Sensitivity analysis of thermal deformation of CFRP laminate reflector due to fiber orientation error

Tanaka, Shun Ichiro; Ikeda, Tadashige; Senba, Atsuhiko

doi:10.1007/s12206-016-0905-z

Cited by 14 publications

(17 citation statements)

References 6 publications

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“…Strain induced by the force { N T } and the moment { M T } can be described 5 error (Tanaka et al, 2016). Tanaka, Ikeda and Senba, Mechanical Engineering Journal, Vol.3, No.6 (2016) as (Arao et al, 2010, Jones, 1975, …”

Section: Analytical Discussionmentioning

confidence: 99%

“…When the active shape control is adopted to achieve the desired precision, the knowledge of the thermal deformation 8 plane thermal deformation of CFRP reflectors (Tanaka et al, 2016). When fiber orientation error of +1 degree or −1…”

Section: Methods Of Reducing Out-of-plane Thermal Deformationmentioning

confidence: 99%

“…That of the reflector model with aluminum and polyurethane layers was 0.98mm. The target thickness of aluminum spray was 0.02mm and thus, that of polyurethane 2 In our previous work, Tanaka et al investigated the effect of fiber orientation angle on thermal deformation of the CFRP reflectors (Tanaka et al, 2016) and concluded that the maximum and minimum displacement of out-of-plane thermal deformation caused by fiber orientation error has its peaks on the directions inclined ±45 degrees from the fiber orientation angle of the most surficial layer. When the out-of-plane thermal deformation is suppressed by actuators to realize high precision CFRP reflectors, such a result is important to determine the optimal placement of actuators.…”

Section: Cfrp Reflector Modelmentioning

confidence: 99%

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Thermal deformation generated on a CFRP laminated reflector

Tanaka

Ikeda

Senba

2016

Mechanical Engineering Journal

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Carbon Fiber Reinforced Plastic (CFRP) has high specific stiffness and its thermal deformation can be controlled by fiber orientation. Therefore, it is often adopted as a material of space observation systems. In this study, experiment, numerical and analytical calculation on thermal deformation of CFRP reflector models were conducted to investigate the characteristics of thermal deformation of CFRP reflectors (mirrors) for space observation systems. Two types of reflector models were manufactured, which were comprised of a quasi-isotropic CFRP laminate with and without an sprayed aluminum layer and a polyurethane layer on the top surface. The experimental results showed that the out-of-plane thermal deformation of the reflector model with the aluminum and polyurethane layers is considerably larger than that of the reflector model without the aluminum and polyurethane layers and maximum and minimum displacement were observed in specific directions. The result of the numerical calculation showed the same trend. Additionally, this trend was discussed analytically. Moreover, uncertainty of the structure and method of reducing out-of-plane displacement were discussed. When shape control to suppress thermal deformation of CFRP reflectors is considered, the result obtained in this work is important to determine the optimal placement of actuators.

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Section: Analytical Discussionmentioning

confidence: 99%

Section: Methods Of Reducing Out-of-plane Thermal Deformationmentioning

confidence: 99%

Section: Cfrp Reflector Modelmentioning

confidence: 99%

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Thermal deformation generated on a CFRP laminated reflector

Tanaka

Ikeda

Senba

2016

Mechanical Engineering Journal

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“…10) In addition, a finite-element analysis was performed in a previous study, and the error in the fiber orientation angle when laminating prepregs was found to be a significant cause of the out-of-plane thermal deformation of CFRP reflectors. 11) The authors of the previous study also investigated the suppression of a representative mode of the out-of-plane thermal deformation of a CFRP reflector model due to fiber orientation errors by applying ex-ternal forces with linear actuators. 12) However, the essence of the out-of-plane thermal deformation of CFRP reflectors due to fiber orientation errors, such as the magnitude of deformation and frequency of mode occurrence, was not discussed.…”

Section: Introductionmentioning

confidence: 99%

Quantitative Investigations on the Dimensional Stability of a CFRP Reflector Model against Temperature Variations

Tanaka

Arai

Goto

et al. 2019

Trans. Japan Soc. Aero. S Sci.

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Carbon fiber reinforced plastic (CFRP) exhibits high specific elasticity and a low coefficient of thermal expansion. Therefore, CFRP is considered to be a suitable material for fabricating reflectors for high-precision, space-based astronomical observation systems. However, non-negligible out-of-plane thermal deformation on CFRP reflectors may occur due to errors in the fiber orientation of each layer. In addition, out-of-plane thermal deformation can be generated because of nonuniform temperature conditions even when no fiber orientation error exists. In this study, the out-of-plane thermal deformation of a CFRP reflector model due to normally distributed fiber orientation errors was probabilistically examined, and methods to mitigate the effect of fiber orientation errors were investigated. The Monte Carlo method was used for analysis. The results demonstrated that increasing the number of layers using thin prepregs was found to be an effective method to mitigate not only the effect of fiber orientation errors, but also out-of-plane thermal deformation modes caused by nonuniform temperature distributions. Furthermore, it was found that the stacking sequence should be appropriately determined to reduce the effect of fiber orientation errors.

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“…Due to the development of the non-contact ion beam optical fabrication method, CFRP mirror processing is no longer a challenge. Researchers from Europe and the United States have already studied on the lightweight of the CFRP mirror for many years [2][3][4][5][6][7][8][9]. Composite Optics, lnc.…”

Section: Introductionmentioning

confidence: 99%

Design and optimization of the CFRP mirror components

2017

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As carbon fiber reinforced polymer (CFRP) material has been developed and demonstrated as an effective material in lightweight telescope reflector manufacturing recently, the authors of this article have extended to apply this material on the lightweight space camera mirror design and fabrication. By CFRP composite laminate design and optimization using finite element method (FEM) analysis, a spherical mirror with 316 mm diameter whose core cell reinforcement is an isogrid configuration is fabricated. Compared with traditional ways of applying ultra-low-expansion glass (ULE) on the CFRP mirror surface, the method of nickel electroplating on the surface effectively reduces the processing cost and difficulty of the CFRP mirror. Through the FEM analysis, the first order resonance frequency of the CFRP mirror components reaches up to 652.3 Hz. Under gravity affection coupling with +5℃ temperature rising, the mirror surface shape root-mean-square values (RMS) at the optical axis horizontal state is 5.74 nm, which meets mechanical and optical requirements of the mirror components on space camera.

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Sensitivity analysis of thermal deformation of CFRP laminate reflector due to fiber orientation error

Cited by 14 publications

References 6 publications

Thermal deformation generated on a CFRP laminated reflector

Thermal deformation generated on a CFRP laminated reflector

Quantitative Investigations on the Dimensional Stability of a CFRP Reflector Model against Temperature Variations

Design and optimization of the CFRP mirror components

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