Titlebook: Rational and Applied Mechanics; Volume 2. Special Pr Nikolai Nikolaevich Polyakhov,Petr Evgenievich Tov Textbook 2021 Springer Nature Switz

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Dynamics and Statics of the Stewart Platformamics of a Stewart platform is considered by applying a special form of differential motion equations. In Part III, the statics of a 3-rod Stewart platform is studied using the Lagrange equations of the second kinds.

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Statics and Dynamics of Thin Rodudinal and transverse vibrations. The chapter introduces readers to the basic research methods which are the D’Alembert and Fourier methods, the methods of studying parametric resonances, the asymptotic method of two-scale expansion.

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Flight Dynamicsaircraft motion in the launch coordinate system, and apply methods of nonholonomic mechanics for aircraft targeting. It is also pointed out that flight dynamics is concerned with motion of airplane and launch vehicles in the Earth atmosphere and its methods can be applied to the study of motion of submarines and surface ships.

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1612-1384 d depth of presenting the material.Corresponds to 4th editioAvailable for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St

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Generalized Chebyshev Problem. Nonholonomic Mechanics and Control Theoryn the model problem of oscillation suppression for a cart with pendulums. We pose and solve an extended boundary-value problem. Because of this, it proves possible to find a control force without jumps peculiar to solutions obtained via the Pontryagin maximum principle.

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Stability of Motiony. Thompson and Tait’s theorems is discussed. Routh–Hurwitz’s and Mikhailov’s criteria are given. The stability of periodicmotions of nonautonomous systems is studied from the linear approximation. The stability of the zero solution of the Mathieu equation is considered, to which one may reduce osci

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Nonlinear Oscillations). A relation between the Bubnov–Galerkin method with the Gauss’ principled is established. A detailed exposition is given to P. L. Kapitsa’s method of direct separation of motions, which at present is not adequately presented in textbooks. Theoretical results are clarified by solving a number of ne

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Dynamics and Statics of the Stewart Platformmechanics: the theorem of the center of mass and the law of moment of momentum in relative motion with respect to the mass center. In Part II, the dynamics of a Stewart platform is considered by applying a special form of differential motion equations. In Part III, the statics of a 3-rod Stewart pla