热压电桁架结构屈曲稳定性有限元分析

The buckling stability finite element analysis of thermal piezoelectric truss structures

梁、板、壳组合结构在航空航天和控制系统中得到了广泛应用。一般来说,桁架结构是作为整体结构的支撑来使用的,综合考虑热、机械和电场作用有助于充分发挥材料性能。本文从力的平衡方程出发,考虑温度场、机械场和电场多场耦合的情况,推导出了热压电桁架结构的静力分析有限元模型,并在此基础上给出了在多场荷载共同作用下的结构屈曲稳定性求解的有限元方程。数值算例表明,多场耦合效应能够对结构的屈曲稳定性影响较大。合理利用温度的影响,可以提高结构工作性能,并为梁、板、壳组合结构的优化和控制提供了理论基础。

Structures consist of trusses and shells have been widely used in aeronautics industry for their superior properties, such as structures, trusses are used the past few decades, much high stiffness-weight ratio, conveniently designable, etc. Generally, in such as support bases and usually made of thermal and piezoelectric materials. In important progress in modeling and simulations has been achieved to understand how to control the distribution of structural components （e. g. , trusses） and materials to gain good performance, however, it is still far from completeness. In this paper, considering the Thermal- Mechanical-Electrical coupling effect, the thermal piezoelectric finite element equation of the static and buckling analysis was derived for truss structure from the basic equilibrium equation. Numerical results showed that the multi-field coupling effect has a significant influence on the buckling stability of the thermal piezoelectric truss structure. Utilizing the coupling effect rationally can improve the structure buckling stability effectively. Thus, mechanical analysis towards to the thermal piezoelectric truss strutture offers a theoretical foundation to the optimization and control of the whole structure.