| 热声网络的辛对称特征 |
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| 引用本文： | 杨志春,吴锋,郭方中,张春萍. 热声网络的辛对称特征[J]. 物理学报, 2011, 60(8): 84303-084303. DOI: 10.7498/aps.60.084303 |
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| 作者姓名： | 杨志春 吴锋 郭方中 张春萍 |
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| 作者单位： | 1. 海军工程大学研究生院,武汉 430033;2. 武汉工程大学理学院,武汉 430073;3. 华中科技大学能源与动力工程学院,武汉 430074 |
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| 基金项目： | 国家自然科学基金(批准号:50676068)和湖北省教育厅科研计划重点项目(批准号:D200615002)资助的课题. |
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| 摘 要： | 将辛数学引入热声系统网络模型的处理,通过对热声系统网络传输矩阵的分析,证明系统中等温流体管道内工质运动的传输矩阵为辛矩阵.存在温度梯度的热声回热器中气体工质微团的传输矩阵不是辛矩阵,但是可以通过变量代换将传输矩阵转换为辛矩阵,使整个热声系统网络传输都可用辛矩阵传输来表示.辛对称的形式有助于热声系统网络模型的分析与计算.关键词：辛热声网络模型传输矩阵
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| 关 键 词： | 辛 热声 网络模型 传输矩阵 |
| 收稿时间： | 2010-09-27 |
Symplectic symmetry feature of thermoacoustic network |
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| Yang Zhi-Chun,Wu Feng,Guo Fang-Zhong and Zhang Chun-Ping. Symplectic symmetry feature of thermoacoustic network[J]. Acta Physica Sinica, 2011, 60(8): 84303-084303. DOI: 10.7498/aps.60.084303 |
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| Authors: | Yang Zhi-Chun Wu Feng Guo Fang-Zhong Zhang Chun-Ping |
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| Affiliation: | Graduate School, Naval University of Engineering, Wuhan 430033, China; School of Science, Wuhan Institute of Technology, Wuhan 430073, China;Graduate School, Naval University of Engineering, Wuhan 430033, China; School of Science, Wuhan Institute of Technology, Wuhan 430073, China;School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | Symplectic mathematics is introduced into the thermoacoustic network model. The transferring matrix of thermoacoustic system is analyzed, and the transferring matrix of working gas in isothermal fluid pipe of thermoacoustic system is a symplectic matrix. The transferring matrix of working gas in regenerator of thermoacoustic system is not a symplectic matrix, but it can be converted into a symplectic matrix by variable transformation. With variable transformation, the whole transferring matrix of thermoacoustic system can be represented by a symplectic matrix. The form of symplectic matrix is conducible to analyzing and calculating the thermoacoutic network model. |
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| Keywords: | symplectic thermoacoustic network model transferring matrix |
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