非线性流体弹性力学研究进展

流体弹性力学理论是用来描述液体、气体的运动与弹性结构相互作用的学科.由于其交叉性质, 涉及到人类日常生活中的方方面面,致使在许多学科和工程领域中都成了主要的研究内容,并得到了广泛地应用.本文在阐述研究流体与弹性体相互作用的非线性问题的重要意义及分类方法的基础上,介绍了非线性流体弹性力学的特征、研究现状和非线性问题的研究方法,如理论分析法、实验分析法、数值分析法和半解析法等的进展;介绍了描述介质相互作用的任意拉格朗日-欧拉(ALE)法、相容拉格朗日-欧拉(ULE)法、单一拉格朗日(SL)法和单一欧拉(SE)法之间的关系,并且对这些研究方法的优缺点进行了比较;介绍了非线性流体弹性力学研究的内容和在气动弹性力学、水弹性力学、环境流体弹性力学、微尺度流体弹性力学和涡激振动等领域中的应用;阐述了非线性流体弹性力学的发展前景和所面临的任务. 

ADVANCES IN NONLINEAR HYDROELASTICITY

The theory of hydroelasticity is an important branch of learning for describing the interaction between liquid, gas and elastic structure. It concerns nearly every part of daily life because of its multi-disciplinary nature, and becomes the main research object in many engineering fields. Based on the significance and classification method of the nonlinear problem about fluid-elasticity interaction, the characteristics, state of research and research methods of nonlinear hydroelasticity are presented, covering the analytical methods, experiment methods, numerical methods and semi-analytical methods, etc. Relationship among the methods used to describe the medium interaction, chiefly the arbitrary Lagrangian-Eulerian method, united Lagrangian-Eulerian method, single Lagrangian method and single Eulerian method, are discussed, together with comparisons of their relative advantages and disadvantages. Contents of the nonlinear hydroelasticity and its applications to aeroelasticity, hydroelasticity, entironment hydroelasticity, micro-scale hydroelasticity and vortex induced vibration are intruduced, and task and development tendency of the nonlinear hydroelasticity are presented.