基于有限元的结构动力学响应映射技术研究

Response mapping technique of structural dynamics based on finite element model

研究了结构动力学试验响应测量数据的映射技术。借助于比较精确的结构动力学有限元模型,在力激励或基础激励条件下,通过傅里叶变换、逆变换和矩阵运算,可以从试验结构的少量测量自由度上的时域动响应时间历程映射得到整个结构上任意自由度上的动响应时间历程。推导了这种响应映射的具体公式,说明了该方法可应用的领域与存在的问题。并通过某结构基础激励响应测试的实例验证了该技术的可行性。该映射方法已被编制为软件,并与MSC/NASTRAN有限元仿真分析软件集成。

Here,the mapping technique of structural dynamic response data intests was studied.The time domain dynamic response of arbitrary DOF in a structure could be gained through mapping from its structural dynamic response data obtained in tests under force or displacement excitation with Fourier transformation and matrix calculation based on a precise structural-dynamic finite element model.The expressions of the response mapping were deduced.Fields where the response mapping method was feasible and the existing problems were also introduced.The feasibility of the technique was verified using an example of a structural response test with basement excitation.The mapping method was programmed and integrated in MSC/NASTRAN software.