This paper extends the approach previously proposed by the authors Manta et al. (2020, 2021) to the dynamic case, more precisely to the calculation of natural frequencies (including pre-loaded members) and the linear time-history response of thin-walled members and frames with complex geometry, undergoing global–local–distortional deformation. This approach relies on a combination of standard shell and GBT-based (beam) finite elements, where the prismatic beam parts are modelled with standard GBT-based elements with a minimum number of deformation modes (hence a minimum number of DOFs), while the geometrically complex zones (perforations, tapering, joints) are handled using shell elements. Three numerical examples are presented to demonstrate the capabilities and potential of the proposed approach. These examples concern (i) a lipped channel cantilever with two long holes, (ii) a lipped channel cantilever with a tapered segment, subjected to pre-loading, and (iii) an L-shaped frame with I-section members and a tapered joint. For comparison and validation purposes, full shell finite element model solutions are provided. In all examples, it is concluded that the proposed approach leads to very accurate results and a significant DOF economy with respect to full shell finite element models.

本文扩展了作者 Manta 等人先前提出的方法。(2020, 2021) 动态情况，更精确地计算自然频率（包括预加载构件）和薄壁构件和具有复杂几何形状的框架的线性时程响应，经历全局-局部-扭曲变形. 这种方法依赖于标准壳和基于 GBT 的（梁）有限元的组合，其中棱柱形梁部件使用基于 GBT 的标准单元建模，变形模式数量最少（因此自由度数量最少），而几何复杂的区域（穿孔、锥形、接头）使用壳单元处理。三个数值例子展示了所提出方法的能力和潜力。这些示例涉及 (i) 具有两个长孔的唇形通道悬臂，(ii) 具有锥形段的唇形通道悬臂，承受预加载，以及 (iii) 具有 I 形截面构件和锥形的 L 形框架联合的。为了比较和验证的目的，提供了全壳有限元模型解决方案。在所有示例中，得出的结论是，相对于全壳有限元模型，所提出的方法导致非常准确的结果和显着的自由度经济性。