Abstract: A traditional lumpedmass model for the boom shipmounted crane is established in this paper. The nonlinear dynamic equation is presented using the EulerLagrange method. Then the nonlinear dynamic behavior of the cable is analyzed numerically, and the impact of some key parameters on the cargo pendulum is studied. Results of this study are of significance for the operation of shipmounted cranes.

Key words: vibration and wave, vibration analysis, boom shipmounted crane, EulerLagrange method, numerical analysis

摘要： 对吊杆式船载起重机建立传统集中质量数学模型，利用拉格朗日—欧拉法推导出该模型非线性动力学方程，利用数值分析技术，结合船载起重机的自身参数进行吊绳的非线性动力学分析，研究关键参数对货物振动的影响，研究工作对起重机的操纵有着参考意义。

关键词: 振动与波, 振动分析, 吊杆式船载起重机, 拉格朗日—欧拉法, 数值分析