动态子结构高效集成的主动力和界面力处理方法

A method to deal with external and interface forces for efficient integration of dynamic substructure analysis

在现有的船舶水弹性子结构分离与集成方法中,主船体结构的振动采用以模态广义坐标为变量的动力学方程进行描述,船内子结构的振动采用以空间物理位移为变量的动力学方程进行描述。通过两者的边界连接条件进行综合集成时,会遇到模态空间与物理空间的转换集成问题。针对该问题,提出了“虚拟模态”方法,一方面可以使动态子结构集成计算精确,另一方面可大幅减少子结构集成的计算量。理论上,该“虚拟模态”方法适用于其他领域类似的动态子结构集成计算问题。最后,通过数值算例,对该“虚拟模态”方法的正确性和适用性进行了验证。

In the hydroelastic substructure separation and integration method,the structural vibration of the main hull is described by dynamic equations in terms of the generalized modal coordinates,while the vibration of the internal substructure is expressed with dynamic equations in terms of the geometric coordinates of displacements.When carrying out a synthesis analysis in the light of the boundary connection conditions,there exist compatibility problems between the modal space and the geometric space.In order to deal with this problem,a virtual modal method is proposed in this work.This method will greatly reduce the computational effort for structural integration,with the calculation precision guaranteed at the same time.Theoretically speaking,this virtual modal method is also applicable to problem analogous in some other research areas.Finally,the correctness and applicability of this method are validated through a numerical example.