On the advantages of a geometrical viewpoint in the derivation of Lagrange’s equations for a rigid continuum
作者： J. Casey
DOI: 10.1007/978-3-0348-9229-2_41
关键词: Partial derivative 、 Rigid body 、 Angular momentum 、 Configuration space 、 Mathematical analysis 、 Continuum (topology) 、 Mathematics 、 Dynamics (mechanics) 、 D'Alembert's principle 、 Virtual work
摘要: By way of background, it may be remarked that for a body consisting finitely many particles, several different derivations Lagrange’s equations can found in the dynamics literature.1 These include: proceeding from Newton’s second law by an unenlightening manipulation partial derivatives; those employing principle virtual work; and appealing to variational principles.
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