非线性弹性地基梁在随动载荷作用下的屈曲和振动
发布时间：2018-08-26 13:33
【摘要】：基于可伸长梁的几何非线性理论,建立了非线性弹性地基上梁在随动载荷作用下的屈曲问题和振动问题控制方程,分别采用打靶法分析了弹性地基梁的后屈曲行为以及后屈曲构形上的振动问题。给出了不同非线性弹性地基系数下,梁在随动载荷作用下的过屈曲平衡路径曲线以及过屈曲附近前三阶频率随载荷变化的曲线。研究表明:立方刚度系数K_2对梁的屈曲和振动影响较小,而线性刚度系数K_1对梁的过屈曲性态和固有频率都有影响。
[Abstract]:Based on the geometric nonlinear theory of elongated beams, the governing equations of buckling and vibration of beams on nonlinear elastic foundations under dynamic loads are established. The post-buckling behavior of beams on elastic foundations and the vibration of post-buckling configurations are analyzed by shooting method respectively. The results show that the cubic stiffness coefficient K_2 has little influence on the buckling and vibration of the beam, while the linear stiffness coefficient K_1 has influence on the post-buckling behavior and natural frequency of the beam.
【作者单位】： 兰州理工大学理学院;
【基金】：国家自然科学基金(11272278;11262010) 甘肃省自然科学基金(1212RJZA028)
【分类号】：O342
本文编号：2205015
[Abstract]:Based on the geometric nonlinear theory of elongated beams, the governing equations of buckling and vibration of beams on nonlinear elastic foundations under dynamic loads are established. The post-buckling behavior of beams on elastic foundations and the vibration of post-buckling configurations are analyzed by shooting method respectively. The results show that the cubic stiffness coefficient K_2 has little influence on the buckling and vibration of the beam, while the linear stiffness coefficient K_1 has influence on the post-buckling behavior and natural frequency of the beam.
【作者单位】： 兰州理工大学理学院;
【基金】：国家自然科学基金(11272278;11262010) 甘肃省自然科学基金(1212RJZA028)
【分类号】：O342
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1 田千里;考虑剪切反力之弹性地基梁[J];力学与实践;1979年02期
2 袁祥忠,梁政;弹性地基梁的一种解法[J];力学与实践;1984年04期
3 ;[J];;年期
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