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综合运用刚度等效原理、质量等效原理、集中参量等思想将水平杆处理为由阶梯梁、集中质量、无质量曲梁结构按一定顺序相互固结而成的等效连续介质模型。在该模型的基础上运用多体系统传递矩阵法对摆杆系统进行自振特性的相关计算。计算结果与试验结果基本吻合,验证了等效模型的适用性和自振特性算法的正确性。
Based on the theory of stiffness equivalence, mass equivalence principle and lumped parameter, the horizontal bar is treated as an equivalent continuous medium model which is composed of ladder beam, concentrated mass and massless curved beam structure in a certain order. On the basis of the model, the correlation calculation of the natural vibration characteristics of the pendulum system is carried out by using the multi-body system transfer matrix method. The calculated results agree well with the experimental results, which verify the applicability of the equivalent model and the correctness of the self-vibration characteristic algorithm.