摘要
利用细长梁的小挠度理论,建立了两端埋设在线弹性土壤中的含轴向力的悬跨管道自由振动方程。基于埋设段的刚度约束特性,建立了悬跨段管道的边界条件。解析求解得到了悬跨段管道频率方程,数值求解了不同土壤刚度和轴向力条件下悬跨段管道的固有频率。研究表明:悬跨段管道振动特性取决于轴向力系数和土壤刚度系数,工程上推荐使用的简支梁和两端固支梁模型只在几个特殊参数点上适用,建议采用该方法进行悬跨管道振动分析。
The Free vibration equation of a spanning pipeline buried in linear elastic soil is built with small deflection beam theory.Based on the stiffness characteristic of the buried segment,the boundary condition of the spanning segment is presented.The frequency equation of the spanning pipeline is achieved analytically,and the natural frequency of the spanning pipeline under different soil stiffness and axial forces is obtained numerically.The research shows that the vibration characteristic of the spanning pipeline is related to the axial force coefficient and soil stiffness coefficient.A beam of fixed supports at both ends and a simply supported beam model recommended in present rules are available for the spanning pipe only in several special cases.For the vibration analysis of spanning pipelines,the present model is suggested.
出处
《工程力学》
EI
CSCD
北大核心
2010年第3期193-197,共5页
Engineering Mechanics
基金
天津工业大学科研开发基金项目(029519)
教育部先进纺织复合材料重点试验室开放基金项目(2007ATC001)
关键词
悬跨管道
弹性地基梁
埋设悬跨
小挠度理论
固有频率
spanning pipe
elastic foundation beam
buried spanning pipe
small deflection theory
natural frequency
