Abstract

To meet the needs of large space telescopes, such as light weight, high folding ratio, and low manufacturing cost, a flexible deployable regular hexagonal membrane sunshield is proposed in this paper. Firstly, the dynamic equation of the membrane plane is established by the micro-element method. Then, the response surface method is used to obtain the mathematical model of the fundamental frequency of the membrane sunshield. The factors influencing this model, such as the corner pulling force, the effective circle radius, and the edge arch height, are analyzed. By combining the formula of the fundamental frequency of the membrane sunshield and the effective area ratio of the sunshield, the multi-objective optimization function of the fundamental frequency of the membrane sunshield is obtained. A scaled-down experimental prototype of the membrane sunshield is built, and the modal test is performed on the thin membrane plane with a circular fixed boundary in the middle. Comparing the experimental results with the finite element simulation results, the mode shape and the fundamental frequency are highly consistent. This proves that the model can be used to solve the fundamental frequency of the membrane sunshield under the same boundary.

Highlights

  • With the development of the aerospace industry, the diameter of space-borne optical systems is being continuously enlarged

  • The second-order model is a torsional mode, similar to a “V” shape. This shows that under the same boundary conditions, the fundamental frequency of the membrane sunshield can be solved by finite element simulation

  • According to the working principle of the space telescope at the L2 point, this paper proposes a flexible and deployable regular hexagonal membrane sunshield

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Summary

Introduction

With the development of the aerospace industry, the diameter of space-borne optical systems is being continuously enlarged. Compared with the configuration design of the membrane sunshield, there are more studies on the membrane structure’s dynamic characteristics and experimental analysis. Shen et al [17] conducted modal analysis on the membrane with arc edge using simulation software They obtained the law that the square of the tensile force is proportional to the first-order frequency of the membrane. Zhang Yuelin et al [19] conducted membrane modal experiments with high-power pulsed lasers as excitation sources They verified that the flexible piezoelectric element and non-contact vibration test system effectively suppress and evaluate the vibration responses of smart membrane structures. Based on the above problems in the configuration design and dynamic analysis of the membrane sunshield, this paper proposes a new type of regular polygon membrane sunshield and conducts a dynamic analysis. It provides theoretical support for the fundamental frequency solution of membrane sunshields in the future

Configuration Design of Membrane Sunshield
Fundamental Frequency Mathematical Model Establishment
Cubic polynomial
Prototype Test Analysis
Findings
Conclusions
Full Text
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