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偏心布筋曲梁振动微分方程推导和求解 被引量:1

Derivation and Solution of Vibration Differential Equation of the Curved Beam with Eccentric Reinforce
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摘要 为研究预应力筋偏心距和半径等参数对曲梁振动特性的影响,以自由振动状态下的曲梁微段为研究对象,考虑偏心布筋产生的初始曲率对振动的影响,推导了偏心布筋曲梁振动偏微分方程,并求解方程得到了简支曲梁面内振动1阶频率理论计算公式;最后通过实例分析验证了所提理论公式的正确性。 In order to study the influence of tendon eccentricity and radius on the vibration characteristics of the curved beam, the differential equation of the vibration of the prestressed curved beam considering the influence of initial curvature on vibration was derived by analyzing the micro section of the curved beam under the condition of free vibration. Then the theoretic calculation formula of the first order natural frequency vibration of the eccentric reinforcement simply supported curved beam was deduced by solving the equation. Finally, the correctness of the proposed theoretic formula was verified by the case study.
出处 《重庆交通大学学报(自然科学版)》 CAS 北大核心 2017年第7期15-20,共6页 Journal of Chongqing Jiaotong University(Natural Science)
基金 交通运输部建设科技项目(2013318791440) 重庆广播电视大学重点基金项目(ZD2015-02)
关键词 桥梁工程 曲梁 偏心布筋 初始曲率 自振频率 bridge engineering curved beam eccentric reinforce initial curvature natural frequency of vibration
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