A structure/damping integrated design method suitable for new space vehicles
A space vehicle and design method technology, applied in the direction of instruments, calculations, special data processing applications, etc., can solve the problems of not establishing the optimal laying position for damping and vibration reduction, affecting the development progress, and wasting damping materials, so as to speed up the development progress, improvement of vibration environment, and improvement of vibration reduction efficiency
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[0023] The multi-degree-of-freedom system will produce forced vibration after being externally excited, and the vibration differential equation of the system with proportional damping can be established by using methods such as D’Alembert’s principle as
[0024]
[0025] After modal coordinate transformation, we get
[0026]
[0027] which is
[0028]
[0029] In modal coordinates, the equations can be decoupled into
[0030]
[0031] Solving the above equations, and using the modal superposition method, the system response in the physical coordinates is obtained as
[0032]
[0033] Among them, F is the magnitude of the external force, and the amplitude amplification factor of the jth-order principal coordinate displacement response is
[0034]
[0035] It can be seen from Equation 5) that the system has n resonant frequency points. Under external force excitation, the system vibration is superimposed by n-order main vibrations, and the steady-state respon...
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