梁结构物理参数识别的谱单元方法

IDENTIFICATION OF PHYSICAL PARAMETERS IN BEAM STRUCTURES BASED ON SPECTRAL ELEMENT METHOD

  • 摘要: 采用谱单元方法推导带阻尼梁的传递函数矩阵. 采用一维连续梁的解析解作为动力形状函数. 与有限元法相比,谱单元方法的自由度和单元数目小且计算精度高. 传递函数表示为梁的几何和物理参数的超越隐函数,不同于用模态参数表示的传统传递函数. 提出了采用遗传算法的结构物理参数识别方法. 以变截面悬臂梁为数值算例,显示该方法的有效性.

     

    Abstract: The transfer function matrix of a beam with damping isderived by means of spectral element method (SEM). The analytical solutionfor a one-dimensional beam is applied in the form of shape functions in continuousform. Compared to the finite element method, the spectral element methodcan be used to obtain high precision with less degrees of freedom and elements.The proposed transfer function is represented by the transcendental functionwith geometrical and physical parameters of the beam, and is different fromthe traditional transfer function, represented by modal parameters. A newmethod to identify physical parameters of a beam structures based on thegenetic algorithm is proposed. Two numerical examples of cantilever beamswith varying cross section are given to show the effectiveness of theproposed method.

     

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