Reinforcement and Homogenization of Non-orthogonality Stiffening on Dynamic Stiffness of Stiffened Plates
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摘要: 为了探究加筋形式对加筋板动力特性的影响,采用有限元法计算了四边固支边界条件下正交加筋板、倾斜加筋板、弯曲加筋板模型的固有频率与振型。通过对比分析这三种加筋板动力特性的区别与联系,揭示了加筋形式对板梁动力耦合特性以及加筋板本征动力特性的影响规律。研究表明,倾斜加筋板固有频率相较于正交加筋板固有频率增加了9%。相对于正交加筋板而言,倾斜加筋板与弯曲加筋板的动刚度分布较为均匀,其中弯曲加筋板的动刚度均化效应更加显著。加强筋对加筋板动力特性的影响程度越高,加筋形式对加筋板动力特性的影响越大。Abstract: In order to explore the influence of stiffener configurations on the intrinsic dynamic characteristics of the stiffened plates, natural frequencies and mode shapes of orthogonally, obliquely, and curvilinearly stiffened plates are calculated by the finite element method under the clamped boundary conditions. The comparative and analogy analysis on the intrinsic dynamic characteristics of the three types of stiffened plates reveals the influence of the stiffener configurations on the dynamic coupling behaviors and intrinsic dynamic characteristics of the stiffened plates. Numerical results show that the natural frequency of the obliquely stiffened plate can be increased by 9% higher than that of the orthogonally stiffened plate. The stiffness distribution of obliquely stiffened plate and curvilinearly stiffened plate is more homogeneous than that of the orthogonally stiffened plate, and the dynamic stiffness homogenization effect of curvilinearly stiffened plate is more significant. The stronger the reinforcement, the greater the influence of the stiffener configurations on the dynamic characteristics of the stiffened plate.
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