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剪切变形和转动惯量对弹性地基梁结构体系动力特性的影响
The effect of shear deformation and rotatory inertia on the dynamic characters of an elastic foundation beam
【Author】 WEI Hong-gang~1,QI Cheng-zhi~1,YANG Xiu-ren~2 (1.Beijing Research Center of Engineering Structures and New Materials,Beijing University of Civil Engineering and Architecture,Beijing,100044,China; 2.Beijing Urban Engineering Design & Research Institute Co.,LTD,Beijing 100037)
【机构】 北京建筑工程学院,北京市工程结构与新材料工程研究中心; 北京城建设计研究总院有限责任公司;
【摘要】 研究了剪切变形和转动惯量对简支梁频率的影响,讨论了不同高跨比下Timoshenko梁自振频率与Euler梁自振频率比的规律。讨论简谐荷载作用下,剪切变形和转动惯量对梁结构内力的影响。研究表明,相对于惯性的影响,梁剪切变形对于梁的动力响应影响更大,在高跨比较大的梁的设计中应该考虑剪切变形的影响。
【Abstract】 The influence of shear deformation and rotatory inertia on the frequencies of the simple supported beam is studied,the variation of the raio of frequencies of Timoshenko beam to the freaquencies of Euler beam in dependence of height / span ratios is discussed.We also studied the influence of the shear deformation and rotatory inertia on the internal forces.It is concluded that shear deformation has more influence than rotatory inertia on dynamic response of beam,attention should be paid to the influence of shearing deformation when designing the beam with large height /span ratios.
【Key words】 shear deformation; rotatory inertia; frequencies; internal forces;
- 【会议录名称】 第3届全国工程安全与防护学术会议论文集
- 【会议名称】第3届全国工程安全与防护学术会议
- 【会议时间】2012-11-16
- 【会议地点】中国湖北武汉
- 【分类号】TU311.3
- 【主办单位】中国工程院土木、水利与建筑工程学部、中国岩石力学与工程学会安全与防护分会