哈密顿体系下燃气轮机动态过程的理论和应用研究  

Research on Theory and Application of Danamic Process of Gas Turbine Engines Under Hamiton Systems

作　　者：王永泓[1] 翁史烈[1] 周钢[2] 孙薇荣[2] 刘晓梅[1] 

机构地区：[1]上海交通大学机械与动力工程学院,上海200240 [2]上海交通大学数学系,上海200240

出　　处：《工程热物理学报》2011年第10期1655-1660,共6页Journal of Engineering Thermophysics

基　　金：国家自然科学基金资助项目(No.50876066)

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统。本成果为燃气轮机热力系统从牛顿体系向哈密顿体系的更新换代做出基础性贡献,哈密顿新体系的提出将使我国热力系统动态学的理论和实践提到一个新的高度。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 thus can be spread to other thermal system.The results are a fundamental contribution for upgrading of gas turbine dynamics from Newtonian system to Hamiltonian system.The dynamics theory and practice in thermodynamic system will be lifted to a new level by Hamiltonian system in dynamics process presented in the paper.There are none similar study yet all over the world.

关 键 词：哈密顿原理 能量守恒 辛几何算法 

分 类 号：TK14[动力工程及工程热物理—热能工程]