摘要
对含表面裂纹简支梁在大幅振动下的几何非线性进行了理论分析,从建立了梁的非线性振动的半解析解.用Rayleigh方法将振型函数表示为线性模型振型函数的组合,建立了梁非线性振动的第一阶振型函数的显式表达式,数值模拟计算了不同的裂纹深度和给定不同第一函数系数a1对梁最大位移的影响.建立的显式方程简单,易于工程应用.
This paper theoretically investigatied the geometrically non-linear free vibrations of a simply supported beam containing an open crack under large vibration amplitudes,and established a semi-analytical solution about the beam of non-linear vibrations.Using the combined mode functions of line model to express the mode functions based on the Rayleigh method,the first mode explicit expression of non-linear vibrations was established.The effects of various crack depth and the assigned different first function contribution a1 on the maximum displacements of the crack beam were numerically simulationed.An explicit solution is simple and ready to use for engineering applications.
出处
《动力学与控制学报》
2010年第2期177-181,共5页
Journal of Dynamics and Control
关键词
裂纹梁
几何非线性
固有频率
非线性振型
crack beam
geometrically non-linear
natural frequency
non-linear vibration of shape
