弹性地基上矩形贮液结构的液-固耦合振动特性  

VIBRATION CHARACTERISTIC ANALYSIS OF RECTANGULAR LIQUID-STORAGE STRUCTURES CONSIDERING LIQUID-SOLID COUPLING ON ELASTIC FOUNDATION

作　　者：程选生[1] 杜永峰[1] 

机构地区：[1]兰州理工大学土木工程学院,兰州730050

出　　处：《工程力学》2011年第2期186-192,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(50778077);兰州理工项目博士基金项目(SB04200802);兰州理工大学优秀青年教师培养计划项目(Q200809);甘肃省建设厅科技攻关项目(JK2008-28);甘肃省教育厅科技攻关项目(0803-10)

摘　　要：针对无旋、无粘和不可压缩的理想液体,根据Winkler弹性地基上矩形贮液结构的液-固耦合振动分析模型,通过引入无量纲参数建立了矩形贮液结构的液-固耦合系统的振动方程。为简化计算,根据梁的振型函数和频率方程,将三维问题转化为一维问题来处理,利用振型函数的正交性求解了Winkler弹性地基上矩形贮液结构的液-固耦合振动频率。最后,为便于工程应用,结合工程实际讨论了无量纲参数对矩形贮液结构液-固耦合振动频率的影响,从而为以后工程结构中矩形贮液结构的设计计算提供了理论依据。In connection with the irrotational,inviscid and incompressible ideal liquid,and according to a liquid-solid coupling vibration analysis model of rectangular liquid-storage structures on a Winkler elastic foundation,the vibration equation of rectangular liquid-storage structures considering liquid-solid coupling is established by introducing dimensionless parameters.In order to simplify the calculation,the three-dimension problem is transformed into the one-dimension by the mode shape function and frequency equation of a beam.The liquid-solid coupling vibration frequency of rectangular liquid storage structures on the Winkler elastic foundation is obtained through using the orthogonality of vibration mode functions.Finally,for the convenience of engineering application,the influence of dimensionless parameters on the liquid-solid coupling vibration frequency of rectangular liquid-storage structures is discussed considering engineering practice.Thusly,the theory base about the design calculation of the rectangular liquid-storage structures is provided for corresponding engineering structures.

关 键 词：弹性地基 矩形 贮液结构 弹性底板 液-固耦合 振动特性 

分 类 号：TU357[建筑科学—结构工程] TU311.3