2 research outputs found
ΠΠ΅ΠΎΠΌΠ΅ΡΡΠΈΡΠ½Π΅ ΠΌΠΎΠ΄Π΅Π»ΡΠ²Π°Π½Π½Ρ ΡΠ½Π΅ΡΡΡΠΉΠ½ΠΎΠ³ΠΎ ΡΠΎΠ·ΠΊΡΠΈΡΡΡ Π±Π°Π³Π°ΡΠΎΠ»Π°Π½ΠΊΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠ°ΡΡΠ½ΠΈΠΊΠ° Ρ Π½Π΅Π²Π°Π³ΠΎΠΌΠΎΡΡΡ
We investigated a geometrical model of unfolding a rod frame of an orbital object as a process of oscillations of a multi-link pendulum under conditions of weightlessness and within an abstract plane. The initiation of oscillations is assumed to be driven by the pulse action on one of the nodal elements of the pendulum, implemented using a pulsed rocket engine. The transported (starting) position of a multilink pendulum shall be accepted in the βfoldedβ form. A notation of the inertial frame unfolding is performed employing the Lagrange equation of the second kind, in which potential energy was not taken into consideration because of weightlessness.It was established in the course of research:βΒ to unfold the structure, there is no need to synchronize the means of control over the magnitudes of angles in separate nodes;βΒ transverse oscillations of nodes (tremor) before the moment of full unfolding of a multi-link pendulum can be used as signal for the actuation of locks in order to fix the position of its adjacent links;βΒ based on a circuit for unfolding a single multi-link structure, it is possible to form multi-beam circuits with a shared non-movable attachment node (a triad as an example).Reliability of the obtained approximate solution was tested using the created animated film about the unfolding process of the structure. An example of a four-link pendulum was studied in detail. The results might prove useful when designing the unfolding of large-size structures under conditions of weightlessness, for example, frames for solar mirrorsΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Π° Π³Π΅ΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΡΠ°ΡΠΊΡΡΡΠΈΡ ΠΊΠ°ΡΠΊΠ°ΡΠ° ΠΎΡΠ±ΠΈΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΎΠ±ΡΠ΅ΠΊΡΠ° ΠΊΠ°ΠΊ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ ΠΌΠ½ΠΎΠ³ΠΎΠ·Π²Π΅Π½Π½ΠΎΠ³ΠΎ ΠΌΠ°ΡΡΠ½ΠΈΠΊΠ° Π² ΡΡΠ»ΠΎΠ²ΠΈΡΡ
Π½Π΅Π²Π΅ΡΠΎΠΌΠΎΡΡΠΈ. ΠΠΎΠ»Π΅Π±Π°Π½ΠΈΡ Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡ Π±Π»Π°Π³ΠΎΠ΄Π°ΡΡ Π²ΠΎΠ·Π΄Π΅ΠΉΡΡΠ²ΠΈΡ ΠΈΠΌΠΏΡΠ»ΡΡΠ° ΡΠ΅Π°ΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ Π΄Π²ΠΈΠ³Π°ΡΠ΅Π»Ρ Π½Π° ΠΊΠΎΠ½Π΅ΡΠ½ΡΠΉ ΡΠ·Π΅Π» ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠ² ΠΌΠ°ΡΡΠ½ΠΈΠΊΠ°. ΠΠΏΠΈΡΠ°Π½ΠΈΠ΅ ΠΈΠ½Π΅ΡΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΠ°ΡΠΊΡΡΡΠΈΡ ΠΌΠ°ΡΡΠ½ΠΈΠΊΠ° Π²ΡΠΏΠΎΠ»Π½Π΅Π½ΠΎ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΡΡΠ°Π²Π½Π΅Π½ΠΈΡ ΠΠ°Π³ΡΠ°Π½ΠΆΠ° Π²ΡΠΎΡΠΎΠ³ΠΎ ΡΠΎΠ΄Π°. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΡΠ΅Π»Π΅ΡΠΎΠΎΠ±ΡΠ°Π·Π½ΠΎ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΡ ΠΏΡΠΈ ΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½ΠΈΠΈ ΡΠ°ΡΠΊΡΡΡΠΈΡ ΠΊΡΡΠΏΠ½ΠΎΠ³Π°Π±Π°ΡΠΈΡΠ½ΡΡ
ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠΉ Π² ΡΡΠ»ΠΎΠ²ΠΈΡΡ
Π½Π΅Π²Π΅ΡΠΎΠΌΠΎΡΡΠΈ, Π½Π°ΠΏΡΠΈΠΌΠ΅Ρ, ΠΊΠ°ΡΠΊΠ°ΡΠΎΠ² Π΄Π»Ρ ΡΠΎΠ»Π½Π΅ΡΠ½ΡΡ
Π·Π΅ΡΠΊΠ°Π»ΠΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½ΠΎ Π³Π΅ΠΎΠΌΠ΅ΡΡΠΈΡΠ½Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΡΠΎΠ·ΠΊΡΠΈΡΡΡ ΠΊΠ°ΡΠΊΠ°ΡΡ ΠΎΡΠ±ΡΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΎΠ±βΡΠΊΡΠ° ΡΠΊ ΠΏΡΠΎΡΠ΅ΡΡ ΠΊΠΎΠ»ΠΈΠ²Π°Π½Π½Ρ Π±Π°Π³Π°ΡΠΎΠ»Π°Π½ΠΊΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠ°ΡΡΠ½ΠΈΠΊΠ° Π² ΡΠΌΠΎΠ²Π°Ρ
Π½Π΅Π²Π°Π³ΠΎΠΌΠΎΡΡΡ. ΠΠΎΠ»ΠΈΠ²Π°Π½Π½Ρ Π²ΠΈΠ½ΠΈΠΊΠ°ΡΡΡ Π·Π°Π²Π΄ΡΠΊΠΈ Π²ΠΏΠ»ΠΈΠ²Ρ ΡΠΌΠΏΡΠ»ΡΡΡ ΡΠ΅Π°ΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ Π΄Π²ΠΈΠ³ΡΠ½Π° Π½Π° ΠΏΡΠΈΠΊΡΠ½ΡΠ΅Π²ΠΈΠΉ Π²ΡΠ·ΠΎΠ» Π΅Π»Π΅ΠΌΠ΅Π½ΡΡΠ² ΠΌΠ°ΡΡΠ½ΠΈΠΊΠ°. ΠΠΏΠΈΡ ΡΠ½Π΅ΡΡΡΠΉΠ½ΠΎΠ³ΠΎ ΡΠΎΠ·ΠΊΡΠΈΡΡΡ ΠΌΠ°ΡΡΠ½ΠΈΠΊΠ° Π²ΠΈΠΊΠΎΠ½Π°Π½ΠΎ Π·Π° Π΄ΠΎΠΏΠΎΠΌΠΎΠ³ΠΎΡ ΡΡΠ²Π½ΡΠ½Π½Ρ ΠΠ°Π³ΡΠ°Π½ΠΆΠ° Π΄ΡΡΠ³ΠΎΠ³ΠΎ ΡΠΎΠ΄Ρ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΠΈ Π΄ΠΎΡΡΠ»ΡΠ½ΠΎ Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°ΡΠΈ ΠΏΡΠΈ ΠΏΡΠΎΠ΅ΠΊΡΡΠ²Π°Π½Π½Ρ ΡΠΎΠ·ΠΊΡΠΈΡΡΡ Π²Π΅Π»ΠΈΠΊΠΎΠ³Π°Π±Π°ΡΠΈΡΠ½ΠΈΡ
ΠΊΠΎΠ½ΡΡΡΡΠΊΡΡΠΉ Π² ΡΠΌΠΎΠ²Π°Ρ
Π½Π΅Π²Π°Π³ΠΎΠΌΠΎΡΡΡ, Π½Π°ΠΏΡΠΈΠΊΠ»Π°Π΄, ΠΊΠ°ΡΠΊΠ°ΡΡΠ² Π΄Π»Ρ ΡΠΎΠ½ΡΡΠ½ΠΈΡ
Π΄Π·Π΅ΡΠΊΠ°