悬臂Rayleigh梁横向振动固有频率OA
Natural Frequencies of Transverse Vibration of Cantilever Rayleigh Beams
在Euler-Bernoulli梁基础上考虑转动惯量,研究悬臂梁的横向振动问题.采用广泛适用的积分方程方法求解该问题,求出悬臂梁自由振动特征方程的近似解,获得悬臂梁振动固有频率的数值解答.积分方程方法与应力函数法、瑞兹法所得数值结果进行对比,表明了该方法的有效性.
Considering the rotary inertia based on the Euler-Bernoulli beams,the transverse vibration of a cantilever beam is studied.The widely applicable integral equation method is employed to obtain the approximate solutions of characteristic equation and then the natural frequencies of a cantilever beam.Comparison of the numerical solutions obtained through integral equation method,stress function method,and ritz method shows the effectiveness of the integra…查看全部>>
唐安烨;王子国
吉首大学城乡资源与规划学院,湖南 张家界 427000吉首大学城乡资源与规划学院,湖南 张家界 427000
数理科学
悬臂Rayleigh梁横向振动固有频率积分方程
cantilever Rayleigh beamtransverse vibrationnatural frequencyintegral equation
《吉首大学学报（自然科学版）》 2017 (2)
21-26,6
吉首大学校级科研项目(15JD008)
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