Mechanical analysis of hierarchical isogrid sandwich plate
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摘要: 为了提高点阵复合材料结构的轻质高强力学特征,尤其提高其抗屈曲性能,设计了一种新型的多级三角形格栅夹芯板结构。根据等效连续介质力学方法提出了多级三角形格栅夹芯板的等效计算理论,预测了拉伸主导型多级三角形格栅夹芯板结构的等效弹性模量以及等效抗弯刚度。分析了侧压条件下多级三角形格栅夹芯板的弹性屈曲载荷和强度破坏模式。在理论模型的基础上绘制了侧压条件下多级三角形格栅夹芯板结构的失效模式图,指出了结构破坏模式与多级三角形格栅夹芯板尺寸之间的对应关系。研究表明:具有工字型截面的多级三角形格栅夹芯板结构相比于传统矩形截面格栅结构具有更高的抗弯刚度和弹性屈曲载荷,是一种性能更加优越的轻质高强点阵结构。
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关键词:
- 点阵复合材料结构 /
- 多级三角形格栅夹芯板 /
- 等效理论 /
- 弹性屈曲 /
- 失效模式
Abstract: In order to enhance the mechanical behavior of ultra-light lattice composite structure with high strength, especially its anti-buckling ability, a new hierarchical isogrid sandwich structure was designed. An equivalent continuum method was proposed to put forward the equivalent calculation theory of hierarchical isogrid sandwich plate and to predict the effective elastic modulus and bending rigidity of the stretching-dominated hierarchical structure. Elastic buckling failure load and strength in material failure mode of the hierarchical isogrid sandwich plate in edgewise compression were analyzed. Based on these theoretical models, failure mode map of the hierarchical isogrid sandwich plate under edgewise compression was plotted to point out the corresponding relationships between the structure failure modes and the dimensions of the hierarchical isogrid sandwich plate. Results show that hierarchical isogrid sandwich plate with I-shaped cross-section is stiffer and stronger in buckling resistance compared with isogrid plate with traditional rectangular cross-section. The property of hierarchical isogrid sandwich plate is superior as a kind of ultra-light lattice structure with high strength.
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