Topology Optimization Based Parametric Design of Balloon Borne Telescope’s Primary Mirror

Liu, Fengchang; Li, Wei; Zhao, Weiguo; Zhao, Haibo; Lin, Guanyu; Wang, Xiaodong

doi:10.3390/app11115077

Cited by 10 publications

(7 citation statements)

References 25 publications

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“…Different measurement methods for fundamental frequency, mass, and surface shape errors, so it is suitable to turn the contradictory multi-objective into a single objective by compromise programming mathematics method and optimize the final compromise solution. Using the compromise programming theory, the mathematic model of the parametric compromise programming is shown in (9):…”

Section: Optimization Design Of the Primary Mirror 41 Optimization Ma...mentioning

confidence: 99%

“…The optimization parameters of the primary mirror and the flexible hingle are shown in Figure 5. Among them, Figure 5a shows the optimized parameters of the primary mirror, 1 -6 are the rib width, 7 is the diameter of the circle where the support point is located, 9 is the wall thickness of the primary mirror body, and 8 and 10 are the rib height. Figure 5b shows the optimized parameters of the flexure hinge, L1 and L4 are the slot widths, L2 and L5 are the distances between parallel slot centers, and L3 and L7 are the distances between the slots on the same circle.…”

Section: Design Of the Primary Mirror And Flexible Hingementioning

confidence: 99%

“…Its surface shape accuracy reached 3.58 nm under gravity conditions [ 8 ]. Fengchang Liu et al studied the primary mirror structure with 6-point back support and triangular lightweight form and optimized the design of the primary mirror structure parameters using a compromise programming method and topology optimization algorithm, which improved the overall performance of the primary mirror and reduced the weight, RMSx, and RMSz by 8.5%, 14.3%, and 10.5% in turn [ 9 ]. Qin Tao et al used a hybrid IPSO-IAGA-BPNN algorithm to optimize the structural parameters of the reflector, and the advantages and disadvantages of different optimization methods are also analyzed [ 10 ].…”

Section: Introductionmentioning

confidence: 99%

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Optimization Design of Large-Aperture Primary Mirror for a Space Remote Camera

Liu

et al. 2023

Sensors

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Lightweight, high stability, and high-temperature adaptability are the primary considerations when designing the primary mirror of a micro/nano satellite remote sensing camera. In this paper, the optimized design and experimental verification of the large-aperture primary mirror of the space camera with a diameter of Φ610 mm is carried out. First, the design performance index of the primary mirror was determined according to the coaxial tri-reflective optical imaging system. Then, SiC, with excellent comprehensive performance, was selected as the primary mirror material. The initial structural parameters of the primary mirror were obtained using the traditional empirical design method. Due to the improvement of SiC material casting complex structure reflector technology level, the initial structure of the primary mirror was improved by integrating the flange with the primary mirror body design. The support force acts directly on the flange, changing the transmission path of the traditional back plate support force, and has the advantage that the primary mirror surface shape accuracy can be maintained for a long time when subjected to shock, vibration, and temperature changes. Then, a parametric optimization algorithm based on the mathematical method of compromise programming was used to optimize the design of the initial structural parameters of the improved primary mirror and the flexible hinge, and finite element simulation was conducted on the optimally designed primary mirror assembly. Simulation results show that the root mean square (RMS) surface error is less than λ/50 (λ = 632.8 nm) under gravity, 4 °C temperature rise, and 0.01 mm assembly error. The mass of the primary mirror is 8.66 kg. The maximum displacement of the primary mirror assembly is less than 10 μm, and the maximum inclination angle is less than 5″. The fundamental frequency is 203.74 Hz. Finally, after the primary mirror assembly was precision manufactured and assembled, the surface shape accuracy of the primary mirror was tested by ZYGO interferometer, and the test value was 0.02 λ. The vibration test of the primary mirror assembly was conducted at a fundamental frequency of 208.25 Hz. This simulation and experimental results show that the optimized design of the primary mirror assembly meets the design requirements of the space camera.

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Section: Optimization Design Of the Primary Mirror 41 Optimization Ma...mentioning

confidence: 99%

Section: Design Of the Primary Mirror And Flexible Hingementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optimization Design of Large-Aperture Primary Mirror for a Space Remote Camera

Liu

et al. 2023

Sensors

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“…Attenuation of unwanted vibrations is important in engineering structures as they could have detrimental effects on structural performances. Precious topology optimization focuses mainly on maximizing single dynamic performance like natural frequency [11,12], modal damping [13], or frequency response [14]. Topology optimization minimizing dynamic responses in time domain is another case of more difficulties.…”

Section: Introductionmentioning

confidence: 99%

A Modified Bi-Directional Evolutionary Structural Optimization Procedure with Variable Evolutionary Volume Ratio Applied to Multi-Objective Topology Optimization Problem

Jiang¹,

Ma²,

Teng³

2023

Computer Modeling in Engineering &Amp; Sciences

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Natural frequency and dynamic stiffness under transient loading are two key performances for structural design related to automotive, aviation and construction industries. This article aims to tackle the multi-objective topological optimization problem considering dynamic stiffness and natural frequency using modified version of bi-directional evolutionary structural optimization (BESO). The conventional BESO is provided with constant evolutionary volume ratio (EVR), whereas low EVR greatly retards the optimization process and high EVR improperly removes the efficient elements. To address the issue, the modified BESO with variable EVR is introduced. To compromise the natural frequency and the dynamic stiffness, a weighting scheme of sensitivity numbers is employed to form the Pareto solution space. Several numerical examples demonstrate that the optimal solutions obtained from the modified BESO method have good agreement with those from the classic BESO method. Most importantly, the dynamic removal strategy with the variable EVR sharply springs up the optimization process. Therefore, it is concluded that the modified BESO method with variable EVR can solve structural design problems using multi-objective optimization.

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“…Liu et al completed a topology optimization design for the lightweight primary mirror [1]. Liu et al improved the imaging quality and reduced the weight of the primary mirror through topology optimization [2]. Qu et al integrate topology optimization and parameter optimization methods for the lightweight design of the reflector [3].…”

Section: Introductionmentioning

confidence: 99%

Bayesian Regularization Algorithm Based Recurrent Neural Network Method and NSGA-II for the Optimal Design of the Reflector

Zhang

Sun

2022

Machines

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The optical-mechanical system of a space camera is composed of several complex components, and the effects of several factors (weight, gravity, modal frequency, temperature, etc.) on its system performance need to be considered during ground tests, launch, and in-orbit operation. In order to meet the system specifications of the optical camera system, the dimensional parameters of the optical camera structure need to be optimized. There is a highly nonlinear functional relationship between the dimensional parameters of the optical machine structure and the design indexes. The traditional method takes a significant amount of time for finite element calculation and is less efficient. In order to improve the optimization efficiency, a recurrent neural network prediction model based on the Bayesian regularization algorithm is proposed in this paper, and the NSGA-II is used to globally optimize multiple prediction objectives of the prediction model. The reflector of the space camera is used as an example to predict the weight, first-order modal frequency, and gravitational mirror deformation root mean square of the reflector, and to complete the lightweight design. The results show that the prediction model established by BR-RNN-NSGA-II offers high prediction accuracy for the design indexes of the reflector, which all reach over 99.6%, and BR-RNN-NSGA-II can complete the multi-objective optimization search efficiently and accurately. This paper provides a new idea of optimization of optical machine structure, which enriches the theory of complex structure design.

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Topology Optimization Based Parametric Design of Balloon Borne Telescope’s Primary Mirror

Cited by 10 publications

References 25 publications

Optimization Design of Large-Aperture Primary Mirror for a Space Remote Camera

Optimization Design of Large-Aperture Primary Mirror for a Space Remote Camera

A Modified Bi-Directional Evolutionary Structural Optimization Procedure with Variable Evolutionary Volume Ratio Applied to Multi-Objective Topology Optimization Problem

Bayesian Regularization Algorithm Based Recurrent Neural Network Method and NSGA-II for the Optimal Design of the Reflector

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