| 哈密顿体系下燃气轮机动态过程的理论和应用研究 |
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| 引用本文： | 王永泓,翁史烈,周钢,孙薇荣,刘晓梅.哈密顿体系下燃气轮机动态过程的理论和应用研究[J].工程热物理学报,2011(10):1655-1660. |
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| 作者姓名： | 王永泓 翁史烈 周钢 孙薇荣 刘晓梅 |
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| 作者单位： | 上海交通大学机械与动力工程学院;上海交通大学数学系; |
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| 基金项目： | 国家自然科学基金资助项目(No.50876066) |
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| 摘 要： | 本文将燃气轮机动态过程问题从牛顿力学体系框架向哈密顿体系推进与转化。文中按哈密顿原理建立了一套新的形式完整的燃气轮机动态数学模型,该模型适用于由对偶变量组成的辛几何空间中用辛算法求解。研究中首次揭示出了（动态过程中）对偶变量之间的内在联系,挖掘出传统方法无法认识到的动态规律（能量守恒的新规律）,并进而可辐射到其它热力系...
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| 关 键 词： | 哈密顿原理 能量守恒 辛几何算法 |
Research on Theory and Application of Danamic Process of Gas Turbine Engines Under Hamiton Systems |
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| WANG Yong-Hong WENG Shi-Lie ZHOU Gang SUN Wei-Rong LIU Xiao-Mei.Research on Theory and Application of Danamic Process of Gas Turbine Engines Under Hamiton Systems[J].Journal of Engineering Thermophysics,2011(10):1655-1660. |
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| Authors: | WANG Yong-Hong WENG Shi-Lie ZHOU Gang SUN Wei-Rong LIU Xiao-Mei |
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| Institution: | WANG Yong-Hong~1 WENG Shi-Lie~1 ZHOU Gang~2 SUN Wei-Rong~2 LIU Xiao-Mei~1 (1.School of Mechanical Engineering,Shanghai Jiaotong University Shanghai 200240,China,2.Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China) |
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| Abstract: | The problems in gas turbine dynamic process are evolved and transferred from Newtonian mechanics framework to Hamiltonian system.A novel and complete set of dynamic mathematic models for gas turbine is established based on Hamilton's principle that matches symplectic algorithm in symplectic geometry space which is formed by the dual variables.The intrinsic relation between the dual variables is revealed for the first time and the dynamic rule that cannot be found through traditional methods is dug out and t... |
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| Keywords: | Hamilton's principle energy conservation symplectic geometric algorithm |
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