三棱直线桁架的连续体等效及承载特性研究

CONTINUUM EQUIVALENCE AND BEARING CHARACTERISTICS OF A TRI-PRISM STRAIGHT TRUSS

  • 摘要: 随着大型装备制造及航天工程的发展,桁架在结构轻量化设计中的作用越来越显著。针对桁架结构各方向上不同的承载需求,利用连续体等效方法研究了三棱直线桁架的承载特性。考虑桁架截面特征,基于能量等效原则将离散桁架等效为连续介质梁模型,获得连续介质梁模型的等效刚度和等效质量,对比验证了桁架结构的数值计算频率和等效梁模型的理论推导结果,研究了在改变桁架横截面边长比例时其横向弯曲刚度和频率的变化趋势,分析了单胞形式对桁架横向弯曲刚度及频率的影响。研究结论对桁架结构在工程中的应用有一定的指导意义。

     

    Abstract: With the development of large equipment manufacturing and aerospace engineering, trusses play more and more significant roles in structural lightweight design. For different bearing requirements in each direction of truss structures, bearing characteristics of a tri-prism straight truss are studied with the continuum equivalent method. Based on the principle of energy equivalence, the configuration of the cross section is considered, the discrete truss is equivalent to a beam of a continuum model, the equivalent stiffness and mass of the beam model are obtained, and the numerical frequencies are compared with the theoretical results to verify the equivalent calculations. The changes of transverse bending stiffness and frequency are investigated with different side ratios in the cross section of a tri-prism truss. The influence on transverse bending stiffness and frequency of the tri-prism truss is studied by changing the configuration of the truss units. The research has certain guidance significance for applying truss structure in engineering fields.

     

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