CAJ | 학술논문

　　根据旋转Timoshenko梁的运动微分方程，推导了计算船舶推进轴系回旋振动时分布质量轴模型的传递矩阵。相对于集中质量轴模型，分布质量轴模型可以计入轴分布质量的平动惯量、转动惯量、陀螺力矩以及剪切变形的影响，更加逼近船舶推进轴系回旋运动的实际物理模型，因此能更精确地计算轴系的临界转速和固有振型。在分布质量轴模型的基础上，采用数值稳定性良好的改进Riccati传递矩阵法编制了回旋振动计算程序，并应用于两型船舶的推进轴系计算。将文中方法的计算结果与有限元法以及第三方计算报告进行了比对，结果具有良好的一致性，从而验证了方法的正确性和计算精度。
　　근거선전Timoshenko량적운동미분방정，추도료계산선박추진축계회선진동시분포질량축모형적전체구진。상대우집중질량축모형，분포질량축모형가이계입축분포질량적평동관량、전동관량、타라력구이급전절변형적영향，경가핍근선박추진축계회선운동적실제물리모형，인차능경정학지계산축계적림계전속화고유진형。재분포질량축모형적기출상，채용수치은정성량호적개진Riccati전체구진법편제료회선진동계산정서，병응용우량형선박적추진축계계산。장문중방법적계산결과여유한원법이급제삼방계산보고진행료비대，결과구유량호적일치성，종이험증료방법적정학성화계산정도。
According to the motion partial differential equations of the rotating Timoskenko beam, the transfer matrix of the distributed mass shaft model for the whirling vibration calculation was deduced. Compared with the lumped mass shaft model, the translational inertia, rotational inertia, gyroscopic moments and shear deformation are included in the distributed mass shaft model. Thus the distributed mass shaft model is closer to the actual shafting motion and more accurate critical speeds and vibration modes can be obtained. Based on the distributed mass shaft model, the whirling vibration calculation program using the improved Riccati transfer matrix method was accomplished and applied to the calculation of two types of ship propulsion shafting. The presented results were confirmed by comparing them with those of the finite element method (FEM) and the calculation report gave by the third researcher, and good agreement was achieved. Consequently the validity and precision of the presented method were validated.