【作者】 陈松豪； 朱翔； 李天匀； 陈树鑫； 张成；

【Author】 CHEN Song-hao;ZHU Xiang;LI Tian-yun;CHEN Shu-xin;ZHANG Cheng;School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology;Hubei Key Laboratory of Naval Architecture and Ocean Engineering Hydrodynamics (HUST);Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE);

【机构】 华中科技大学船舶与海洋工程学院； 船舶和海洋水动力湖北省重点实验室； 高新船舶与深海开发装备协同创新中心；

【摘要】 为研究船舶设备与穿插甲板多层的筒型基座构成的耦合系统的振动特性,将耦合系统简化为端部带集中质量的多跨梁模型,并采用半解析法进行振动模态求解。首先利用改进的傅里叶级数形式构造多跨梁的弯曲位移型函数,并用平动弹簧和扭转弹簧模拟筒型基座受到周围甲板结构约束时的弹性边界条件,通过改变弹簧的刚度来模拟任意边界条件。结合能量原理和瑞利-里兹法建立耦合系统的动力学方程,将自由振动问题转换为求解矩阵特征值和特征向量问题。将理论分析结果和有限元法结果进行对比,验证了所提方法的可行性和准确性。本文提出的简化建模和振动分析方法对工程耦合系统振动分析具有一定参考价值。更多还原

【Abstract】 In order to study the vibration characteristics of the coupling system composed of ship equipment and cylindrical foundation with multiple layers of decks, the coupling system is simplified into the multi-span beam with centralized quality,and use a semi-analytic method to solve the vibration mode. First, a new improved Fourier series form is constructed to represent the bending displacement function of the multi-span beam, and the elastic boundary conditions of the cylindrical foundations constrained by the surrounding deck structure are simulated by using the translational and torsional springs. The various boundary conditions are realized by setting translational and torsional springs with different stiffness constants. The dynamic equation of the coupling system is established in combination with energy principles and Rayleigh-Ritz method, the free vibration problem is converted into solving the eigenvalue and eigenvector of matrix. Compare the theoretical analysis results with the finite element results, the accuracy of the method are verified. The multi-span beam structure theoretical analysis method proposed in this article has good reference significance for the vibration analysis of the engineering coupling system.更多还原