刚-弹-液耦合动力学的功能型拟变分原理  

Quasi variational principle of the rigid-elastic-liquid coupling dynamics

作　　者：冯晓九[1] 梁立孚[2] 宋海燕[2] 

机构地区：[1]常州大学环境与安全工程学院,常州213164 [2]哈尔滨工程大学航天与建筑工程学院,哈尔滨150001

出　　处：《中国科学：技术科学》2016年第2期195-203,共9页Scientia Sinica(Technologica)

基　　金：国家自然科学基金(批准号:10272034)资助项目

摘　　要：随着火箭运载能力、卫星工作寿命和深空探测器任务复杂度的不断提高,液体推进剂占航天器总质量的比例也不断增加,充液系统动力学成为理论界关注的课题.本文在以往研究的基础上,应用功能转换原理和能量守恒定律,建立了充液系统刚-弹-液耦合动力学的功能型拟变分原理.通过推导拟驻值条件,建立了刚-弹-液耦合动力学的控制方程.本文对刚-弹-液耦合动力学的功能型拟变分原理在有限元素法中的应用进行了研究,为大规模液固耦合模型建模计算的应用研究提供了理论支持.With the increase of the capacity of launch vehicles, the lifespan of satellites and the complexity of deep space missions increase, the mass proportions of liquid propellant in spacecrafts are enhanced accordingly. Liquid-filled system dynamics is an universal concerned topic in theoretical field. Based on previous researches, quasi-variational principle of rigid-elastic-liquid coupling dynamics in liquid-filled system is established by the work-energy transfer principle and the energy conservation law. Governing equations are obtained by deriving quasi-stationary value conditions of quasi-variational principle of rigid-elastic-liquid coupling dynamics. The applications of quasi-variational principle of rigid-elastic-liquid coupling dynamics in the finite element method are studied, which provide theoretical supports for the applications of modeling and calculation in large scale fluid-structural coupling models.

关 键 词：刚-弹-液耦合动力学 拟变分原理 有限元素法 

分 类 号：V41[航空宇航科学与技术—航空宇航推进理论与工程]