The Method Of Checking The Related Degree Of Dispersed Mathematical Model Based On The Phase Space Reconstruction Theory Of Response Time Series

Structural dynamic analysis in engineering has two basic methods- finite element analysis method and test model analysis technology, they all have their own advantage and defect, recently , some put forward to combine finite element analysis method and test model analysis technology, take length mutually and mend short, in order to analyse and calculate the dynamical character of the structure. It is in this texts that under the guidance of this kind of thought, set out from the angle of time domain, take the aim of dynamic response array which receives from testing and computational mathematical model, Draw the systematic dynamic information, set up the relevant analytical method suitable for dynamical analysis, and go on the relevant analysis between the finite element calculating model( the dispersed mathematics model) and test model.What the practical problems is often gotten is a single variable time series whichhas a time interval of â–³t ,reflect by a lot of interactive physics factor, containing themark of all variates participating in movement, traditional time series analysis is to analyse going from this array to the form directly it's time develops, one dimension analysis loses useful information, the characteristics of phase space reconstruction method is to construct one dimension scalar quantity to high dimension vector, prop the geometry space of the state, show all dynamical information of system in phase space.The characteristic that just constructs again according to the phase space in this text, analyse the time series of responding, use the relevant knowledge of symbol dynamics and reconstruct phase space, put forward a kind of relation degree analysis method of the systematic mathematics model which has theory basis, so reach the correction of calculation mathematics model, make it accord with the actual systematic state. The specific physical background of research is : we take theresponse data calculated from structural finite element analysis dynamical computing model and the test respond data of the actual structure produced under the transient state encourage as the analysis object, reconstruct phase space for this two sequences, construct sequences to vector, then carry out relation degree analysis between the mathematics model and real structure and analyse the accordance At the same time, using this kind of method, have carried out more careful and thorough discussion especially according to complex structure, have analysed applicability and the characteristic of this kind of method, and identified the feasibility of this kind of related analysis method, and have offered a basis differentiating the reliability of the finite element calculation model in structural dynamic analysis and modifying . This paper study and discuss respond related analysis theory is the supplement of theory and perfection for the model relation theory in the time domain, at the same time is also a helpful try on combining nonlinear theory and sequence analysis theory and structural dynamic analysis.