V型耦合板架截断模型动力边界等效方法

Dynamic Boundary Equivalence for Truncation Model of the V-shaped Stiffened Plate

  • 摘要: 【目的】为了对船舶与海洋结构物局部板架的动力性能进行数值计算和实验测试,需要将局部结构从整体模型中截取出来,采用适当的等效方法模拟与之相连的结构对局部板架结构动力性能的影响,探究板架结构截断模型的动力边界等效问题。【方法】采用有限元法分析了耦合角度和附板长度对V型板架自由振动特性的影响,分析了弹性支撑刚度对一边弹性支撑三边自由边界条件下正交加筋板自由振动特性的影响,对比分析了不同耦合角度、不同附板长度V型板架与弹性支撑正交加筋板固有频率与振型的对应关系,形成了V型耦合板架截断边界动力等效方法。【结果】研究表明:V型板架前4阶板类模态的敏感耦合角度范围为140°至180°,模态较为稳定的附板长度区间为0.6 m至0.9 m。弹性支撑刚度较小时,附加质量会显著降低正交加筋板固有频率,提高各阶模态的敏感刚度,减小敏感刚度的频率范围;弹性支撑刚度较大时,附加质量对正交加筋板固有频率影响甚微。V型板架前四阶板类模态的动力边界等效弹性刚度随耦合角度增大而减小,V型耦合板架附板长度变化会引起部分模态此消彼长的转化现象和振型畸变现象。【结论】弹性支撑正交加筋板总体上能够较好地等效V型耦合板架的动力耦合边界条件,只是固有振型在模态转化过程中有所差别。

     

    Abstract: Objectives In order to carry out numerical analysis and experimental test on dynamic performance of stiffened plates truncated from naval architecture and marine structures, it is necessary to address the issue of dynamic boundary equivalence to simulate the influence of the surrounding coupling structures on the dynamic characteristics of the truncated structure. Methods Finite element method is used to analyze the influence of coupling angle and length of the aligned plate on the free vibration behaviors of the V-shaped stiffened plate and the influence of elastic support stiffness on the free vibration behaviors of the orthogonally stiffened plate with one elastic supported edge and three free edges. A comparative study on vibration characteristics of the V-shaped stiffened plate with different coupling angles and different lengths of the aligned plate and those of the orthogonally stiffened plate with appropriate elastic support stiffness is performed to obtain a simulation method for dynamic boundary equivalence of the truncated stiffened plate. Results Results show that the sensitive range of the coupling angle of the V-shaped stiffened plate for the first four modes is 140° to 180°, and mode stability range of the length of the aligned plate is 0.6 m to 0.9 m. When the elastic support stiffness is small, the additional mass decreases the natural frequencies, increases the sensitive stiffness and narrows the frequency range of the sensitive stiffness of the orthogonally stiffened plate. When the elastic support stiffness is large, the additional mass has little effect on the natural frequencies of the orthogonally stiffened plate. The equivalent elastic support stiffness of the first four modes of the V-shaped stiffened plate decreases with the increase of the coupling angle. The variation of the length of the aligned plate of the V-shaped stiffened plate results in modal differentiation and mode shape distortion. Conclusions Despite of the difference between the mode shapes of the truncated stiffened plate and those of the orthogonally stiffened plate with elastic support boundary conditions in modal differentiation, the orthogonally stiffened plate with appropriate elastic support stiffness is qualified to simulate the dynamic coupling boundary conditions of the V-shaped stiffened plate.

     

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