当前位置: X-MOL 学术Thin-Walled Struct. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Equivalent continuum model and nonlinear breathing vibrations of rotating circular truss antenna subjected to thermal excitation
Thin-Walled Structures ( IF 6.4 ) Pub Date : 2020-09-24 , DOI: 10.1016/j.tws.2020.107127
J. Chen , W. Zhang , Y.F. Zhang

This paper focuses on the equivalent continuum model and nonlinear vibrations of a rotating circular truss antenna subjected to the thermal excitation. A rotating equivalent continuum cylindrical shell is proposed to take place of the circular truss antenna through obtaining the static and kinematical equivalence between the beam element and equivalent-plate element. The nonlinear governing equations of the rotating equivalent cylindrical shell are derived by using the first-order shear deformation theory, von Karman nonlinear strains-displacement relation and Hamilton's principle. The accuracy of this model is verified by comparing the dimensionless frequencies obtained by the present method with those in open literature. The influences of the geometric and material parameters and rotating speed on the first two dimensionless natural frequencies are investigated. The obtained results are useful for improvement in the design and optimization of the material parameters and geometry sizes of the rotating circular truss antenna. The case of 1:2 the internal resonance, primary parametric resonance and 1/2 subharmonic resonance of the rotating equivalent cylindrical shell is considered through the method of multiple scales. The frequency-response curves are obtained to study the nonlinear vibrations of the rotating equivalent cylindrical shell. The periodic and chaotic vibrations can be found for the rotating equivalent cylindrical shell subjected to the thermal excitation. The results of this study give useful information to avoid the internal resonance and control the resonant responses of the rotating circular truss antenna.



中文翻译:

旋转圆桁架天线热激励的等效连续模型和非线性呼吸振动

本文着重研究旋转圆桁架天线在热激励作用下的等效连续模型和非线性振动。通过获得梁单元和等效板单元之间的静态和运动学等效性,提出了旋转等效连续体圆柱壳代替圆形桁架天线。利用一阶剪切变形理论,von Karman非线性应变-位移关系和汉密尔顿原理,推导了旋转等效圆柱壳的非线性控制方程。通过将本方法获得的无量纲频率与公开文献中的无量纲频率进行比较,验证了该模型的准确性。研究了几何和材料参数以及转速对前两个无量纲固有频率的影响。获得的结果对于改进旋转圆形桁架天线的材料参数和几何尺寸的设计和优化是有用的。通过多尺度方法考虑了旋转等效圆柱壳的内部共振,主参数共振和1/2次谐波共振为1:2的情况。获得了频率响应曲线,以研究旋转等效圆柱壳的非线性振动。对于经历热激发的旋转等效圆柱壳,可以发现其周期性和混沌振动。

更新日期:2020-09-25
down
wechat
bug