model-reduction method based on the fine finite-element model of complicated beam-type structure is presented, which can meet the needs of fast rough estimation of structural global dynamic performances in preliminary design. Based on the knowledge of deformation characteristics of beam-type structures, the plane cross-section assumption and displacement interpolation function of the beam is introduced to construct a localized physical reduction base vector. By dividing the structure into several parts, the finite-element method structural nodal degrees of freedom in each part are projected onto the nodal deflection and rotation degree of freedom of two master nodes at its two ends; the part of the structure is reduced into a super beam element. A free–free reduced super beam model with fewer degrees of freedom than the original complicated one is obtained by assembling the super beam elements in series. The accuracy of the reduced super beam model is further improved by modifying the stiffness matrix of super beam element and considering the effect of shear deformation in a rational way. Several examples for fast frequency and transient analysis of the original structure under different boundary conditions and dynamic load are presented, which demonstrate the feasibility and efficiency of the proposed method.
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