针对2 m SiC反射镜在地基望远镜中的应用,结合SiC反射镜热膨胀系数大、重量轻的特点,设计了柔性被动支撑系统。该系统底支撑whiffletree结构中的支撑杆采用柔性细杆,侧支撑杆采用柔性铰链结构,从而使底支撑系统和侧支撑系统分别起支撑作...针对2 m SiC反射镜在地基望远镜中的应用,结合SiC反射镜热膨胀系数大、重量轻的特点,设计了柔性被动支撑系统。该系统底支撑whiffletree结构中的支撑杆采用柔性细杆,侧支撑杆采用柔性铰链结构,从而使底支撑系统和侧支撑系统分别起支撑作用,不但保证了主镜良好的位置误差和形状误差还很好地消除了装配应力和热应力。对在支撑系统作用下反射镜进行了静力学分析、热力学分析和模态分析,并通过面形检测和主镜倾斜与平移检测验证了分析结果。检测显示:反射镜面形(RMS)达到λ/40(光轴竖直)和λ/16(光轴水平),主镜指向不同俯仰角时最大倾斜变化量为8″,偏心为0.070 7mm,基本与分析结果吻合,达到了设计要求,表明这种柔性支撑系统具有很好的工程应用能力。展开更多
We investigate the construction of two-direction tight wavelet frames First, a sufficient condition for a two-direction refinable function generating two-direction tight wavelet frames is derived. Second, a simple con...We investigate the construction of two-direction tight wavelet frames First, a sufficient condition for a two-direction refinable function generating two-direction tight wavelet frames is derived. Second, a simple constructive method of two-direction tight wavelet frames is given. Third, based on the obtained two-direction tight wavelet frames, one can construct a symmetric multiwavelet frame easily. Finally, some examples are given to illustrate the results.展开更多
文摘针对2 m SiC反射镜在地基望远镜中的应用,结合SiC反射镜热膨胀系数大、重量轻的特点,设计了柔性被动支撑系统。该系统底支撑whiffletree结构中的支撑杆采用柔性细杆,侧支撑杆采用柔性铰链结构,从而使底支撑系统和侧支撑系统分别起支撑作用,不但保证了主镜良好的位置误差和形状误差还很好地消除了装配应力和热应力。对在支撑系统作用下反射镜进行了静力学分析、热力学分析和模态分析,并通过面形检测和主镜倾斜与平移检测验证了分析结果。检测显示:反射镜面形(RMS)达到λ/40(光轴竖直)和λ/16(光轴水平),主镜指向不同俯仰角时最大倾斜变化量为8″,偏心为0.070 7mm,基本与分析结果吻合,达到了设计要求,表明这种柔性支撑系统具有很好的工程应用能力。
基金Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant No. 11071152）, the Natural Science Foundation of Guangdong Province （Grant No. $2011010004511） Education Department of Henan Province and the Science and Technology Research of （Grant No. 14B520045）.
文摘We investigate the construction of two-direction tight wavelet frames First, a sufficient condition for a two-direction refinable function generating two-direction tight wavelet frames is derived. Second, a simple constructive method of two-direction tight wavelet frames is given. Third, based on the obtained two-direction tight wavelet frames, one can construct a symmetric multiwavelet frame easily. Finally, some examples are given to illustrate the results.
