Pareto-based Multi-objective Optimization of Focusing X-Ray Pulsar Telescope and Multi-physics Coupling Analysis

doi:10.3901/JME.2018.23.174

Abstract

Abstract: In order to improve the detecting performance of focusing X-ray pulsar telescope (FoXPT), a multi-objective optimization method and multi-physics coupling analysis is proposed. The multi-objective optimization method of FoXPT is based on X-ray full reflection theory, which aims at minimizing the weight and sensitivity. A set of Pareto-optimal resolutions are obtained with a modified Pareto approach. Meanwhile, the structural-thermal coupling equation is formulated based on the elasticity mechanics, heat exchange and radiation theories. The selected Pareto optimization solution is taken as the input data to construct 3D model and finite element analysis model, the stress and displacement of FoXPT have been obtained accordingly. With the deformations of each mirror, a new profile of each nested mirror can be reconstructed based on high order polynomial function, and also the fitted error will be implemented sequentially. Then, the focusing performance analysis of reformulated deformed mirrors is evaluated by the Monte Carlo optical tracing method, which enables effective integration of the multi-objective optimization and multi-physics coupling analysis. The results show that when the number of nested Wolter-I mirror layers equals to 17, both the optimal solutions of weight and sensitivity are obtained simultaneously, which are 3.112 kg and 6.15×10^-4 phs/cm²/s/keV respectively. Structural-optical-thermal coupling simulation shows that the maximum stress is 262.54 MPa, and the focusing efficiency improves up to 86.83%, both of which meet engineering design requirements. *

Key words: focusing telescope, multi-objective optimization, multi-physics coupling analysis, Pareto, X-ray pulsar

CLC Number:

TH122
O213

LI Liansheng, DENG Loulou, MEI Zhiwu, LÜ Zhengxin, LIU Jihong. Pareto-based Multi-objective Optimization of Focusing X-Ray Pulsar Telescope and Multi-physics Coupling Analysis[J]. Journal of Mechanical Engineering, 2018, 54(23): 174-184.

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