索桁架组合体系的固有振动能量变分解  

Energy variational solution for the nature vibration of the cable-trusses combination system

作　　者：张文福[1,2] 杜娟[1,2] 刘迎春[1,2] 李琛 任亚文[1,2] 

机构地区：[1]东北石油大学防灾减灾工程及防护工程省高校重点实验室,黑龙江大庆163318 [2]东北石油大学土木建筑工程学院,黑龙江大庆163318

出　　处：《东北石油大学学报》2013年第5期103-108,133,共7页Journal of Northeast Petroleum University

基　　金：国家自然科学基金项目(51178087);黑龙江省教育厅重点项目(12511z004)

摘　　要：索桁架组合体系与普通梁板结构不同,需要考虑索力增量,振动特性较为复杂.首先,采用Timoshenko梁的连续化模型模拟桁架梁,推导桁架梁的等代抗弯刚度;采用能量变分法,分析索桁架组合体系固有振动,给出索桁架组合体系竖向振动频率解析解;分析770m跨度索桁架组合体系、900m跨度索桁架组合体系和1 200m跨度索桁架组合体系,与有限元ANSYS分析结果对比,误差在10%以内.该方法公式较简单、精度较高,可为索桁架组合体系的工程设计提供参考.Cable-trusses combination system are different from the ordinary flat-slab structure,due to the influence of the cable force increment,the vibration characteristics of cable-trusses combination system are more complex.Firstly we adopted the continuous Timoshenko beam model to simulate the truss grider,the equivalent bending stiffness is obtained,and based on the energy variational method,we analyzed the nature vibration of the cable-trusses combination system,the analytical solutions of vertical vibration frequency of the cable-trusses combination system can be given.Nature vibration analysis of cable-trusses combination system of 770m,900m,1 200mhave been studied with presented method.The comparison with the results of finite element method is given out.The error is less than 10percent in general.It indicates that this method is not only simpler but also of higher accuracy.The analytical solutions of energy variational method can be used as a reference for engineering design of the cable-trusses combination system.

关 键 词：固有振动 能量变分法 索桁架组合体系 TIMOSHENKO梁 有限元 

分 类 号：TE55[石油与天然气工程—油气田开发工程]