By ΠΡΠ±ΠΈΠΌΠΎΠ² ΠΠ»Π°Π΄ΠΈΡΠ»Π°Π² ΠΠ°ΡΠΈΠ»ΡΠ΅Π²ΠΈΡ
ΠΠ»Π°Π΄ΠΈΡΠ»Π°Π² ΠΠ°ΡΠΈΠ»ΡΠ΅Π²ΠΈΡ ΠΡΠ±ΠΈΠΌΠΎΠ², 2021
Π ΠΏΠΎΡΠΎΠ±ΠΈΠΈ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°ΡΡΡΡ ΠΊΠ»ΡΡΠ΅Π²ΡΠ΅ ΠΊΠΎΠ½ΡΠ΅ΠΏΡΠΈΠΈ ΠΈ ΡΠ΅ΠΎΡΠ΅ΠΌΡ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠΉ ΡΠ΅ΠΎΡΠΈΠΈ ΡΡΡΠΎΠΉΡΠΈΠ²ΠΎΡΡΠΈ. ΠΡΠΎΠ±ΠΎΠ΅ Π²Π½ΠΈΠΌΠ°Π½ΠΈΠ΅ ΡΠ΄Π΅Π»ΡΠ΅ΡΡΡ Π²ΡΠΎΡΠΎΠΌΡ ΠΌΠ΅ΡΠΎΠ΄Ρ ΠΡΠΏΡΠ½ΠΎΠ²Π° ΠΈ Π΅Π³ΠΎ ΠΌΠΎΠ΄ΠΈΡΠΈΠΊΠ°ΡΠΈΡΠΌ Π΄Π»Ρ Π°Π½Π°Π»ΠΈΠ·Π° ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ ΡΠΈΠΏΠΎΠ² ΡΠΈΡΡΠ΅ΠΌ. Π’Π΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΡ ΠΏΠΎΠ΄ΠΊΡΠ΅ΠΏΠ»Π΅Π½Ρ ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈΠΌΠΈ ΠΏΡΠΈΠΌΠ΅ΡΠ°ΠΌΠΈ ΠΈΠ· Π°Π²ΠΈΠ°ΡΠΈΠΈ ΠΈ ΠΊΠΎΡΠΌΠΎΠ½Π°Π²ΡΠΈΠΊΠΈ, ΠΈΠ»Π»ΡΡΡΡΠΈΡΡΡΡΠΈΠΌΠΈ ΡΠ°ΠΊΠΈΠ΅ ΡΠ²Π»Π΅Π½ΠΈΡ, ΠΊΠ°ΠΊ Π±ΠΈΠ΅Π½ΠΈΡ, Π°Π²ΡΠΎΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ ΠΈ ΡΠ»Π°ΡΡΠ΅Ρ.
Vladislav Vasilievich Lyubimov, 2021
This manual covers fundamental concepts and theorems of modern stability theory for systems. It focuses on the second method of Lyapunov and its variations, analyzing systems in the first approximation, conservative systems, and those with dissipative forces or small parameters. The theoretical material is accompanied by diverse examples of stability theory applications in aviation and spaceflight, exploring phenomena like beats, self-oscillations, and flutter.