Abstract
Dynamic analysis of the optical–mechanical structure based on the linear state space expression is performed for a three-point flexural mount lightweight space mirror with a diameter of ϕ740 mm. Using linear structure dynamics and linear state space theories, the state space model of the mirror assembly is established based on modal information. The DC gain method is used to reduce modes and a frequency response analysis of the reduced modes is performed to obtain the frequency domain transfer function between the excitation input and response output points and determine the contribution of each mode to the total frequency response. The frequency response curve is plotted. A mechanical vibration test is performed to verify the accuracy and rationality of simulation analysis. The dynamic analysis method based on state space theory provides a new method of investigating optical and mechanical structures, which can help efficiently and accurately analyze the frequency response characteristics of complex linear systems.
Highlights
With the increasingly important applications of modern space optical remote sensing imaging technology in civilian, military and commercial fields, there is a demand for optical systems with better resolution
Based on modal analysis and state space theory, this paper provides a method of analyzing the frequency transfer characteristics of various complex structures
Dynamic analysis is performed on a spatial optical mirror with an diameter of φ740 mm, modal analysis on the primary mirror assembly is performed using the finite element method, modal information such as the natural frequency of the mirror assembly is obtained, and the single input and single output of the mirror assembly state space model are established
Summary
With the increasingly important applications of modern space optical remote sensing imaging technology in civilian, military and commercial fields, there is a demand for optical systems with better resolution. For systems with complex structures and huge model sizes, such as space optical mirror components, finite element method analysis has the problems of a large calculation volume and low solution efficiency. Based on the extended state space formalism, an implicit time integration method using linear approximation was developed to analyze the dynamic response of multiple non-viscous damping models of structural systems [11]. Based on modal analysis and state space theory, this paper provides a method of analyzing the frequency transfer characteristics of various complex structures. Dynamic analysis is performed on a spatial optical mirror with an diameter of φ740 mm, modal analysis on the primary mirror assembly is performed using the finite element method, modal information such as the natural frequency of the mirror assembly is obtained, and the single input and single output of the mirror assembly state space model are established. A mechanical vibration test is performed to verify the accuracy of the simulation analysis
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