Covers both holonomic and non-holonomic constraints in a study of the mechanics of the constrained rigid body.
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Dynamics of the Rigid Solid with General Constraints by a Multibody Approach
Nicolae Pandrea and Nicolae–Doru Stănescu, University of Pitești, Romania
The increasing complexity of mechanics problems means that engineers and scientists have to look beyond traditional approaches, and must now use numerical methods to obtain solutions. New algorithms will continue to be developed in the coming years, enabling even more complex problems to be solved.
Dynamics of the Rigid Solid with General Constraints by a Multibody Approach considers both the holonomic and non-holonomic constraints for the mechanics of the constrained rigid body. It takes a multibody system approach, performs calculations in matrix form and covers the matrix of constraints in detail. Algorithms for the numerical calculations are provided for the methods described and the theory is applied to solved numerical examples. It begins with presenting the elements of mathematical calculation that will be used throughout the book, before moving on to cover dynamics and kinematics. Matrix differential equations of motion are then presented, and equilibrium and generalized forces are discussed. Finally the motion of the solid rigid with constraints at given proper points, proper curves and a bounding surface is covered.
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