3 research outputs found
A new form of equations for rigid body rotational dynamics
U ovom je radu izveden novi oblik diferencijalnih jednadžbi koje opisuju dinamiku rotacijskog gibanja krutog (čvrstog) tijela oko središta njegove mase. Kao varijable koriste se tri s-parametra (modificirani parametri Rodriga-Hamiltona) i tri parametra kutne brzine tijela. Izvedene jednadžbe su osobito korisne za analitičko i numeričko izučavanje rotacijskog gibanja čvrstog tijela. Istražena je topološka struktura konfiguracijskog s-prostranstva za uravnoteženo kruto tijelo. Razmotren je primjer uporabe izvedenih jednadžbi koje opisuju rotacijsko gibanje krutog tijela u otpornoj sredini.In the paper, a new form of differential equations for rigid body attitude dynamics is obtained. Three s-parameters (modified Rodrigues-Hamilton parameters) and three angular velocity parameters are used as unknown variables. Built equations are particularly useful for analytical and numerical study of rotational motion of a rigid body. The topological structure of configurational s-manifold for a balanced rigid body is investigated. An example of the use of constructed equations to describe the rotational motion of a rigid body in a resisting medium is considered
A new form of equations for rigid body rotational dynamics
In the paper, a new form of differential equations for rigid body attitude dynamics is obtained. Three s-parameters (modified Rodrigues-Hamilton parameters) and three angular velocity parameters are used as unknown variables. Built equations are particularly useful for analytical and numerical study of rotational motion of a rigid body. The topological structure of configurational s-manifold for a balanced rigid body is investigated. An example of the use of constructed equations to describe the rotational motion of a rigid body in a resisting medium is considered
A new form of equations for rigid body rotational dynamics
U ovom je radu izveden novi oblik diferencijalnih jednadžbi koje opisuju dinamiku rotacijskog gibanja krutog (čvrstog) tijela oko središta njegove mase. Kao varijable koriste se tri s-parametra (modificirani parametri Rodriga-Hamiltona) i tri parametra kutne brzine tijela. Izvedene jednadžbe su osobito korisne za analitičko i numeričko izučavanje rotacijskog gibanja čvrstog tijela. Istražena je topološka struktura konfiguracijskog s-prostranstva za uravnoteženo kruto tijelo. Razmotren je primjer uporabe izvedenih jednadžbi koje opisuju rotacijsko gibanje krutog tijela u otpornoj sredini.In the paper, a new form of differential equations for rigid body attitude dynamics is obtained. Three s-parameters (modified Rodrigues-Hamilton parameters) and three angular velocity parameters are used as unknown variables. Built equations are particularly useful for analytical and numerical study of rotational motion of a rigid body. The topological structure of configurational s-manifold for a balanced rigid body is investigated. An example of the use of constructed equations to describe the rotational motion of a rigid body in a resisting medium is considered