Titlebook: Rigid Body Dynamics; A Lagrangian Approac Hamad M. Yehia Book 2022 Springer Nature Switzerland AG 2022 Rigid body dynamics.Lagrangian mecha

燈絲

Particular Solutions of the Classical Problem and Its Generalizationsssian authors, including such celebrated names as Joukovsky, Lyapunov, Steklov and Chaplygin, concentrated on research on various aspects of rigid body dynamics. Their contributions have built up a large part of the information available today about various problems in the dynamics of rigid body.

河流

The Rigid Body in a Potential Fieldassing through the fixed point. For such fields, the potential is a function of the Eulerian angles ., and the precession angle is a cyclic coordinate. The areas integral is preserved. The study of the Routhian reduction of the problem opens some possibilities for deeper analysis of properties of motion.

Intuitive

粗俗人

Distribution of MassIn the study of the dynamics of a rigid body, we deal in a natural way with certain quantities which are determined by the distribution of mass in that body. In this chapter, we introduce those quantities and study their properties and the relations between them.

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The Motion of a Heavy GyrostatOriginally, the gyrostat, as the terminology was coined by Lord Kelvin, is a heavy rigid body with a rotor or a fly-wheel spinning with a constant angular speed about its axis of symmetry.

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Spina-Bifida

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athlete’s-foot

Pericarditis

Miscellaneous Cases Integrable on a Single Level of the Areas Integral the problems discussed in previous chapters that have definite physical interpretation, but they are unified only by being valid on a single level of the areas integral, and mostly on . The first set consists of the separable cases investigated in Chap.?. above.