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- Mass_matrix abstract "In analytical mechanics, the mass matrix is a symmetric matrix M that expresses the connection between the time derivative of the generalized coordinate vector q of a system and the kinetic energy T of that system, by the equationwhere denotes the transpose of the vector . This equation is analogous to the formula for the kinetic energy of a particle with mass and velocity v, namelyand can be derived from it, by expressing the position of each particle of the system in terms of q.In general, the mass matrix M depends on the state q, and therefore varies with time.Lagrangian mechanics yields an ordinary differential equation (actually, a system of coupled differential equations) that describes the evolution of a system in terms of an arbitrary vector of generalized coordinates that completely defines the position of every particle in the system. The kinetic energy formula above is one term of that equation, that represents the total kinetic energy of all the particles.".
- Mass_matrix thumbnail Mass_matrix_masses_in_1d.svg?width=300.
- Mass_matrix wikiPageID "23755090".
- Mass_matrix wikiPageRevisionID "599326724".
- Mass_matrix hasPhotoCollection Mass_matrix.
- Mass_matrix subject Category:Computational_science.
- Mass_matrix comment "In analytical mechanics, the mass matrix is a symmetric matrix M that expresses the connection between the time derivative of the generalized coordinate vector q of a system and the kinetic energy T of that system, by the equationwhere denotes the transpose of the vector .".
- Mass_matrix label "Mass matrix".
- Mass_matrix label "质量矩阵".
- Mass_matrix sameAs m.06zmlkn.
- Mass_matrix sameAs Q339704.
- Mass_matrix sameAs Q339704.
- Mass_matrix wasDerivedFrom Mass_matrix?oldid=599326724.
- Mass_matrix depiction Mass_matrix_masses_in_1d.svg.
- Mass_matrix isPrimaryTopicOf Mass_matrix.
