Structural Dynamics Analysis of a Large Aperture Space Telescope Based on the Linear State Space Method.

Area of Science:

• Opto-mechanical engineering
• Structural dynamics
• Control theory

Background:

• Optical remote sensing cameras are complex opto-mechanical systems requiring accurate dynamic analysis.
• Traditional methods may lack efficiency for high-dimensional systems.

Purpose of the Study:

• To establish a linear state space model for a 572 mm aperture optical remote sensing camera.
• To reduce the model order using the balanced reduction method.
• To analyze and verify the frequency response characteristics of the reduced model.

Main Methods:

• Structural dynamics and linear state space theory were used to establish the camera model.
• Balanced reduction method, incorporating controllability and observability matrices, was applied for model order reduction.
• Frequency response analysis was performed on the reduced state space model.

Main Results:

• A reduced state space model was obtained, enabling accurate frequency response analysis.
• The simulation results were validated against dynamic tests.
• The balanced reduction method demonstrated higher computational efficiency compared to DC gain and full model methods.

Conclusions:

• The balanced reduction method offers a novel and efficient approach for studying the dynamics of lightweight opto-mechanical structures.
• The reduced model effectively characterizes system properties and facilitates rapid, accurate frequency response analysis.
• This method is beneficial for analyzing complex linear systems in optical remote sensing applications.