Study on Dynamic Characteristics of Elastic Supported Arch Structures(PDF)
《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]
- Issue:
- 2015年02期
- Page:
- 77-83
- Research Field:
- Publishing date:
Info
- Title:
- Study on Dynamic Characteristics of Elastic Supported Arch Structures
- Author(s):
- KANG Ting; BAI Ying-sheng; WANG Dong; YANG Hui; SUN Hui-xiang
- School of Aeronautics and Astronautics Engineering, Air Force Engineering University
- Keywords:
- structure engineering; dynamic characteristic; Hamilton principle; elastic support; arch structure; stiffness coefficient
- PACS:
- -
- DOI:
- -
- Abstract:
- The displacement mode shape function of the arch free vibration was simulated with a linear combination of cubic Bspline. The vibration frequency equation of the elastic supported arch structures was derived according to Hamilton principle, in which the additional inertia force of the lumped mass at the arch foot was taken into account. The influences of the vertical and rotational elastic supports on the dynamic characteristics of arch structure were studied. The concept of the vertical critical stiffness coefficient was put forward. The study results show that the vertical elastic supports decrease the natural frequency, and the influence is biggest when the risespan ratio is about 0.1. Meanwhile, the vibration mode sequence characteristics change. As the stiffness of the vertical elastic supports is same with the vertical critical stiffness coefficient, the natural frequency and the second frequency is almost equal. If the vertical support stiffness coefficient is less than the critical stiffness coefficient, the first vibration mode of structure is symmetrical, and the second vibration mode is antisymmetric. The vibration mode sequence characteristics are different from those of the arch with rigid supports. If the vertical support stiffness coefficient is greater than the critical stiffness coefficient, the first vibration mode is antisymmetric, while the second vibration mode is symmetrical. The vibration mode sequence characteristics are same with those of the arch with rigid supports. The rotational elastic supports will decrease the natural frequency of the arch structure, but will not change its vibration mode sequence characteristics.
Last Update: 2015-03-31