Tensor Matrix Formulation And Its Use In The Flexible Solar Sail Dynamic Modeling

The solar sail is a new type of spacecraft with light weight and great flexibility,and its dynamic modeling is different from the classical spacecraft modeling because of its unique and flexible structure.To solve this problem,a new coordinate representation method called tensor matrix formulation(TMF)is proposed based on the tensor theory and the absolute nodal coordinate finite element method(ANCF).In this paper,a large flexible solar sail spacecraft,The establishment of the model,as well as the ability to control the analysis of institutions.In purpose to make a better research on the large flexible solar sail and provide a new modeling method for similar problems in the same discipline,the second chapter of this paper proposes a TMF method with multi-order maths representation and operation,ANCF and HC methods,a homogeneous tensor matrix formulation method(HTMF)is proposed,and its operation criterion is deduced.The simulation flow is given and compared with the classical method.This method has the advantages of neat and intuitionistic form and accurate calculation.It can replace the classical three-axis Euler angle representation of spacecraft in some research,and provides a new choice for modeling and solving.To use TMF to make accurate and reliable solar sail modeling,the third chapter gives the general application and verification of TMF / HTMF in mechanics problem.The kinematics and dynamics modeling method is given by its physical meaning,and the simulation results are given to demonstrate the effectiveness and correctness of the TMF / HTMF method in modeling and simulation.Since the method cannot be directly solved mathematically,the transformation rules are given in the form of classical spacecraft equations.The realization also provides an interface between TMF / HTMF and ANCF method,which can be used as advanced mechanics method and advanced aircraft demand.Excellent interface.To study the large flexibility of the solar sail,the flexible part of the solar sail must be modeled and simulated to assure its correctness.In chapter 4,absolute node coordinate method is used to model the finite element and compared with Abaqus simulation result to ensure the correctness and reliability of the model.Based on the elastic model,the dynamic modeling of solar sail can be further studied.Solar sail is advanced large flexible aircraft,different flexible components,the various components are also interrelated.Using the usual spacecraft center rigid body with flexible attachment for modeling,is undoubtedly not feasible.Therefore,chapter 5 according to its structural characteristics of a reasonable simplification,and the use of TMF method for analytic modeling,to obtain an analytic model coupled with ANCF.The model can be applied to the analysis and simulation of attitude dynamics and orbit dynamics,and its corresponding examples are given to analyze the influence of various control mechanisms and deformation and vibration on attitude orbit.