Abstract: Some special dynamic problems encountered in small satellites were studied, and the corresponding solutions were developed. To solve the difficulties of analysis and test for high level shock much higher than the frequentlyused shock test standard spectrum, a method was proposed to analyze the high level shock. As for problems in strength design under random vibration for small satellites, the influence of the modal effective mass ratios and modal frequencies on quasistatic load computation was studied. The analysis shows that neglecting the coupling of modal effective masses and the coupling of modal frequencies leads to large error in quasistatic load computation under random vibration. The method for quasistatic load computation with consideration of the coupling of modal effective masses was proposed. Finally, the study on vibration reduction was carried out for a small satellite, and the vibration reduction for sine vibration and random vibration was analyzed. The calculation method of the main frequency for vibration reduction system with symmetrical installation was given.

Key words: high level shock, shock test standard, random vibration, modal mass, quasistatic load, vibration reduction