CAJ | 학술논문

文章针对船舶推进轴系多质量、多弹性支撑的工程实际结构，运用有限单元法，基于带弹性支撑、集中质量的纵横耦合振动梁单元的非线性刚度矩阵及质量矩阵，建立了结构有限元动力学分析模型，计算了其动态响应位移及幅频特性曲线，并对响应结果进行了分析；由于纵横耦合振动存在着较强的耦合作用，其动态响应位移比无耦合作用下的位移大，在频域上有更多的激励频率分量；因此，在设计时系统的固有频率不仅要避开激励频率，同时要避开纵、横激励频率的线性组合；文中还研究了在不同激励力幅值和不同激励频率下船舶轴系耦合振动的非线性响应的影响规律。计算分析结果对船舶推进轴系的设计具有一定的指导借鉴意义。
문장침대선박추진축계다질량、다탄성지탱적공정실제결구，운용유한단원법，기우대탄성지탱、집중질량적종횡우합진동량단원적비선성강도구진급질량구진，건립료결구유한원동역학분석모형，계산료기동태향응위이급폭빈특성곡선，병대향응결과진행료분석；유우종횡우합진동존재착교강적우합작용，기동태향응위이비무우합작용하적위이대，재빈역상유경다적격려빈솔분량；인차，재설계시계통적고유빈솔불부요피개격려빈솔，동시요피개종、횡격려빈솔적선성조합；문중환연구료재불동격려력폭치화불동격려빈솔하선박축계우합진동적비선성향응적영향규률。계산분석결과대선박추진축계적설계구유일정적지도차감의의。
Ship shafting with multi-support and lumped mass is studied by the FEM based on the nonlinear stiffness and mass matrix of the beam element. Responses of longitudinal and transversal coupling vibration are calculated by the combination of the Newmark method and Newton-Raphson method and the results are analyzed. It shows that the dynamic responses of longitudinal and transver-sal coupling vibration are larger than the responses of linear vibration due to strong interaction be-tween longitudinal and transversal vibrations in the time-history domain. Furthermore, they have more exciting frequency components in the frequency domain. So the natural frequencies of the design system not only should avoid the excitation frequencies but also should avoid the combined excita-tion frequencies. The law of the responses of nonlinear coupling vibration with different excitation force amplitudes and different excitation frequencies is investigated. The calculation results have cer-tain guiding significance to practical engineering research for ship shafting design.